Establishment of a inference methodology for nor-regular distributions with threshold

• Project/Area Number: 24710170
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Multi-year Fund
• Research Field: Social systems engineering/Safety system
• Research Institution: Chuo University (2013-2014); Tokyo Metropolitan University (2012)
• Principal Investigator: NAGATSUKA Hideki 中央大学, 理工学部, 准教授 (30384738)
• Project Period (FY): 2012-04-01 – 2015-03-31
• Project Status: Completed (Fiscal Year 2014)
• Budget Amount: ¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000); Fiscal Year 2014: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000); Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000); Fiscal Year 2012: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
• Keywords: 非正則分布 / 信頼性工学 / 品質管理 / 寿命分布 / 尤度比 / 漸近分布 / 統計的推測理論 / 区間推定 / 尤度比検定 / 国際情報交換・カナダ / 統計学

Outline of Final Research Achievements

The methods of inference for life time distributions with threshold parameter in which the non-regularity problems has been avoided has been established. The methods has been extended for the cases when the data are censored.

Research Products

• [Journal Article] An Efficient Method of Parameter and Quantile Estimation for the Three-parameter Weibull Distribution Based on Statistics Invariant to Unknown Location Parameter (2015)
  • Author(s): Hideki Nagatsuka and N. Balakrishnan
  • Journal Title: Communications in Statistics - Simulation and Computation Volume: 44 Issue: 2 Pages: 295-318
  • DOI: 10.1080/03610918.2013.775297
  • Peer Reviewed
• [Journal Article] Consistent estimation of parameters and quantiles of the three-parameter gamma distribution based on Type-II right censored data (2014)
  • Author(s): Hideki Nagatsuka and N. Balakrishnan
  • Journal Title: Journal of Statistical Computation and Simulation Volume: - Issue: 12 Pages: 2406-2424
  • DOI: 10.1080/00949655.2014.930861
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] A Method for Estimating Parameters and Quantiles of the Three-parameter Inverse Gaussian Distribution Based on Statistics Invariant to Unknown Location (2014)
  • Author(s): Hideki Nagatsuka and N. Balakrishnan
  • Journal Title: Journal of Statistical Computation and Simulation Volume: 84 Issue: 11 Pages: 2361-2377
  • DOI: 10.1080/00949655.2013.795564
  • Peer Reviewed
• [Journal Article] A Consistent Method of Estimation for the Three-parameter Gamma Distribution (2014)
  • Author(s): Hideki Nagatsuka, N. Balakrishnan and Toshinari Kamakura
  • Journal Title: Communications in Statistics - Theory and Methods Volume: 43 Issue: 18 Pages: 3905-3926
  • DOI: 10.1080/03610926.2012.714035
  • Peer Reviewed
• [Journal Article] Comments: EM-based likelihood inference for some lifetime distributions based on left truncated and right censored data and associated model discrimination by N. Balakrishnan and Debanjan Mitra (2014)
  • Author(s): Hideki Nagatsuka
  • Journal Title: South African Statistical Journal Volume: 48 Pages: 173-175
  • Peer Reviewed
• [Journal Article] A consistent method of estimation for the three-parameter Weibull distribution (2013)
  • Author(s): Hideki Nagatsuka, Toshinari Kamakura and N.Balakrishnan
  • Journal Title: Computational Statistics and Data Analysis Volume: 58 Pages: 210-226
  • DOI: 10.1016/j.csda.2012.09.005
  • Peer Reviewed
• [Journal Article] The exact finite-sample distribution of the median absolute deviation about the median of continuous random variables (2013)
  • Author(s): Hideki Nagatsuka, Hiroshi Kawakami, Toshinari Kamakura, Hisashi Yamamoto
  • Journal Title: Statistics & Probability Letters Volume: 83 Issue: 4 Pages: 999-1005
