Evaluation of location estimates based on the Radial distributions generated by positive distributions

• Project/Area Number: 26540014
• Research Category: Grant-in-Aid for Challenging Exploratory Research
• Allocation Type: Multi-year Fund
• Research Field: Statistical science
• Research Institution: Chuo University
• Principal Investigator: Kamakura Toshinari 中央大学, 理工学部, 教授 (40150031)
• Co-Investigator(Kenkyū-buntansha): 小椋 透 三重大学, 医学部附属病院, 講師 (00580060) ; 大草 孝介 九州大学, 芸術工学研究院, 助教 (30636907)
• Co-Investigator(Renkei-kenkyūsha): OKUSA Kosuke 九州大学, 芸術工学研究科, 助教 (30636907)
• Project Period (FY): 2014-04-01 – 2017-03-31
• Project Status: Completed (Fiscal Year 2016)
• Budget Amount: ¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000); Fiscal Year 2016: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000); Fiscal Year 2015: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000); Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
• Keywords: ワイブル分布 / 位置推定 / 回転分布 / 正の分布 / 大数正規分布 / Positive distribution / Weibull distribution / lognormal distribution / location estimation / 周辺分布 / 条件付き分布

Outline of Final Research Achievements

We have developed algorithms for finding the confidence region for specifying the confidence level that trusts the location estimates by constructing the statistical model and estimating its parameters of the position estimation of the person in the room with high precision. It is possible to accurately estimate the location parameter by the rotation distributions from the Weibull distribution and the lognormal distribution which are positive distributions. By using the implicit function theorem, we can calculate the asymptotic distribution of the conditional maximum likelihood estimators for confidence regions of the location.

Research Products

• [Journal Article] A Simulation Study on Performance Validation of Indoor Location Estimation Based on the Radial Positive Distribution (2016)
  • Author(s): Kosuke Okusa and Toshinari Kamakura
  • Journal Title: Transactions on Engineering Technologies: World Congress on Engineering and Computer Science 2015 Volume: 1 Pages: 89-99
  • Peer Reviewed
• [Journal Article] Proposal of a Modulated Extended Cumulative Exposure Model for the Step-Up Voltage Test (2016)
  • Author(s): Sakumura, T. and Kamakura, T.
  • Journal Title: Transactions on Engineering Technologies: World Congress on Engineering and Computer Science 2015 Volume: 2 Pages: 349-363
  • Peer Reviewed
• [Journal Article] Testing for Uniformity of Line Segments (2016)
  • Author(s): Akimoto, Y., Sakumura, T., and Kamakura, T.
  • Journal Title: IAENG International Journal of Computer Science (IJCS) Volume: 43 Pages: 192-197
  • Peer Reviewed
• [Journal Article] 窓打ち切り状況下での交代再生過程のパラメー タの最尤推定 (2016)
  • Author(s): 阿部興, 鎌倉稔成
  • Journal Title: 計算機統計学 Volume: 29 Pages: 133-145
  • NAID: 130005631746
  • Peer Reviewed
• [Journal Article] Improving and extending the McNemar test using the Bayesian method (2016)
  • Author(s): Ogura, T. and Yanagimoto, T.
  • Journal Title: Statistics in Medicine Volume: 35 Issue: 14 Pages: 2455-2466
  • DOI: 10.1002/sim.6875
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Powerful test of two proportions by assuming a registered prior density (2016)
  • Author(s): Ogura, T. and Yanagimoto, T.
  • Journal Title: Communications in Statistics - Simulation and Computation Volume: 45 Issue: 6 Pages: 1936-1949
  • DOI: 10.1080/03610918.2014.882949
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Combination of Urinary Sodium/Creatinine Ratio and Plasma Brain Natriuretic Peptide Level Predicts Successful Tolvaptan Therapy in Patients With Heart Failure and Volume Overload (2016)
  • Author(s): Sato, Y., Dohi, K., Watanabe, K., Tanimura, M., Takeuchi, T., Sugiura, E., Sugimoto, T., Kumagai, N., Ogura, T., Nakamori, S., Fujimoto, N., Yamada, N., Ito, M.
