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2000 Fiscal Year Final Research Report Summary

NONLINEAR STATISTICAL MODELING AND MODEL EVALUATION

Research Project

Project/Area Number 09440082
Research Category

Grant-in-Aid for Scientific Research (B).

Allocation TypeSingle-year Grants
Section一般
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionKYUSHU UNIVERSITY

Principal Investigator

KONISHI Sadanori  KYUSHU UNIVERSITY, Graduate School of Mathematics, Professor, 大学院・数理学研究院, 教授 (40090550)

Co-Investigator(Kenkyū-buntansha) TABATA Masahisa  KYUSHU UNIVERSITY, Graduate School of Mathematics, Professor, 大学院・数理学研究院, 教授 (30093272)
NAKAO Mitsuhiro,t.  KYUSHU UNIVERSITY, Graduate School of Mathematics, Professor, 大学院・数理学研究院, 教授 (10136418)
YANAGAWA Takashi  KYUSHU UNIVERSITY, Graduate School of Mathematics, Professor, 大学院・数理学研究院, 教授 (80029488)
MAESONO Yoshihiko  KYUSHU UNIVERSITY, Faculty of Economics, Associate Professor, 大学院・経済学研究院, 助教授 (30173701)
FUKUMOTO Yasuhide  KYUSHU UNIVERSITY, Graduate School of Mathematics, Associate Professor, 大学院・数理学研究院, 助教授 (30192727)
Project Period (FY) 1997 – 2000
KeywordsNonlinear modeling / Chaotic time series / Information-theoretic criteria / Numerical verification / Finite element analysis / Motion and expansion of a vortex ring / Resampling methods / Nonlinear multivariate analysis
Research Abstract

Modeling and model evaluation are crucial issues in scientific data analysis. Models are used for understanding the structure of system or process and for making trustworthy predictions in various fields of natural and social sciences. The data contain the information about the system under consideration and the objective of statistical analysis is to express this information in an understandable form using a statistical model. We also make inferences about the unknown aspects of random phenomena and seek an understanding of causal relationships. Now the wide availability of fast and inexpensive computers enables us to construct various types of nonlinear models for analyzing data with complex structure. Through this research project we have investigated the problem of constructing various types of nonlinear models and obtained the results in the following : (1) Model evaluation and selection criteria ; information-theoretic criterion which enables us to evaluate various types of nonli … More near statistical models. (2) Nonlinear modeling based on kernel, spline, neural network. (3) Defining the embedding dimension and delay time in the chaotic time series with additive dynamic noise. (4) The estimation of the Lyapunov exponent for the nonlinear autoregressive time series models. (5) Techniques for the numerical vertification of solutions of differential equations. (6) A method to estimate the guaranteed error bounds of the finite element solutions for the Stokes problem. (7) Mathematical model of the earth's mantle movement. (8) A finite element analysis for a thermal convection problem with the infinite Parandl number on the earth's mantle convection. (9) The motion and expansion of a viscous vortex ring ; various dynamical aspects, such as formation, traveling speed, waves, instability, interactions. (10) The motion of an axisymmetric vortex ring of small cross-section in a viscous in compressible fluid. (11) Theory for normalizing transformations of asymptotic U-statistics. (12) The use of Weighted bootstrap methods. Less

  • Research Products

    (134 results)

All Other

All Publications (134 results)

