Pivotal Measures in Statistical Experiments and Sufficiency PDF Download

Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Pivotal Measures in Statistical Experiments and Sufficiency PDF full book. Access full book title Pivotal Measures in Statistical Experiments and Sufficiency by Sakutaro Yamada. Download full books in PDF and EPUB format.

Pivotal Measures in Statistical Experiments and Sufficiency

Pivotal Measures in Statistical Experiments and Sufficiency PDF Author: Sakutaro Yamada
Publisher: Springer Science & Business Media
ISBN: 1461226449
Category : Mathematics
Languages : en
Pages : 138

Get Book Here

Book Description
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.