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Applications of measure theory to st...
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Pantsulaia, Gogi.
Applications of measure theory to statistics
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
Applications of measure theory to statisticsby Gogi Pantsulaia.
作者:
Pantsulaia, Gogi.
出版者:
Cham :Springer International Publishing :2016.
面頁冊數:
xv, 134 p. :ill., digital ;24 cm.
Contained By:
Springer eBooks
標題:
Mathematical statistics.
電子資源:
http://dx.doi.org/10.1007/978-3-319-45578-5
ISBN:
9783319455785$q(electronic bk.)
Applications of measure theory to statistics
Pantsulaia, Gogi.
Applications of measure theory to statistics
[electronic resource] /by Gogi Pantsulaia. - Cham :Springer International Publishing :2016. - xv, 134 p. :ill., digital ;24 cm.
This book aims to put strong reasonable mathematical senses in notions of objectivity and subjectivity for consistent estimations in a Polish group by using the concept of Haar null sets in the corresponding group. This new approach - naturally dividing the class of all consistent estimates of an unknown parameter in a Polish group into disjoint classes of subjective and objective estimates - helps the reader to clarify some conjectures arising in the criticism of null hypothesis significance testing. The book also acquaints readers with the theory of infinite-dimensional Monte Carlo integration recently developed for estimation of the value of infinite-dimensional Riemann integrals over infinite-dimensional rectangles. The book is addressed both to graduate students and to researchers active in the fields of analysis, measure theory, and mathematical statistics.
ISBN: 9783319455785$q(electronic bk.)
Standard No.: 10.1007/978-3-319-45578-5doiSubjects--Topical Terms:
181877
Mathematical statistics.
LC Class. No.: QA276
Dewey Class. No.: 519.5
Applications of measure theory to statistics
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This book aims to put strong reasonable mathematical senses in notions of objectivity and subjectivity for consistent estimations in a Polish group by using the concept of Haar null sets in the corresponding group. This new approach - naturally dividing the class of all consistent estimates of an unknown parameter in a Polish group into disjoint classes of subjective and objective estimates - helps the reader to clarify some conjectures arising in the criticism of null hypothesis significance testing. The book also acquaints readers with the theory of infinite-dimensional Monte Carlo integration recently developed for estimation of the value of infinite-dimensional Riemann integrals over infinite-dimensional rectangles. The book is addressed both to graduate students and to researchers active in the fields of analysis, measure theory, and mathematical statistics.
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