  • [Publications] Tsuchiya,T.and Konishi: "General saddlepoint approximations and normalizing transformations for multivariate statistics"Communications in Statistics-Theory and Method. 26-11. 2541-2563 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Zhao,Y.and Konishi,S.: "Limit distributions of multivariate kurtosis and moments under Watson rotational symmetric distributions"Statistics and Probability Letters. 32. 291-299 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Ichikawa,M.and Konishi,S.: "Bootstrap tests for the goodness of fit in factor analysis"Behaviormetrika. 24. 27-38 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Honda,M.and Konishi,S.: "Resampling methods for error rate estimation in discriminant analysis"Data Science, Classification, and Related Methods (C.Hayashi et al.Ed) Springer-Verlag. 268-275 (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 中村永友,小西貞則: "情報量規準に基づく多変量正規混合分布モデルのコンポーネント数の推定"応用統計学. 27-3. 165-180 (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Konishi,S.: "Statistical model evaluation and information criteria""Multivariate Analysis, Design of Experiments, and Survey Sampling" (Ed.by Subir Ghosh) Marcel Dekker. 369-399 (1999)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Tsuchiya,T.and Konishi,S.(1999): "General saddlepoint approximations to distributions under an elliptical population"Commun.Statist.-Theory Meth.. 28-3,4. 727-754 (1999)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Ichikawa,M.and Konishi,S.: "Model evaluation and information criteria in covariance structure analysis"British Journal of Mathematical and Statistical Psychology. 52. 285-302 (1999)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 小西貞則,北川源四郎: "情報量規準構成の理論と応用-最近の発展-."計測と制御. 38-7. 413-419 (1999)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 北川源四郎,小西貞則: "一般化情報量規準GICとブートストラップ"統計数理. 47-2. 375-394 (1999)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 井元清哉,小西貞則: "情報量規準に基づくB-スプライン非線形回帰モデルの推定"応用統計学. 28-3. 137-150 (1999)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 井元清哉,小西貞則: "B-スプラインによる非線形回帰モデルと情報量規準"統計数理. 47-2. 359-373 (1999)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 小西貞則: "統計的モデリングと情報量規準,"応用数理. 10・3. 14-33 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 小西貞則: "統計的モデリングと情報量規準構成の理論-汎関数に基づくアプローチ-"数学. 52・2. 128-141 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Ichikawa,M.and Konishi,S.: "Asymptotic Expansions and Bootstrap Approximations in Fact〓 Analysis"to appear in Journal of Multivariate Analysis. (2001)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Yanagawa,T.,Kikuchi,Y.and Brown,K.G.: "No-observed-adverse-effect levels in severity data"Journal of American Statistical Association. 92. 449-454 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Ohama,G.and Yanagawa,T.: "Testing stationarity using residuals"Bulletin of Informatics and Cybernetics. 29. 15-39 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Zhang,Z-Z.and Yanagawa,T.: "Obtaining invariant estimators for multiple relative rates from their given pairwise estimators"Bulletin of Informatics and Cybenetics. 30. 69-77 (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Yanagawa,T.: "Methods of controlling the over-estimation of the No-Observed-Adverse-Effect level"Proceedings of the XIXth International Biometric Conference}, Invited Papers. 227-233 (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 柳川堯: "毒性データの解析:無影響量決定問題について"統計数理、. 46-1. 193-203 (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Yanagawa,T.and Sakata,T.: "The q-values for controlling the second kind of errors"Bulletin of the International Statistical Institute. 485-486 (1999)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Jayasekara,L,Nishiyama,H,and Yanagawa,T.: "Versatile tests for non-linear data in 2xk tables"Bulletin of the Informatics and Cybernetics. 31. 179-190 (1999)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Zhang,Z-Z.,Fujii,Y.& Yanagawa,T.: "On Mantel-Haenszel type estimators in simple nested case-control study"Communication in Statistics, Theory and Methods. 29・11. 2507-2521 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Yanagawa,T.,Yonemoto,K.,and Fueda,K.: "Detecting chaos in physiological data"An International Conference on Recent Developments in Statistics and Probability and Their Applications. 530-534 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Z-Z.Zhang and T.Yanagawa: "Generalized Begun-Reid estimators for multiple hazard rates"J of Statistical Planning and Inference,. (印刷中). (2001)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Yanagawa,T.and Kikuchi,Y.: "Statistical issues on the determination of the No-Observed-Adverse-Effect levels in toxicology"Environmetrics,. (印刷中). (2001)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Minamoto,T.and Nakao,M.T.: "Numerical verifications of solutions for nonlinear parabolic equations in one-space dimensional case"Reliable Computing. 3. 137-147 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Tsuchiya,T.and Nakao,M.T.: "Numerical verification of solutions of parametrized nonlinear boundary value problems with turning points"Japan Journal of Industrial and Applied Mathematics. 