  • DOI: 10.1016/j.spl.2012.12.023
  • Peer Reviewed
• [Journal Article] 閾値を有する非正則分布の統計的推測理論に関する研究 (2013)
  • Author(s): 長塚豪己
  • Journal Title: 品質 Volume: 43 Pages: 61-63
  • NAID: 110009578931
• [Journal Article] A consistent method of estimation for the parameters of the three-parameter inverse Gaussian distribution (2012)
  • Author(s): Hideki Nagatsuka and N.Balakrishnan
  • Journal Title: Journal of Statistical Computation and Simulation Volume: 印刷中 Issue: 10 Pages: 1915-1931
  • DOI: 10.1080/00949655.2012.674130
  • Peer Reviewed
• [Journal Article] Parameter and quantile estimation for the three-parameter lognormal distribution based on statistics invariant to unknown location (2012)
  • Author(s): Hideki Nagatsuka and N. Balakrishnan
  • Journal Title: Journal of Statistical Computation and Simulation Volume: Vol.43 Issue: 9 Pages: 1629-1647
  • DOI: 10.1080/00949655.2012.667410
  • Peer Reviewed
• [Journal Article] Parameter estimation of multivariate distributions under order restrictions of the parameters: An extension of isotonic regression (2012)
  • Author(s): Hideki Nagatsuka, Megumi Uchino and Hisashi Yamamoto
  • Journal Title: Quality Technology and Quantitative Management Volume: 9 Pages: 283-293
  • Peer Reviewed
• [Presentation] A likelihood-based inference for a family of nonregular distributions (2014)
  • Author(s): Hideki Nagatsuka
  • Organizer: Pacific Rim Statistics Conference on Production Engineering
  • Place of Presentation: Fudan University
  • Year and Date: 2014-12-12 – 2014-12-13
  • Invited
• [Presentation] ロバストな側面を持つ統計量を用いた外れ値の検定に関する一考察 (2014)
  • Author(s): 横山真弘, 長塚豪己
  • Organizer: 日本信頼性学会第27回秋季信頼性シンポジウム
  • Place of Presentation: 日本科学技術連盟 千駄ヶ谷本部ビル
  • Year and Date: 2014-11-19
• [Presentation] あるロバスト統計量とその外れ値の検定への応用に関する一考察 (2014)
  • Author(s): 横山真弘, 長塚豪己
  • Organizer: 2014年度統計関連学会連合大会
  • Place of Presentation: 東京大学本郷キャンパス
  • Year and Date: 2014-09-14 – 2014-09-16
• [Presentation] 一般化パレート分布の推定 (2014)
  • Author(s): 長塚豪己
  • Organizer: 第13回西東京統計研究会
  • Place of Presentation: 中央大学後楽園キャンパス
• [Presentation] A study of estimation for the parameters of the lifetime distributions with unknown location parameter based on type-II censored data using order statistics (2012)
  • Author(s): Hideki Nagatsuka and N. Balakrishnan
  • Organizer: The 5th Asia-Pacific International Symposium on Advanced Reliability and Maintenance Modeling
  • Place of Presentation: Nanjing, China
• [Presentation] On estimation for the parameters of the Generalized Pareto Distribution (2012)
  • Author(s): Hideki Nagatsuka and N. Balakrishnan
  • Organizer: The 5th Asia-Pacific International Symposium on Advanced Reliability and Maintenance Modeling
  • Place of Presentation: Nanjing, China
• [Presentation] A study of parameter estimation for the three-parameter Weibull distribution based on type-II censored data using order statistics (2012)
  • Author(s): Hideki Nagatsuka and N. Balakrishnan
  • Organizer: The 10th International Conference on Ordered Statistical Data and Its Applications
  • Place of Presentation: Murcia, Spain
• [Book] 新版 信頼性ハンドブック ( 第Ⅳ部第2章2.2節、付録-6 6.1) (2014)
  • Author(s): 長塚豪己
  • Total Pages: 8
  • Publisher: 日科技連出版社
• [Remarks] 中央大学研究者 情報データベース
  • URL: https://ir.c.chuo-u.ac.jp/researcher/profile/00010486.html
• [Remarks] Researchmap
  • URL: http://researchmap.jp/read0140964/
• [Remarks] 個人ページ
  • URL: https://sites.google.com/site/hidekinagatsuka7/
• [Remarks] 中央大学 研究者情報データベース
  • URL: https://ir.c.chuo-u.ac.jp/researcher/profile/00010486.html
• [Remarks] 個人ページ
  • URL: https://sites.google.com/site/hidekinagatsuka7/