國立高雄大學圖資館 |

語系: 繁體中文

說明(常見問題)

圖資館首頁

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Finite form representations for Meij...

Arnold, Barry C.

Finite form representations for Meijer G and Fox H functionsapplied to multivariate likelihood ratio tests using Mathematica, MAXIMA and R /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Finite form representations for Meijer G and Fox H functionsby Carlos A. Coelho, Barry C. Arnold.
其他題名:	applied to multivariate likelihood ratio tests using Mathematica, MAXIMA and R /
作者:	Coelho, Carlos A.
其他作者:	Arnold, Barry C.
出版者:	Cham :Springer International Publishing :2019.
面頁冊數:	xviii, 515 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Distribution (Probability theory)
電子資源:	https://doi.org/10.1007/978-3-030-28790-0
ISBN:	9783030287900$q(electronic bk.)

Finite form representations for Meijer G and Fox H functionsapplied to multivariate likelihood ratio tests using Mathematica, MAXIMA and R /
Coelho, Carlos A.

Finite form representations for Meijer G and Fox H functionsapplied to multivariate likelihood ratio tests using Mathematica, MAXIMA and R /[electronic resource] :by Carlos A. Coelho, Barry C. Arnold. - Cham :Springer International Publishing :2019. - xviii, 515 p. :ill., digital ;24 cm. - Lecture notes in statistics,v.2230930-0325 ;. - Lecture notes in statistics ;205..

Preface -- Setting the Scene -- The Meijer G and Fox H Functions -- Multiple Products of Independent Beta Random Variables with Finite Form Representations for Their Distributions -- Finite Form Representations for Extended Instances of Meijer G and Fox H Functions -- Application of the Finite Form Representations of Meijer G and Fox H Functions to the Distribution of Several Likelihood Ratio Test Statistics -- Mathematica, MAXIMA and R Packages to Implement the Likelihood Ratio Tests and Compute the Distributions in the Previous Chapter -- Approximate Finite Forms for the Cases not Covered by the Finite Representation Approach -- Index.

This book depicts a wide range of situations in which there exist finite form representations for the Meijer G and the Fox H functions. Accordingly, it will be of interest to researchers and graduate students who, when implementing likelihood ratio tests in multivariate analysis, would like to know if there exists an explicit manageable finite form for the distribution of the test statistics. In these cases, both the exact quantiles and the exact p-values of the likelihood ratio tests can be computed quickly and efficiently. The test statistics in question range from common ones, such as those used to test e.g. the equality of means or the independence of blocks of variables in real or complex normally distributed random vectors; to far more elaborate tests on the structure of covariance matrices and equality of mean vectors. The book also provides computational modules in Mathematica®, MAXIMA and R, which allow readers to easily implement, plot and compute the distributions of any of these statistics, or any other statistics that fit into the general paradigm described here.

ISBN: 9783030287900$q(electronic bk.)

Standard No.: 10.1007/978-3-030-28790-0doiSubjects--Topical Terms:

182306
Distribution (Probability theory)

LC Class. No.: QA273.6 / .C64 2019

Dewey Class. No.: 519.24

Finite form representations for Meijer G and Fox H functionsapplied to multivariate likelihood ratio tests using Mathematica, MAXIMA and R /
LDR:02883nmm a2200337 a 4500 001 570388
003 DE-He213
005 20191213153748.0
006 m d
007 cr nn 008maaau
008 200819s2019 gw s 0 eng d
020 $a 9783030287900$q(electronic bk.)
020 $a 9783030287894$q(paper)
024 7 $a 10.1007/978-3-030-28790-0 $2 doi
035 $a 978-3-030-28790-0
040 $a GP $c GP
041 0 $a eng
050 4 $a QA273.6 $b .C64 2019
072 7 $a PBT $2 bicssc
072 7 $a MAT029000 $2 bisacsh
072 7 $a PBT $2 thema
082 0 4 $a 519.24 $2 23
090 $a QA273.6 $b .C672 2019
100 1 $a Coelho, Carlos A. $3 856976
245 1 0 $a Finite form representations for Meijer G and Fox H functions $h [electronic resource] : $b applied to multivariate likelihood ratio tests using Mathematica, MAXIMA and R / $c by Carlos A. Coelho, Barry C. Arnold.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2019.
300 $a xviii, 515 p. : $b ill., digital ; $c 24 cm.
490 1 $a Lecture notes in statistics, $x 0930-0325 ; $v v.223
505 0 $a Preface -- Setting the Scene -- The Meijer G and Fox H Functions -- Multiple Products of Independent Beta Random Variables with Finite Form Representations for Their Distributions -- Finite Form Representations for Extended Instances of Meijer G and Fox H Functions -- Application of the Finite Form Representations of Meijer G and Fox H Functions to the Distribution of Several Likelihood Ratio Test Statistics -- Mathematica, MAXIMA and R Packages to Implement the Likelihood Ratio Tests and Compute the Distributions in the Previous Chapter -- Approximate Finite Forms for the Cases not Covered by the Finite Representation Approach -- Index.
520 $a This book depicts a wide range of situations in which there exist finite form representations for the Meijer G and the Fox H functions. Accordingly, it will be of interest to researchers and graduate students who, when implementing likelihood ratio tests in multivariate analysis, would like to know if there exists an explicit manageable finite form for the distribution of the test statistics. In these cases, both the exact quantiles and the exact p-values of the likelihood ratio tests can be computed quickly and efficiently. The test statistics in question range from common ones, such as those used to test e.g. the equality of means or the independence of blocks of variables in real or complex normally distributed random vectors; to far more elaborate tests on the structure of covariance matrices and equality of mean vectors. The book also provides computational modules in Mathematica®, MAXIMA and R, which allow readers to easily implement, plot and compute the distributions of any of these statistics, or any other statistics that fit into the general paradigm described here.
650 0 $a Distribution (Probability theory) $3 182306
650 1 4 $a Statistical Theory and Methods. $3 274054
650 2 4 $a Statistics and Computing/Statistics Programs. $3 275710
650 2 4 $a Applied Statistics. $3 805583
700 1 $a Arnold, Barry C. $3 205745
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Lecture notes in statistics ; $v 205. $3 559233
856 4 0 $u https://doi.org/10.1007/978-3-030-28790-0
950 $a Mathematics and Statistics (Springer-11649)