Carlos A. Coelho; Barry C. Arnold Finite Form Representations for Meijer G and Fox H Functions 9783030287894

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Автор: Carlos A. Coelho; Barry C. Arnold
Название: Finite Form Representations for Meijer G and Fox H Functions
ISBN: 9783030287894
Издательство: Springer
Классификация:

Массовая культура

Вероятность и статистика

Математическое и статистическое ПО

ISBN-10: 3030287890
Обложка/Формат: Soft cover
Страницы: 515
Вес: 0.81 кг.
Дата издания: 2019
Серия: Lecture Notes in Statistics
Язык: English
Издание: 1st ed. 2019
Иллюстрации: 129 tables, color; 116 illustrations, color; 41 illustrations, black and white; xviii, 515 p. 157 illus., 116 illus. in color.
Размер: 234 x 156 x 27
Читательская аудитория: Professional & vocational
Основная тема: Statistics
Подзаголовок: Applied to multivariate likelihood ratio tests using mathematica (r), maxima and r
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: 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.
Дополнительное описание: 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 Fun

Finite Form Representations for Meijer G and Fox H Functions, Carlos A. Coelho; Barry C. Arnold