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Pivotal Measures in Statistical Experiments and Sufficiency

Name: Pivotal Measures in Statistical Experiments and Sufficiency
Brand: Springer-Verlag New York Inc.
SKU: 06793761
Price: 102.29 EUR
Availability: InStock
Author: Sakutaro Yamada
ISBN: 9780387942162

Sakutaro Yamada

Language

English

Book Paperback

Libristo code: 06793761

Publishers Springer-Verlag New York Inc., March 1994

In the present work I want to show a mathematical study of the statistical notion of sufficiency mai... Full description

Libristo code: 06793761

249 b

102.29 €

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In the present work I want to show a mathematical study of the statistical notion of sufficiency mainly for undominated statistical experiments. The famous Burkholder's (1961) and Pitcher's(1957) examples motivated some researchers to develop new theory of sufficiency. Le Cam (1964) is probably the most excellent paper in this field of study. This note also belongs to the same area. Though it is more restrictive than Le Cam's paper(1964), a study which is connected more directly with the classical papers of Halmos and Savage(1949) , and Bahadur(1954) is shown. Namely I want to develop a study based on the notion of pivotal measure which was introduced by Halmos and Savage(1949) . It is great pleasure to have this opportunity to thank Professor H. Heyer and Professor H. Morimoto for their careful reading the manuscript and valuable comments on it. I am also thankful to Professor H. Luschgy and Professor D. Mussmann for thei r proposal of wr i ting "the note". I would like to dedicate this note to the memory of my father Eizo.