國立虎尾科技大學 |

Stochastic Comparisons with Applications = In Order Statistics and Spacings /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Stochastic Comparisons with Applications/ by Subhash C. Kochar.
其他題名:	In Order Statistics and Spacings /
作者:	Kochar, Subhash C.
面頁冊數:	XVI, 272 p. 1 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Applied Probability. -
電子資源:	https://doi.org/10.1007/978-3-031-12104-3
ISBN:	9783031121043

Stochastic Comparisons with Applications = In Order Statistics and Spacings /
Kochar, Subhash C.

Stochastic Comparisons with ApplicationsIn Order Statistics and Spacings /[electronic resource] :by Subhash C. Kochar. - 1st ed. 2022. - XVI, 272 p. 1 illus.online resource.

Introduction and Preliminaries -- Magnitude Orders -- Variability Orders -- Skewness and Relative Aging Orders -- Dependence Orders -- Stochastic comparisons of sample spacings -- Dependence among order statistics and spacings -- Stochastic Comparisons of Weighted Sums of Random Variables -- Stochastic comparisons of mixtures of distributions.

This book emphasizes the use of stochastic orders as motivational tools for developing new statistical procedures. Stochastic orders have found useful applications in many disciplines, including reliability theory, survival analysis, risk theory, finance, nonparametric methods, economics and actuarial science. Written by a statistician, this volume clarifies the connection between stochastic orders and nonparametric methods. The importance of order statistics and spacings is well recognized. Classically, they mainly focus on the case when the observations are independent and identically distributed, however, several new developments have extended the comparison of order statistics to the case of non-identically distributed or non-independent observations. In addition to giving a detailed discussion of various topics in the general area of stochastic orders, a substantial part of the book is devoted to recent research on stochastic comparisons of order statistics and spacings, including a long chapter on dependence among them. The book will be useful for graduate students and researchers in statistics, economics, actuarial science and other related disciplines. In particular, with close to 300 references, it will be a valuable resource for reliability theorists, applied probabilists and statisticians. Readers are expected to have taken a first-year graduate level course in mathematical statistics or in applied probability. .

ISBN: 9783031121043

Standard No.: 10.1007/978-3-031-12104-3doiSubjects--Topical Terms:

1390075
Applied Probability.

LC Class. No.: QA276-280

Dewey Class. No.: 519.5

Stochastic Comparisons with Applications = In Order Statistics and Spacings /
LDR:03157nam a22003975i 4500 001 1084652
003 DE-He213
005 20221022155904.0
007 cr nn 008mamaa
008 221228s2022 sz | s |||| 0|eng d
020 $a 9783031121043 $9 978-3-031-12104-3
024 7 $a 10.1007/978-3-031-12104-3 $2 doi
035 $a 978-3-031-12104-3
050 4 $a QA276-280
072 7 $a PBT $2 bicssc
072 7 $a MAT029000 $2 bisacsh
072 7 $a PBT $2 thema
082 0 4 $a 519.5 $2 23
100 1 $a Kochar, Subhash C. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1391001
245 1 0 $a Stochastic Comparisons with Applications $h [electronic resource] : $b In Order Statistics and Spacings / $c by Subhash C. Kochar.
250 $a 1st ed. 2022.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2022.
300 $a XVI, 272 p. 1 illus. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
505 0 $a Introduction and Preliminaries -- Magnitude Orders -- Variability Orders -- Skewness and Relative Aging Orders -- Dependence Orders -- Stochastic comparisons of sample spacings -- Dependence among order statistics and spacings -- Stochastic Comparisons of Weighted Sums of Random Variables -- Stochastic comparisons of mixtures of distributions.
520 $a This book emphasizes the use of stochastic orders as motivational tools for developing new statistical procedures. Stochastic orders have found useful applications in many disciplines, including reliability theory, survival analysis, risk theory, finance, nonparametric methods, economics and actuarial science. Written by a statistician, this volume clarifies the connection between stochastic orders and nonparametric methods. The importance of order statistics and spacings is well recognized. Classically, they mainly focus on the case when the observations are independent and identically distributed, however, several new developments have extended the comparison of order statistics to the case of non-identically distributed or non-independent observations. In addition to giving a detailed discussion of various topics in the general area of stochastic orders, a substantial part of the book is devoted to recent research on stochastic comparisons of order statistics and spacings, including a long chapter on dependence among them. The book will be useful for graduate students and researchers in statistics, economics, actuarial science and other related disciplines. In particular, with close to 300 references, it will be a valuable resource for reliability theorists, applied probabilists and statisticians. Readers are expected to have taken a first-year graduate level course in mathematical statistics or in applied probability. .
650 2 4 $a Applied Probability. $3 1390075
650 1 4 $a Statistical Theory and Methods. $3 671396
650 0 $a Probabilities. $3 527847
650 0 $a Statistics . $3 1253516
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783031121036
776 0 8 $i Printed edition: $z 9783031121050
776 0 8 $i Printed edition: $z 9783031121067
856 4 0 $u https://doi.org/10.1007/978-3-031-12104-3
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)