Contributions on Theory of Mathematical Statistics

Inbunden, Engelska, 2020

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Beskrivning

This volume is a reorganized edition of Kei Takeuchi’s works on various problems in mathematical statistics based on papers and monographs written since the 1960s on several topics in mathematical statistics and published in various journals in English and in Japanese.

Produktinformation

Utgivningsdatum:2020-01-22
Mått:155 x 235 x 30 mm
Vikt:834 g
Format:Inbunden
Språk:Engelska
Antal sidor:435
Förlag:Springer Verlag, Japan
ISBN:9784431552383

Utforska kategorier

Matematisk statistik inom Naturvetenskap och teknik

Mer om författaren

Professor Emeritus, The University of Tokyo

Innehållsförteckning

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.