  • Journal Title: International Heart Journal Volume: 57 Issue: 2 Pages: 211-219
  • DOI: 10.1536/ihj.15-330
  • NAID: 130005139757
  • ISSN: 1349-2365, 1349-3299
  • Peer Reviewed
• [Journal Article] Chronic Inflammatory Disease Is an Independent Risk Factor for Coronary Flow Velocity Reserve Impairment Unrelated to the Processes of Coronary Artery Calcium Deposition (2016)
  • Author(s): Kakuta, K., Dohi, K., Sato, Y., Yamanaka, T., Kawamura, M., Ogura, T., Nakamori, S., Fujimoto, N., Fujii, E., Yamada, N., Ito, M.
  • Journal Title: Journal of the American Society of Echocardiography Volume: 29 Issue: 2 Pages: 173-180
  • DOI: 10.1016/j.echo.2015.09.001
  • Peer Reviewed
• [Journal Article] Indoor Location Estimation based on the RSS method using Radial Log-normal Distribution (2015)
  • Author(s): Okusa, K. and T. Kamakura
  • Journal Title: International Symposium on Computational Intelligence and Informatics Volume: 1 Pages: 29-34
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Modulated Extended Cumulative Exposure Model with Application to the Step-Up Voltage Test (2015)
  • Author(s): T. Sakumura and T. Kamakura
  • Journal Title: WCECS 2015 Volume: 1 Pages: 255-260
  • Peer Reviewed / Open Access
• [Journal Article] Directional Data Analysis for Line Segments (2015)
  • Author(s): Akimoto, Y., T. Sakumura and T. Kamakura
  • Journal Title: Proceedings of World Congress on Engineering and Computer Science 2015 Volume: 2 Pages: 770-775
  • Peer Reviewed / Open Access
• [Journal Article] Property of LM Tests for reliability distributions in case of small samples (2015)
  • Author(s): Kamakura, T. and T. Sakumura
  • Journal Title: Proceedings of the International Workshop on Applied Methods of Statistical Analysis. Nonparametric Approach Volume: 1 Pages: 200-207
  • Peer Reviewed / Open Access
• [Journal Article] Statistical Problems on Estimating for Heat Seal Parameters (2015)
  • Author(s): Inomata T. and Kamakura, T.
  • Journal Title: Newswood and International Association of Engineers Volume: 2216 Pages: 871-876
  • Peer Reviewed
• [Journal Article] Likelihood-based Inference for Weibull Distribution (2015)
  • Author(s): Kamakura, T. and T. Sakumura
  • Journal Title: MMR 2015 Volume: 1 Pages: 855-862
  • Peer Reviewed
• [Journal Article] The Statistical Models for Estimating Heat Seal Parameters in the Bag-making Machine (2015)
  • Author(s): Inomata, T. and Kamakura, T.
  • Journal Title: Engineering Letters Volume: 23 Pages: 326-332
  • Peer Reviewed / Open Access
• [Journal Article] Statistical Problems on Estimating for Heat Seal Parameters (2015)
  • Author(s): Takashi Inomata, and Toshinari Kamakura
  • Journal Title: Proceedings of The International MultiConference of Engineers and Computer Scientists 2015,The 2015 IAENG International Conference on Industrial Engineering Volume: 1 Pages: 871-876
  • Peer Reviewed / Open Access
• [Journal Article] ランダムなエントリー時間を持つ生存関数の推定 (2014)
  • Author(s): 阿部興，鎌倉稔成
  • Journal Title: 日本計算機統計学会第28回大会論文集,日本計算機統計学会 Volume: 1 Pages: 23-26
• [Journal Article] A study on gait parameter estimation stability for the frontal view gait video data based on simulation (2014)
  • Author(s): Kosuke Okusa and Toshinari Kamakura
  • Journal Title: IAENG Transactions on Engineering Sciences -Ao, Chan, Katagiri & Xu (Eds),CRC Press Volume: 1 Pages: 421-428
  • DOI: 10.1201/b16763-46
  • ISBN: 9780429227202
  • Peer Reviewed / Open Access
• [Journal Article] Approximate testing for logistic regression parameters (2014)
  • Author(s): Toshinari Kamakura
  • Journal Title: XXVII International Biometric Conference,The Italian Region of the International Biometric Society Volume: 1 Pages: 54-54
• [Journal Article] Statistical registration of frontal view gait silhouette with application to gait analysis (2014)
  • Author(s): Kosuke Okusa and Toshinari Kamakura
  • Journal Title: Proceedings of COMPSTAT 2014,The 21st International Conference on Computational Statistics Volume: 1 Pages: 411-418
  • Peer Reviewed / Open Access
• [Journal Article] A consistent method of estimation for the parameters of the three-parameter gamma distribution (2014)
  • Author(s): Hideki Nagatsuka, N. Balakrishnan and Toshinari Kamakura
  • Journal Title: Communications in Statistics - Theory and Methods Volume: 83 Pages: 3905-3926
  • Peer Reviewed / Open Access
• [Journal Article] <b>MODIFIED NON-OVERLAPPING TEMPLATE MATCHING </b><b>TEST AND PROPOSAL ON SETTING TEMPLATE </b> (2014)
  • Author(s): Takeda, Y., Huzii, M., Watanabe, N. and Kamakura, T.