14. 357-372 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Nakao,M.T.and Yamamoto,N.: "Numerical verification of solutions for nonlinear elliptic problems using $L^{\infty}$ residual method."Journal of Mathematical Analysis and Applications. 217. 246-262 (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Nakao,M.T.,Yamamoto,N.and Kimura,S.: "On best constant in the optimal error stimates for the $H^1_0$-projection into piecewise polynomial spaces."Journal of Approximation Theory. 93. 491-500 (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Nakao,M.T.,Yamamoto,N.and Watanabe,Y.: "Constructive $L^2$ error estimates for finite element solutions of the Stokes equations"Reliable Computing. 4. 115-124 (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Nakao,M.T.,Yamamoto,N.and Watanabe,Y.: "A posteriori and constructive a priori error bounds for finite element solutions of Stokes equations"Journal of Computational and Applied Mathematics. 91. 37-158 (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Ryoo,C-S and Nakao,M.T.: "Numerical verification of solutions for variational inequalities"Numerische Mathematik. 81. 305-320 (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Nakao,M.T.: "Numerical verifications of eigenvalues of second-order elliptic operators"Japan Journal of Industrial and Applied Mathematics. 16. 307-320 (1999)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Nakao,M.T.,Lee,S.H.& Ryoo,C.S.: "Numerical verification of solutions for elasto-plastic torsio problems"Computers & Mathematics with Applications. 39. 195-204 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Minamoto,T.,Yamamoto,N.& Nakao,M.T.: "Numerical verification method for solutions of the perturbed Gelfand equation"Methods and Applications of Analysis. 7. 251-262 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Toyonaga,K.& Nakao,M.T.: "Numerical enclosure for the optimal threshold probability in discounted Markov decision processes"Bulletin of Informatics and Cybernetics. 32. 81-90 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Nakao,M.T.: "Numerical verification methods for solutions of ordinary and partial differential equations"to appear in Numerical Functional Analysis and Optimization. (2001)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 田端正久: "流体問題の有限要素解析-抗力・揚力係数を精度良く求める"数理科学. 417. 13-19 (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 田端正久,鈴木厚: "熱対流問題の数値解法-有限要素法と並列計算"地球. 20. 305-310 (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.-Tabata and K.-Itakura: "A precise computation of drag coefficients of a sphere"The International Journal of Computational Fluid Dynamics. 9. 303-311 (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.-Tabata.: "A convergence property of drag and lift coefficients obtained by surface integral computation"Gakuto International Series, Mathematical Sciences and Applications. 11. 269-275 (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 田端正久,鈴木厚: "3次元球穀内熱対流問題の有限要素解法"地球. 20. 743-747 (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H.-Itoh and M.-Tabata.: "A finite element analysis for a thermal convection problem at infinite {Prandtl} number"Hiroshima Mathematical Journal. 28. 555-570 (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] K.-Itakura and M.-Tabata.: "An error analysis of streaklines as curves"Japan Journal of Industrial and Applied Mathematics. 16. 1-23 (1999)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] A.-Suzuki,M.-Tabata,and S.-Honda.: "Numerical solution of an unsteady {Earth}'s mantle convection problem by a stabilized finite element method"Theoretical and Applied Mechanics. 48. 371-378 (1999)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.-Tabata and D.-Tagami.: "A finite element analysis of a linearized problem of the {Navier〓{Stokes} equations with surface tension"SIAM Journal on Numerical Analysis. 38. 40-57 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Tabata and D.Tagami.: "Error estimates for finite element approximations of drag and lift in nonstationary Navier-Stokes flows"Japan Journal of Industrial and Applied Mathematics. 17. 371-389 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Tabata and A.Suzuki.: "A stabilized finite element method for the Rayleigh-Benard equations with infinite Prandtl number in a spherical shell"Computational Methods in Applied Mechanics and Engineering. 190. 387-402 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Y.Fukumoto.: "Stationary configurations of a vortex filament embedded in background flows"Proc.of the Fourth MSJ International Research Institute on Nonlinear Waves,Mathematical Sciences and Applications. 10. 63-68 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Y.Fukumoto.: "Stationary configurations of a vortex filament in background flows"Proc.Roy.Soc.Lond.A. 53-1961. 