Notice bibliographique
- Notice
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100 .. $a 20201019d2020 m y0engy50 ba
101 0. $a eng
102 .. $a JP
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181 .0 $6 01 $a i $b xxxe
181 .. $6 02 $c txt $2 rdacontent
182 .0 $6 01 $a b
182 .. $6 02 $c c $2 rdamedia
200 1. $a Contributions on theory of mathematical statistics $b Texte électronique $f Kei Takeuchi
214 .0 $a Tokyo $c Springer
214 .4 $d C 2020
215 .. $a 1 ressource dématérialisée
300 .. $a Notes bibliogr. Index
307 .. $a La pagination de l'édition imprimée correspondante est de : XI- 435 p.
330 .. $a This volume is a reorganized edition of Kei Takeuchis 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. They are organized into seven parts, each of which is concerned with
specific topics and edited to make a consistent thesis. Sometimes expository chapters
have been added. The topics included are as follows: theory of statistical prediction
from a non-Bayesian viewpoint and analogous to the classical theory of statistical
inference; theory of robust estimation, concepts, and procedures, and its implications
for practical applications; theory of location and scale covariant/invariant estimations
with derivation of explicit forms in various cases; theory of selection and testing
of parametric models and a comprehensive approach including the derivation of the
Akaikes Information Criterion (AIC); theory of randomized designs, comparisons of
random and conditional approaches, and of randomized and non-randomized designs, with
random sampling from finite populations considered as a special case of randomized
designs and with some separate independent papers included. Theory of asymptotically
optimal and higher-order optimal estimators are not included, since most of them already
have been published in the Joint Collected Papers of M. Akahira and K. Takeuchi. There
are some topics that are not necessarily new, do not seem to have attracted many theoretical
statisticians, and do not appear to have been systematically dealt with in textbooks
or expository monographs. One purpose of this volume is to give a comprehensive view
of such problems as well
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