  • Journal Title: Journal of the Japanese Society of Computational Statistics Volume: 27 Issue: 1 Pages: 49-60
  • DOI: 10.5183/jjscs.1311001_208
  • NAID: 130004842783
  • ISSN: 0915-2350, 1881-1337
  • Peer Reviewed / Open Access
• [Journal Article] A rank test based on the moments of order statistics of the modified Makeham distribution (2014)
  • Author(s): Ogura, T. and Murakami, H
  • Journal Title: Computational Statistics Volume: 29 Issue: 6 Pages: 1691-1711
  • DOI: 10.1007/s00180-014-0513-2
  • Peer Reviewed / Open Access
• [Journal Article] 振動を伴う状態変化過程のデータを用いた安定状態の推定 (2014)
  • Author(s): 猪俣考史，鎌倉稔成，後藤順哉
  • Journal Title: 応用統計学 Volume: 43 Pages: 45-57
  • NAID: 130005069595
  • Peer Reviewed / Open Access
• [Presentation] 一次元線分過程の統計的性質 (2017)
  • Author(s): 阿部興, 鎌倉稔成
  • Organizer: 第 16 回西東京統計研究会
  • Place of Presentation: 専修大学生田キャンパス
• [Presentation] 土砂被害領域の楕円推定とその面積分布の比較 (2017)
  • Author(s): 作村建紀，鎌倉稔成
  • Organizer: 第 16 回西東京統計研究会
  • Place of Presentation: 専修大学生田キャンパス
• [Presentation] 活断層における線分の角度データの解析法 (2017)
  • Author(s): 秋元良友，神谷勇太，鎌倉稔成
  • Organizer: 第 16 回西東京統計研究会
  • Place of Presentation: 専修大学生田キャンパス
• [Presentation] 楕円推定と土砂災害へのべき乗則モデルの適用に関する研究 (2016)
  • Author(s): 作村建紀，鎌倉稔成
  • Organizer: 日本計算機統計学会第30回シンポジウム
  • Place of Presentation: 沼津
  • Year and Date: 2016-11-24
• [Presentation] 生体認証機器の統計的評価に関する研究 (2016)
  • Author(s): 永井利昌，鎌倉稔成
  • Organizer: 日本計算機統計学会第30回シンポジウム
  • Place of Presentation: 沼津
  • Year and Date: 2016-11-24
• [Presentation] Statistical models for demand forecasting based on the big data of sales records (2016)
  • Author(s): Kamakura, T.
  • Organizer: Conference on Information Management 2016
  • Place of Presentation: Hanoi, Vietnam
  • Year and Date: 2016-10-20
  • Int'l Joint Research
• [Presentation] ビッグデータ時代における統計学の役割 (2016)
  • Author(s): 鎌倉稔成
  • Organizer: 2016年度統計関連学会連合大会
  • Place of Presentation: 金沢大学
  • Year and Date: 2016-09-04
  • Invited
• [Presentation] 二項確率のロジット変換値における信用区間の構成とその適用例 (2016)
  • Author(s): 小椋透, 柳本武美
  • Organizer: 2016年度統計関連学会連合大会
  • Place of Presentation: 金沢大学
  • Year and Date: 2016-09-04
• [Presentation] Combining Evidences from Multiple Binary matched-Pairs Data using a Bayesian Approach (2016)
  • Author(s): Ogura, T. and Yanagimoto, T.