1205-1232 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Y.Fukumoto and H.K.Moffatt.: "Motion of a vortex ring in a viscous fluid : Higher-order asymptotics"Proc.of IUTAM Symposium on Dynamics of Slender Vortices, Fluid Mechanics and Applications serise (Kluwer). 44. 21-34 (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Rozi and Y.Fukumoto.: "The response of Hill's vortex to a small three dimensional disturbance in the case of m=5"In Progress in Experimental and Computational Mechanics in Engineering and Material Behaviour (eds.D.Zhu,M. et al.,Northwestern Ploytech.Univ.Press). 346-351 (1999)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 福本康秀: "Biot-Savart則に対するDysonの方法再考"ながれ. 19. 180-185 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Rozi and Y.Fukumoto: "The Most Unstable Perturbation of Wave-Packet Form inside Hill's Vortex"J.Phys.Soc.Japan. 69. 2700-2701 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Y.Fukumoto and H.K.Moffatt: "Motion and expansion of a viscous vortex ring. Part1.A higher order asymptotic formula for the velocity "J.Fluid Mech.. 417. 1-45 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Y.Fukumoto and H.K.Moffatt: "Motion and expansion of a viscous vortex ring : elliptical slowing down and diffusive expansion}"Proc.of Symposium on Turbulence Structure and Vortex Dynamics (eds.J.C.R.Hunt and J.C.Vassilicos,Cambridge University Press. 1-22 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Y.Fukumoto.: "Motion of a curved vortex filament : Higher-order asymptotics "Proc.of IUTAM Symposium on Geometry and Statistics of Turbulence (eds.T.Kambe and T.Nakano,Kluwer). (2001)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Maesono,Y.: "Asymptotic properties of jackknife estimators of third moments"Bulletin of Informatics and Cybernetics. 30. 51-68 (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Maesono,Y.: "Asymptotic comparisons of several variance estimators and their effects for studentizations "Annals of the Institute of Statistical Mathematics. 50. 451-470 (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Maesono,Y.: "An asymptotic representation of a ratio of two statistics and its applications"Communications in Statistics-Theory and Methods. A27-2. 305-327 (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Maesono,Y.: "Mean square errors of variance estimators and their Edgeworth expansions"Journal of the Japan Statistical Society. 28. 1-19 (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Maesono,Y.and Penev,S.I.: "Higher order relations between Cornish-Fisher expansions and inversions of saddlepoint approximations"Journal of the Japan Statistical Society. 28. 21-38 (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 前園宜彦,藤岡由美: "$U$-統計量の正規近似の改良とその比較"66. 87-100 (1999)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Maesono,Y.: "On the normal approximations of a studentized symmetric statistic"Mathematica Japonica. 50. 433-449 (1999)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] P.Hall and Y.Maesono: "A weighted-bootstrap approach to bootstrap iteration"Journal of the Royal Statistical Society B. 62. 137-144 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Maesono,Y.and Fujioka,Y.: "Higher order normalizing transformations for asymptotic U-statistics"Journal of Statistical Planning and Inference. 83. 47-74 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Fueda,K.and Yanagawa,T.: "Estimating the embedding dimension and delay time from chaotic time series with dynamic noise"To appear in Journal of the Japan Statistical Society. (2001)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Tsuchiya, T.and Konishi: "General saddlepoint approximations and normalizing transformations for multivariate statistics"Communications in Statistics-Theory and Method. 26-11. 2541-2563 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Zhao, Y.and Konishi, S.: "Limit distributions of multivariate kurtosis and moments under Watson rotational symmetric distributions"Statistics and Probability Letters. 32. 291-299 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Ichikawa, M.and Konishi, S.: "Bootstrap tests for the goodness of fit in factor analysis"Behaviormetrika. 24. 27-38 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Honda, M.and Konishi, S.: "Resampling methods for error rate estimation in discriminant analysis"Data Science, Classification, and Related Methods C.Hayashi, N.Ohsumi, K.Yajima, Y.Tanaka, H.H.Bock and Y.Baba (Eds.), Springer-Verlag Tokyo. 268-275 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Konishi, S.: "Statistical model evaluation and information criteria""Multivariate Analysis, Design of Experiments, and Survey Sampling" (Ed.by Subir Ghosh), Marcel Dekker. 369-399 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Tsuchiya, T.and Konishi, S.: "(1999). General saddlepoint approximations to distributions under an elliptical population"Commun.Statist. -Theory Meth.. 28 (3 &4). 727-754 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Ichikawa, M.and Konishi, S.: "Model evaluation and information criteria in covariance structure analysis"British Journal of Mathematical and Statistical Psychology. 