東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Sharp inequalities for ordered rando...

Balakrishnan, N.

FindBook

Google Book

Amazon

博客來

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

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Sharp inequalities for ordered random variables in statistics and reliability./ by Narayanaswamy Balakrishnan, Tomasz Rychlik.
其他題名:	Standard order statistics
作者:	Balakrishnan, N.
其他作者:	Rychlik, Tomasz.
出版者:	Cham :Springer Nature Switzerland : : 2024.,
面頁冊數:	xiv, 672 p. :ill., digital ;24 cm.
內容註:	- 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.
Contained By:	Springer Nature eBook
標題:	Order statistics. -
電子資源:	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:

646302
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:02517nmm a2200349 a 4500 001 2375305
003 DE-He213
005 20240925124738.0
006 m d
007 cr nn 008maaau
008 241231s2024 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 891083
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 : $b Springer Nature Switzerland : $b Imprint: Springer, $c 2024.
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 646302
650 0 $a Inequalities (Mathematics) $3 558383
650 1 4 $a Statistical Theory and Methods. $3 891074
650 2 4 $a Statistics in Engineering, Physics, Computer Science, Chemistry and Earth Sciences. $3 3591853
700 1 $a Rychlik, Tomasz. $3 3724737
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Frontiers in probability and the statistical sciences. $3 2072820
856 4 0 $u https://doi.org/10.1007/978-3-031-61347-0
950 $a Mathematics and Statistics (SpringerNature-11649)