Fundamentals of order and rank statistics

Contributor(s):

Material type: Text

TextPublication details: Springer Cham 2024Description: xvi, 315 pISBN:

9783031506000

Subject(s):

Rank statistics

DDC classification:

519.5 SON

Summary: 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. (https://link.springer.com/book/10.1007/978-3-031-50601-7)

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Holdings
Item type	Current library	Collection	Call number	Copy number	Status	Date due	Barcode
Book	Indian Institute of Management LRC General Stacks	Operations Management & Quantitative Techniques	519.5 SON (Browse shelf(Opens below))	1	Available		007877

Table of contents:
Front Matter
Pages i-xvi
Download chapter PDF
Preliminaries
Iickho Song, So Ryoung Park, Wenyi Zhang, Seungwon Lee
Pages 1-80
Order Statistics
Iickho Song, So Ryoung Park, Wenyi Zhang, Seungwon Lee
Pages 81-201
Rank Statistics
Iickho Song, So Ryoung Park, Wenyi Zhang, Seungwon Lee
Pages 203-294
Back Matter
Pages 295-315

(https://link.springer.com/book/10.1007/978-3-031-50601-7)

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.

(https://link.springer.com/book/10.1007/978-3-031-50601-7)

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