Statistical inference for pooled incomplete data, combined data and its related topics included in additive parameter models

• Project/Area Number: 20500261
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Statistical science
• Research Institution: Kanto Gakuin University
• Principal Investigator: FUNO Eiichiro Kanto Gakuin University, 経済学部, 教授 (90229104)
• Project Period (FY): 2008 – 2010
• Project Status: Completed (Fiscal Year 2010)
• Budget Amount: ¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000); Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000); Fiscal Year 2009: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000); Fiscal Year 2008: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
• Keywords: 離散データ解析 / Pooling incomplete samples / 準対称性 / Bradley-Terryモデル / pooling incomplete sample / 統計的推論 / 最尤推定量 / 欠測データ / 合併データ

Research Abstract

Asano (1965) considered the estimation problem that observations from multinomial distribution are combined or pooled. In our research, we found what conditions are necessary when we can obtain similar results of Asano's in multivariate discrete distributions in general. Many miscellaneous results are also obtained in this problem and in several related topics.

Research Products

• [Journal Article] On estimating multivariate discrete probabilities by pooled incomplete samples (2011)
  • Author(s): Eiichiro Funo
  • Journal Title: 経済系(関東学院大学経済学会研究誌) vol.247 Pages: 1-18
  • NAID: 120006025259
  • Peer Reviewed
• [Journal Article] Maximum likelihood estimation for the Bradley-Terry model based on Lehmann among three player competitions when some teams are combined (2011)
  • Author(s): Eiichiro Funo
  • Journal Title: 経済系 vol.246 Pages: 155-166
  • NAID: 120006025231
  • Peer Reviewed
• [Journal Article] Maximum likelihood estimation for the Bradley-Terry model based on Lehmann among three player competitions when some teams are combined (2011)
  • Author(s): Eiichiro Funo
  • Journal Title: 経済系:関東学院大学経済学会研究論集 Volume: 246 Pages: 155-166
  • NAID: 120006025231
  • Peer Reviewed
• [Journal Article] Maximum likelihood estimation for the Bradley-Terry model when some teams are combined or restructured (2010)
  • Author(s): Eiichiro Funo
  • Journal Title: 経済系 vol.245 Pages: 100-118
  • NAID: 120006024640
  • Peer Reviewed
• [Journal Article] Maximum likelihood estimation for the Bradley-Terry model based on Lehmann more than two player competitions and related problem (2010)
  • Author(s): Eiichiro Funo
  • Journal Title: 経済系 vol.244 Pages: 1-15
  • NAID: 120006024822
  • Peer Reviewed
• [Journal Article] Some properties of the modified Bradley-Terry models in three or more player competition (2010)
  • Author(s): Eiichiro Funo
  • Journal Title: 経済系 vol.243 Pages: 1-13
  • NAID: 120006024894
  • Peer Reviewed
• [Journal Article] Some properties of the Bradley-Terry model in three or more player competition (2010)
  • Author(s): Eiichiro Funo
  • Journal Title: 経済系 vol.242 Pages: 62-75
  • NAID: 120006025054
  • Peer Reviewed
• [Journal Article] Some properties of the modified Bradley-Terry models in three or more player competition (2010)
  • Author(s): Eiichiro Funo
  • Journal Title: 経済系:関東学院大学経済学会研究論集 Volume: 243 Pages: 1-13
  • NAID: 120006024894
  • Peer Reviewed
• [Journal Article] Maximum likelihood estimation for the Bradley-Terry model based on Lehmann more than two player competitions and related problem (2010)
  • Author(s): Eiichiro Funo
  • Journal Title: 経済系:関東学院大学経済学会研究論集 Volume: 244 Pages: 1-15
  • NAID: 120006024822
  • Peer Reviewed
• [Journal Article] Maximum likelihood estimation for the Bradley-Terry model when some teams are combined or restructured (2010)
  • Author(s): Eiichiro Funo
  • Journal Title: 経済系:関東学院大学経済学会研究論集 Volume: 245 Pages: 100-118
  • NAID: 120006024640
  • Peer Reviewed
• [Journal Article] Some properties of the Bradley-Terry model in three or more player competition (2010)
  • Author(s): Eiichiro Funo
  • Journal Title: 経済系:関東学院大学経済学会研究論集 242 Pages: 62-75
  • NAID: 120006025054
  • Peer Reviewed
• [Journal Article] Characterization of the Bradley-Terry model in three or more player competition (2009)
  • Author(s): Eiichiro Funo
  • Journal Title: 経済系 vol.241 Pages: 1-15
  • NAID: 120006024609
  • Peer Reviewed
• [Journal Article] Maximum likelihood estimation in the Bradley-Terry model for three player competition (2009)
