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Fundamentals of order and rank statistics

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Fundamentals of order and rank statisticsby Iickho Song ... [et al.].
其他作者:	Song, Iickho.
出版者:	Cham :Springer Nature Switzerland :2024.
面頁冊數:	xvi, 315 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Order statistics.
電子資源:	https://doi.org/10.1007/978-3-031-50601-7
ISBN:	9783031506017$q(electronic bk.)

Fundamentals of order and rank statistics
Fundamentals of order and rank statistics[electronic resource] /by Iickho Song ... [et al.]. - Cham :Springer Nature Switzerland :2024. - xvi, 315 p. :ill. (some col.), digital ;24 cm.

Preliminaries -- Order Statistics -- Rank Statistics -- Answers to Selected Exercises.

This book is devoted to the fundamentals of order and rank statistics. Primarily focusing on theoretical properties, it also discusses practical aspects, including interesting applications of step and impulse functions for the distribution of random variables, magnitudes, and signs. New concepts are introduced, such as independent and semi-identically distributed random vectors and probability density-mass functions. This book also presents an investigation of relative magnitudes in order statistics, and of correlation coefficients among signs, ranks, and magnitudes. The basic concepts are described in clear terms, and step-by-step details are provided for most of the presented mathematical results. The exposition is accompanied by numerous examples and more than 100 exercises, for which a complete solution manual is available. Providing a useful reference, and requiring only a basic understanding of probability and random variables, the book will appeal to a wide readership.

ISBN: 9783031506017$q(electronic bk.)

Standard No.: 10.1007/978-3-031-50601-7doiSubjects--Topical Terms:

189751
Order statistics.

LC Class. No.: QA278.7

Dewey Class. No.: 519.5

Fundamentals of order and rank statistics
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245 0 0 $a Fundamentals of order and rank statistics $h [electronic resource] / $c by Iickho Song ... [et al.].
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300 $a xvi, 315 p. : $b ill. (some col.), digital ; $c 24 cm.
505 0 $a Preliminaries -- Order Statistics -- Rank Statistics -- Answers to Selected Exercises.
520 $a This book is devoted to the fundamentals of order and rank statistics. Primarily focusing on theoretical properties, it also discusses practical aspects, including interesting applications of step and impulse functions for the distribution of random variables, magnitudes, and signs. New concepts are introduced, such as independent and semi-identically distributed random vectors and probability density-mass functions. This book also presents an investigation of relative magnitudes in order statistics, and of correlation coefficients among signs, ranks, and magnitudes. The basic concepts are described in clear terms, and step-by-step details are provided for most of the presented mathematical results. The exposition is accompanied by numerous examples and more than 100 exercises, for which a complete solution manual is available. Providing a useful reference, and requiring only a basic understanding of probability and random variables, the book will appeal to a wide readership.
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