  • Organizer: 37th Annual Conference of the international society of clinical biostatistics
  • Place of Presentation: Vigo, Spain
  • Year and Date: 2016-07-09
  • Int'l Joint Research
• [Presentation] 線分の角度データにおけるクラスタリング法について (2016)
  • Author(s): 秋元良友，鎌倉稔成
  • Organizer: 日本計算機統計学会第30回大会
  • Place of Presentation: 京都
  • Year and Date: 2016-05-19
• [Presentation] 交替再生過程を用いた再発事象のモデリング (2016)
  • Author(s): 阿部興，鎌倉稔成
  • Organizer: 第15回西東京統計研究会
  • Place of Presentation: 田町
  • Year and Date: 2016-03-09
• [Presentation] 2次元非定常ポアソン過程とPoincare Coneを用いた津波の強度推定 (2016)
  • Author(s): 永井利昌，鎌倉稔成
  • Organizer: 第15回西東京統計研究会
  • Place of Presentation: 田町
  • Year and Date: 2016-03-09
• [Presentation] フォルマント分析を用いた歩行識別 (2016)
  • Author(s): 泉谷聡史，作村建紀，鎌倉稔成
  • Organizer: 第15回西東京統計研究会
  • Place of Presentation: 田町
  • Year and Date: 2016-03-09
• [Presentation] Indoor location estimation based on biased ToA data (2016)
  • Author(s): Yoshida, A. and T. Kamakura
  • Organizer: 第15回西東京統計研究会
  • Place of Presentation: 田町
  • Year and Date: 2016-03-09
• [Presentation] 線分の角度データのクラスタリング (2016)
  • Author(s): 秋元良友，鎌倉稔成
  • Organizer: 第15回西東京統計研究会
  • Place of Presentation: 田町
  • Year and Date: 2016-03-09
• [Presentation] ワイブル分布のパラメータ推測における検定統計量の小標本の振る舞いについて (2016)
  • Author(s): 作村建紀，鎌倉稔成
  • Organizer: 第15回西東京統計研究会
  • Place of Presentation: 田町
  • Year and Date: 2016-03-09
• [Presentation] Approximate estimates of distribution parameters from incomplete data of line segments in the field of bounded spatial regions (2015)
  • Author(s): Toshinari Kamakura
  • Organizer: Universiti Kebangsaan Malaysia
  • Place of Presentation: Jalan Reko, Malaysia
  • Year and Date: 2015-03-26 – 2015-03-28
  • Invited
• [Presentation] Directional analysis of Japanese active faults (2015)
  • Author(s): Akimoto, Y. and Kamakura, T.
  • Organizer: Universiti Kebangsaan Malaysia
  • Place of Presentation: Jalan Reko, Malaysia
  • Year and Date: 2015-03-26 – 2015-03-28
  • Invited
• [Presentation] Statistical ellipse fitting for selecting characteristics of disaster areas (2015)
  • Author(s): Sakumura,T. and Kamakura, T.
  • Organizer: Universiti Kebangsaan Malaysia
  • Place of Presentation: Jalan Reko, Malaysia
  • Year and Date: 2015-03-26 – 2015-03-28
• [Presentation] Frontal view gait analysis using weighted center of gait silhouette based on the scale registration (2014)
  • Author(s): Isaka, W., Okusa, K., & Kamakura, T.
  • Organizer: Book of abstracts CFE-ERCIM 2014,The 7th International Conference of the ERCIM WG on Computational and Methodological
  • Place of Presentation: Pisa, Italy
  • Year and Date: 2014-12-05 – 2014-12-08
• [Presentation] Variable selection problems on logistic regression for microarray data (2014)
  • Author(s): Hoshino, R. and Kamakura, T.
  • Organizer: Kyoto International Conference on Modern Statistics in the 21st Century,Kyoto International Conference on Modern Statistics in the 21st Century Committee
  • Place of Presentation: Kyoto, Japan
  • Year and Date: 2014-11-17 – 2014-11-18
• [Book] 理工系のための統計入門 (2016)
  • Author(s): 景山三平監修，鎌倉稔成，神保雅一，武田裕一著
  • Total Pages: 198
  • Publisher: 実教出版
• [Book] 統計学ガイダンス (2014)
  • Author(s): 日本統計学会（鎌倉稔成理事長），数学セミナー編集部
  • Total Pages: 140
  • Publisher: 日本評論社