  • Author(s): Eiichiro Funo
  • Journal Title: 経済系 vol.240 Pages: 1-10
  • NAID: 120006024810
  • Peer Reviewed
• [Journal Article] Relationship between three-dimensional quasi-symmetric contingency table and the Bradley-Terry model for three-players' competition (2009)
  • Author(s): Eiichiro Funo
  • Journal Title: 経済系 vol.239 Pages: 8-13
  • NAID: 120006025036
  • Peer Reviewed
• [Journal Article] Maximum likelihood estimation for four-dimensional contingency tables under quasi-symmetry and modified quasi-symmetry (2009)
  • Author(s): Eiichiro Funo
  • Journal Title: 経済系 vol.238 Pages: 78-95
  • NAID: 120006024865
  • Peer Reviewed
• [Journal Article] Relationship between three-dimensional quasi-symmetric contingency table and the Bradley-Terry model for three-players' competition (2009)
  • Author(s): Eiichiro Funo
  • Journal Title: 経済系 : 関東学院大学経済学会研究論集 239 Pages: 8-13
  • NAID: 120006025036
  • Peer Reviewed
• [Journal Article] Maximum likelihood estimation in the Bradley-Terry model for three player competition (2009)
  • Author(s): Eiichiro Funo
  • Journal Title: 経済系 : 関東学院大学経済学会研究論集 240 Pages: 1-10
  • NAID: 120006024810
  • Peer Reviewed
• [Journal Article] Characterization of the Bradley-Terry model in three or more player competition (2009)
  • Author(s): Eiichiro Funo
  • Journal Title: 経済系:関東学院大学経済学会研究論集 241 Pages: 1-15
  • NAID: 120006024609
  • Peer Reviewed
• [Journal Article] Relationship between three-dimensional quasi-symmetric contingency table and the Bradley-Terry model for three-players' competition (2009)
  • Author(s): Eiichiro Funo
  • Journal Title: 経済系(関東学院大学経済学会研究誌) 239 Pages: 8-13
  • NAID: 120006025036
  • Peer Reviewed
• [Presentation] On Extending the Bradley-Terry Model to more than Two-Player Competitions (2010)
  • Author(s): 布能英一郎
  • Organizer: The 10th Japan-China symposium on statistics
  • Place of Presentation: 成都,中国
  • Year and Date: 2010-10-17
• [Presentation] On Extending the Bradley-Terry Model to more than Two-Player Competitions (2010)
  • Author(s): 布能英一郎
  • Organizer: 第10回中国日本統計シンポジウム
  • Place of Presentation: 西南財経大学(四川省成都,中国)
  • Year and Date: 2010-10-17
• [Presentation] Pooling incomplete samplesの下での統計的推測 (2010)
  • Author(s): 布能英一郎
  • Organizer: 2010年日本数学会
  • Place of Presentation: 名古屋大学
  • Year and Date: 2010-09-25
• [Presentation] Pooling incomplete samplesの下での統計的推測 (2010)
  • Author(s): 布能英一郎
  • Organizer: 日本数学会2010秋季総合分科会(統計数学分科会)
  • Place of Presentation: 名古屋大学(名古屋市)
  • Year and Date: 2010-09-25
• [Presentation] Bradley-Terryモデルおよびその関連モデルの諸性質について (2010)
  • Author(s): 布能英一郎
  • Organizer: 統計関連学会連合大会
  • Place of Presentation: 早稲田大学早稲田キャンパス
  • Year and Date: 2010-09-08
• [Presentation] Bradley-Terryモデルおよびその関連モデルの諸性質について (2010)
  • Author(s): 布能英一郎
  • Organizer: 2010年度統計関連学会連合大会
  • Place of Presentation: 早稲田大学早稲田キャンパス(東京都)
  • Year and Date: 2010-09-08
• [Presentation] 3次元以上の正方分割表における準対称性と、その拡張 (2009)
  • Author(s): 布能英一郎
  • Organizer: 日本数学会
  • Place of Presentation: 大阪大学
  • Year and Date: 2009-09-27
• [Presentation] 3次元以上の正方分割表における準対称性と、その拡張 (2009)
  • Author(s): 布能英一郎
  • Organizer: 日本数学会2009年度秋季総合分科会(統計数学分科会)
  • Place of Presentation: 大阪大学豊中キャンパス(大阪府)
  • Year and Date: 2009-09-27
• [Presentation] Relationship between three-dimensional quasi-symmetric contingency table and the Bradley-Terry model for three player competition (2009)
  • Author(s): 布能英一郎
  • Organizer: 統計関連学会連合大会
  • Place of Presentation: 同志社大学
  • Year and Date: 2009-09-07
• [Presentation] Relationship between three-dimensional quasi-symmetric contingency table and the Bradley-Terry model for three player competition (2009)
  • Author(s): 布能英一郎
  • Organizer: 2009年度統計関連学会連合大会(日本統計学会年会および他学会との連合大会)
  • Place of Presentation: 同志社大学京田辺キャンパス(京都府)
  • Year and Date: 2009-09-07
• [Presentation] Relationship between three-dimensional quasi-symmetric contingency table and the Bradley-Terry model for three-players' competition (2009)
  • Author(s): 布能英一郎
  • Organizer: 応用統計学会
  • Place of Presentation: 統計数理研究所
  • Year and Date: 2009-08-01
• [Presentation] Relationship between three-dimensional quasi-symmetric contingency table and the Bradley-Terry model for three-players' competition (2009)
  • Author(s): 布能英一郎
  • Organizer: 応用統計学会2009年度年会
  • Place of Presentation: 統計数理研究所講堂(東京都)
  • Year and Date: 2009-08-01