Contributions on Theory of Mathematical Statistics

Professor Emeritus, The University of Tokyo

• Part I Statistical Prediction.- 1 Theory of Statistical Prediction.- Part II Unbiased Estimation.- 2 Unbiased Estimation in Case of the Class of Distributions of Finite Rank.- 3 Some Theorems on Invariant Estimators of Location.- Part III Robust Estimation.- 4 Robust Estimation and Robust Parameter.- 5 Robust Estimation of Location in the Case of Measurement of Physical Quantity.- 6 A Uniformly Asymptotically Efficient Estimator of a Location Parameter.- Part IV Randomization.- 7 Theory of Randomized Designs.- 8 Some Remarks on General Theory for Unbiased Estimation of a Real Parameter of a Finite Population.- Part V Tests of Normality.- 9 The Studentized Empirical Characteristic Function and Its Application to Test for the Shape of Distribution.- 10 Tests of Univariate Normality.- 11 The Tests for Multivariate Normality.- Part VI Model Selection.- 12 On the Problem of Model Selection Based on the Data.-Part VII Asymptotic Approximation.- 13 On Sum of 0-1 Random Variables (I. Univariate Case).- 14 On Sum of 0-1 Random Variables (II. Multivariate Case).- 15 Algebraic Properties and Validity of Univariate and Multivariate Cornish-Fisher Expansion.