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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Pivotal Measures in Statistical Experiments and Sufficiency

Pivotal Measures in Statistical Experiments and Sufficiency

Yamada, Sakutaro

Paperback

Series: Lecture Notes in Statistics, Book 84

Probability & Statistics

ISBN10: 0387942165
ISBN13: 9780387942162
Publisher: Springer Nature
Published: Mar 11 1994
Pages: 129
Weight: 0.45
Height: 0.30 Width: 6.14 Depth: 9.21
Language: English
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.

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