52. 285-302 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Yanagawa, T., Kikuchi, Y.and Brown, K.G.: "No observed-adverse-effect levels in severity data."Journal of American Statistical Association. 92. 449-454 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Ohama, G.and Yanagawa, T.: "Testing stationarity using residuals"Bulletin of Informatics and Cybernetics. 29. 15-39 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Zhang, Z-Z.and Yanagawa, T: "Obtaining invariant estimators for multiple relative rates from their given pairwise estimators"Bulletin of Informatics and Cybernetics. 30. 69-77 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Yanagawa, T.: "Teaching the Mantel-Haenszel procedures to medical students"Proceedings of the Fifth International Conference on Teaching of Statistics (Editors Lionel Pereira-Mendoza et al.). 1. 295-301 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Yanagawa, T.: "Methods of controlling the overestimation of the No-Observed-Adverse-Effect level"Proceedings of the XIXth International Biometric Conference, Invited Papers. 227-233 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Yanagawa, T.and Sakata, T.: "The q-values for controlling the second kind of errors"Bulletin of the International Statistical Institute. ISI99 3. 485-486 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Jayasekara, L, Nishiyama, H, and Yanagawa, T.: "Versatile tests for non-linear data in 2xk tables"Bulletin of the Informatics and Cybernetics. 31. 179-190 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Zhang, Z-Z., Fujii, Y.and Yanagawa, T.: "On Mantel-Haenszel type estimators in simple nested case-control study"Communication in Statistics, Theory and Methods. 29 (11). 2507-2521 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Yanagawa, T., Fueda, K., and Yonemoto, K.: "Analysis of observed chaotic data by non-linear autoregressive model"Proceedings of the International Symposium on Frontier of Time series Modeling. 252-262 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Yanagawa, T., Yonemoto, K.and Fueda, K.: "Detecting chaos in physiological data, Abstract"An International Conference on Recent Developments in Statistics and Probability and Their Applications. 530-534 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Z-Z.Zhang and T.Yanagawa: "Generalized Begun-Reid estimators for multiple hazard ratesΥ"J of Statistical Planning and Inference. (in press). (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Yanagawa, T.and Kikuchi, Y.: "Statistical issues on the determination of the No-Observed-Adverse-Effect levels in toxicology"Environmetrics. (in press). (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Minamoto, T.and Nakao, M.T.: "Numerical verifications of solutions for nonlinear parabolic equations in one-space dimensional case"Reliable Computing. 3. 137-147 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Tsuchiya, T.and Nakao, M.T.: "Numerical verification of solutions of parametrized nonlinear boundary value problems with turning points."Japan Journal of Industrial and Applied Mathematics. 14. 357-372 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Nakao, M.T.and Yamamoto, N.: "Numerical verification of solutions for nonlinear elliptic problems using L^∞ residual method."Journal of Mathematical Analysis and Applications. 217. 246-262 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Nakao, M.T., Yamamoto, N.and Kimura, S.: "On best constant in the optimal error stimates for the H^1_0-projection into piecewise polynomial spaces."Journal of Approximation Theory. 93. 491-500 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Nakao, M.T., Yamamoto, N.and Watanabe, Y.: "Constructive L^2 error estimates for finite element solutions of the Stokes equations."Reliable Computing. 4. 115-124 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Nakao, M.T., Yamamoto, N.and Watanabe, Y.: "A posteriori and constructive a priori error bounds for finite element solutions of Stokes equations."Journal of Computational and Applied Mathematics. 91. 37-158 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Ryoo, C-S and Nakao, M.T.: "Numerical verification of solutions for variational inequalities."Numerische Mathematik. 81. 305-320 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Nakao, M.T., Yamamoto, N.and Nishimura, Y.: "Numerical verification of the solution curve for some parametrized nonlinear elliptic problems."in the Proceedings of the Third China-Japan Joint Seminar on Numerical Mathematics, August 26-30, 1966, Dalian, China. 238-245 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Nakao, M.T.: "Numerical verifications of eigenvalues of second-order elliptic operators."Japan Journal of Industrial and Applied Mathematics. 16. 307-320 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Yamamoto, N., Nakao, M.T.and Watanabe, Y.: "Validated computation for a linear elliptic problem with a parameter, GAKUTO International Series."Mathematical Sciences and Applications 12, (eds.Kawarada et al.), Advances in Numerical Mathematics ; Proc.Fourth Japan-China Joint Seminar on Numerical Mathematics, Aug.24-28, 1998, Chiba, Japan. 