Open House, ISM in Tachikawa, 2016.6.17統計数理研究所オープンハウス（立川）、H28.6.17ポスター発

Shinto Eguchi

江口 真透

English

RISM (Repository of the Institute of Statistical Mathematics) / 統計数理研究所 学術研究リポジトリ

2016年6月17日 統計数理研究所 オープンハウスA Reconsideration of Mathematical Statistics江口 真透 数理推論研究系Abstract Standard mathematical Statistics is based on the assumption of random sample.However, the assumption of random sample is away from practical problems.Under the assumption  the mathematical statistics is  formulated such asmean, variance, exponential model, unbiasedness, sufficiency. Currently the framework of mathematical statistics is not useful for researchers,For this we need to change the definition of mean, variance, exponential model.which should be reformulated  towards the current interests in statistics. Sample mean, exponential model, maximum likelihoodStandard information geometryMaximum - estimationSelective sample, IPW estimateFisher (1912, 1922), Wilks (1938), Cramer (1945),  Cox-Hinkley (1979),(Amari-Nagaoka, 2001)Cf. Horovitz-Thompson (1952), Heckman (1979), Rubin (1976), Rosenbaum-Rubin (1983) , Bang-Robins (2004) Inverse probability weighted estimator ConsistencyGeneralized Information geometry-utility function Maximum -estimator(Max - estimator =  Inverse probability weighted estimator )

A Reconsideration of Mathematical Statistics

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A Reconsideration of Mathematical Statistics

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RISM (Repository of the Institute of Statistical Mathematics) / 統計数理研究所学術研究リポジトリ

A Reconsideration of Mathematical Statistics

Abstract

Similar works

Full text

Available Versions

RISM (Repository of the Institute of Statistical Mathematics) / 統計数理研究所 学術研究リポジトリ

RISM (Repository of the Institute of Statistical Mathematics) / 統計数理研究所学術研究リポジトリ