國立虎尾科技大學 |

Sharp inequalities for ordered random variables in statistics and reliability.. Volume I,. Standard order statistics

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Sharp inequalities for ordered random variables in statistics and reliability./ by Narayanaswamy Balakrishnan, Tomasz Rychlik.
remainder title:	Standard order statistics
Author:	Balakrishnan, N.
other author:	Rychlik, Tomasz.
Published:	Cham :Springer Nature Switzerland : : 2024.,
Description:	xiv, 672 p. :ill., digital ; : 24 cm.;
Contained By:	Springer Nature eBook
Subject:	Order statistics. -
Online resource:	https://doi.org/10.1007/978-3-031-61347-0
ISBN:	9783031613470

Sharp inequalities for ordered random variables in statistics and reliability.. Volume I,. Standard order statistics
Balakrishnan, N.

Sharp inequalities for ordered random variables in statistics and reliability.Volume I,Standard order statistics[electronic resource] /Standard order statisticsby Narayanaswamy Balakrishnan, Tomasz Rychlik. - Cham :Springer Nature Switzerland :2024. - xiv, 672 p. :ill., digital ;24 cm. - Frontiers in probability and the statistical sciences,2624-9995. - Frontiers in probability and the statistical sciences..

- Introduction and Notation -- Analytic Inequalities and Other Tools -- Deterministic Bounds -- General, Symmetric and Life IID Samples -- Sampling from Finite Populations -- IID Samples from Shape Restricted Families.

The book discusses various inequalities and sharp bounds for the usual order statistics as well as some functions of them. In particular, deterministic bounds, bounds for the case of IID samples from general, symmetric and life distributions, IID samples from shape restricted family of distributions, and samples from finite populations are all discussed in detail. An elaborate numerical evaluation and comparison of various bounds are also presented in order to illustrate their inherent differences as well as their precision. Furthermore, their applications to inference, reliability theory and characterizations are also highlighted. The book provides an in-depth exposure to various mathematical inequalities and bounds established historically as well as in recent years and their applications to order statistics and some important functions of them. It thus presents an up-to-date discussion of all results in this important area of mathematical and statistical research. The results described here are general in nature and therefore could be useful in other areas of Probability and Statistics as well.

ISBN: 9783031613470

Standard No.: 10.1007/978-3-031-61347-0doiSubjects--Topical Terms:

528248
Order statistics.

LC Class. No.: QA278.7

Dewey Class. No.: 519.5

Sharp inequalities for ordered random variables in statistics and reliability.. Volume I,. Standard order statistics
LDR:02517nam a2200349 a 4500 001 1154940
003 DE-He213
005 20240925124738.0
006 m d
007 cr nn 008maaau
008 250619s2024 sz s 0 eng d
020 $a 9783031613470 $q (electronic bk.)
020 $a 9783031613463 $q (paper)
024 7 $a 10.1007/978-3-031-61347-0 $2 doi
035 $a 978-3-031-61347-0
040 $a GP $c GP
041 0 $a eng
050 4 $a QA278.7
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
090 $a QA278.7 $b .B171 2024
100 1 $a Balakrishnan, N. $3 676691
245 1 0 $a Sharp inequalities for ordered random variables in statistics and reliability. $n Volume I, $p Standard order statistics $h [electronic resource] / $c by Narayanaswamy Balakrishnan, Tomasz Rychlik.
246 3 0 $a Standard order statistics
260 $a Cham : $c 2024. $b Springer Nature Switzerland : $b Imprint: Springer,
300 $a xiv, 672 p. : $b ill., digital ; $c 24 cm.
490 1 $a Frontiers in probability and the statistical sciences, $x 2624-9995
505 0 $a - Introduction and Notation -- Analytic Inequalities and Other Tools -- Deterministic Bounds -- General, Symmetric and Life IID Samples -- Sampling from Finite Populations -- IID Samples from Shape Restricted Families.
520 $a The book discusses various inequalities and sharp bounds for the usual order statistics as well as some functions of them. In particular, deterministic bounds, bounds for the case of IID samples from general, symmetric and life distributions, IID samples from shape restricted family of distributions, and samples from finite populations are all discussed in detail. An elaborate numerical evaluation and comparison of various bounds are also presented in order to illustrate their inherent differences as well as their precision. Furthermore, their applications to inference, reliability theory and characterizations are also highlighted. The book provides an in-depth exposure to various mathematical inequalities and bounds established historically as well as in recent years and their applications to order statistics and some important functions of them. It thus presents an up-to-date discussion of all results in this important area of mathematical and statistical research. The results described here are general in nature and therefore could be useful in other areas of Probability and Statistics as well.
650 0 $a Order statistics. $3 528248
650 0 $a Inequalities (Mathematics) $3 672354
650 1 4 $a Statistical Theory and Methods. $3 671396
650 2 4 $a Statistics in Engineering, Physics, Computer Science, Chemistry and Earth Sciences. $3 1366002
700 1 $a Rychlik, Tomasz. $3 1482807
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
830 0 $a Frontiers in probability and the statistical sciences. $3 1067403
856 4 0 $u https://doi.org/10.1007/978-3-031-61347-0
950 $a Mathematics and Statistics (SpringerNature-11649)