155-162 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Watanabe, Y., Yamamoto, N.& Nakao, M.T.: "Verification method of generalized eigenvalue problems and its applications (in Japanese)."Transaction of the Japan Society for Industrial and Applied Mathematics. 9(3). 137-150 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Nakao, M.T., Lee, S.H.and Ryoo, C.S.: "Numerical verification of solutions for elasto-plastic torsion problems."Computers & Mathematics with Applications. 39. 195-204 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Minamoto, T., Yamamoto, N.and Nakao, M.T.: "Numerical verification method for solutions of the perturbed Gelfand equation."Methods and Applications of Analysis. 7. 251-262 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Toyonaga, K.and Nakao, M.T.: "Numerical enclosure for the optimal threshold probability in discounted Markov decision processes."Bulletin of Informatics and Cybernetics. 32. 81-90 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Nagatou, K.and Nakao, M.T.: "An enclosure method of eigenvalues for the elliptic operator linearlized at an exact solution of nonlinear problems."Linear Algebra and its Applications. (to appear). (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Nakao, M.T., Watanabe, Y.and Yamamoto, N.: "Verified numerical computations for an inverse elliptic eigenvalue problem with finite data."Japan Journal of Industrial and Applied Mathematics.. (to appear). (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Nakao, M.T.and Yamamoto, N.: "A guaranteed bound of the optimal constant in the error estimates for linear triangular element."Computing Supplementum. (to appear). (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Nakao, M.T.: "Numerical verification methods for solutions of ordinary and partial differential equations."Numerical Functional Analysis and Optimization. (to appear). (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Tabata and K.Itakura: "A precise computation of drag coefficients of a sphere."The International Journal of computational Fluid Dynamics. 9. 303-311 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Tabata: "A convergence property of drag and lift coefficients obtained by surface integral computation."Gakuto International Series, Mathematical Sciences and Applications. 11. 269-275 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.Itoh and M.Tabata: "A finite element analysis for a thermal convection problem at infinite Prandtl number."Hiroshima Mathematical Journal. 28. 555-570 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] K.Itakura and M.Tabata: "An error analysis of streaklines as curves."Japan Journal of Industrial and Applied Mathematics. 16. 1-23 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Tabata: "Slip boundary conditions and rigid body movements in finite element analysis. In H.Kawarada, M.Nakamura, and Z.Shi, editors."Advances in Numerical Mathematics ; Proceedings of the Fourth Japan-China Joint Seminar on Numerical Mathematics, Tokyo. Gakkotosho.. 117-124 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] A.Suzuki, M.Tabata, and S.Honda: "Numerical solution of an unsteady Earth's mantle convection problem by a stabilized finite element method."Theoretical and Applied Mechanics. 48. 371-378 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Tabata and D.Tagami: "A finite element analysis of a linearized problem of the Navier-Stokes equations with surface tension."SIAM Journal on Numerical Analysis. 38. 40-57 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Tabata and D.Tagami: "Error estimates for finite element approximations of drag and lift in nonstationary Navier-Stokes flows."Japan Journal of Industrial and Applied Mathematics. 17. 371-389 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Tabata and A.Suzuki: "A stabilized finite element method for the Rayleigh-Benard equations with infinite Prandtl number in a spherical shell."Computational Methods in Applied Mechanics and Engineering. 190. (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Tabata.: "Uniform solvability of finite element solutions in approximate domains."Japan Journal of Industrial and Applied Mathematics. (To appear). (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y.Fukumoto: "Stationary configurations of a vortex filament embedded in background flow."Proc.of the Fourth MSJ International Research Institute on Nonlinear Waves, Mathematical Sciences and Applications. 10. 63-68 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y.Fukumoto: "Stationary configurations of a vortex filament in background flows."Proc.Roy.Soc.Lond.A. Vol.53, No.1961. 1205-1232 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y.Fukumoto and H.K.Moffatt: "(1998). Motion of a vortex ring in a viscous fluid : Higher-order asymptotics."Proc.of IUTAM Symposium on Dynamics of Slender Vortices, Fluid Mechanics and Applications series (Kluwer). 44. 21-344

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Rozi and Y.Fukumoto: "The response of Hill's vortex to a small three dimensional disturbance in the case of m=5."In Progress in Experimental and Computational Mechanics in Engineering and Material Behavior (eds.D.Zhu, M.Kikuchi, Y.Shen and M.Geni, Northwestern Ploytech.Univ.Press). 346-351 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Ruzi, Y.Fukumoto and W.Abula: "Evolution of the surface of Hill's vortex subjected to a small three-dimensional disturbance for the cases of m=4 and 5."In Advances in Computational Engineering & Sciences (eds.S.N.Atluri and F.W.Brust, Tech Science Press). 1014-1019 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Rozi and Y.Fukumoto: "The Most Unstable Perturbation of Wave-Packet Form inside Hill's Vortex."J.Phys.Soc.Japan. 69. 2700-2701 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y.Fukumoto and H.K.Moffatt: "Motion and expansion of a viscous vortex ring. Part 1. A higherorder asymptotic formula for the velocity."J.Fluid Mech.. 417. 1-45 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y.Fukumoto and H.K.Moffatt: "Motion and expansion of a viscous vortex ring : elliptical slowing down and diffusive expansion."Proc.of Symposium on Turbulence Structure and Vortex Dynamics (eds.J.C.R.Hunt and J.C.Vassilicos, Cambridge University Press). 1-22 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y.Fukumoto: "Motion of a curved vortex filament : Higher-order asymptotics."Proc.of IUTAM Symposium on Geometry and Statistics of Turbulence (eds.T.Kambe and T.Nakano, Kluwer). (2001)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Maesono, Y.: "Asymptotic properties of jackknife estimators of third moments."Bulletin of Informatics and Cybernetics. 30. 51-68 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Measono, Y.: "Asymptotic comparisons of several variance estimators and their effects for studentizations."Annals of the Institute of Statistical Mathematics. 50. 451-470 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Maesono, Y.: "An asymptotic representation of a ratio of two statistics and its applications."Communications in Statistics- Theory and Methods. A27, (2). 305-327 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Maesono, Y.: "Mean square errors of variance estimators and their Edgeworth expansions."Journal of the Japan Statistical Society. 28. 1-19 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Maesono, Y.and S.I.Penev: "Higher order relations between Cornish-Fisher expansions and inversions of saddlepoint approximations."Journal of the Japan Statistical Society. 28. 21-38 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Maesono, Y.: "On the normal approximations of a studentized symmetric statistic."Mathematica Japonica. 50. 433-449 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Maesono, Y.: "Asymptotic representation of ratio statistics and its application."The Australian National University, Statistics Research Report.. No.SRR 006-99. (1999)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Maesono, Y.and Fujioka, Y.: "Higher order normalizing transformations for asymptotic U-statistics."Journal of Statistical Planning and Inference. 83. 47-74 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Hall, P.and Maesono, Y.: "A weighted-bootstrap approach to bootstrap iteration."Journal of the Royal Statistical Society ser.. B62, Part1. 137-144 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Fueda, K.and Yanagawa, T.: "Estimating the embedding dimension and delay time from chaotic time series with dynamic noise.."Journal of the Japan Statistical Society. (To appear). (2001)

    • Description
      「研究成果報告書概要(欧文)」より

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Published: 2002-03-26  

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