| 书目名称 | Multivariate Discrete q-Distributions |
| 编辑 | Charalambos A. Charalambides |
| 视频video | |
| 概述 | Presents definitions and theorems that highlight key concepts and worked examples to illustrate the various applications.Contains numerous exercises at varying levels of difficulty that consolidate th |
| 丛书名称 | Synthesis Lectures on Mathematics & Statistics |
| 图书封面 |  |
| 描述 | .This book is devoted to the study of multivariate discrete q-distributions, which is greatly facilitated by existing multivariate q-sequences and q-functions.Classical multivariate discrete distributions are defined on a sequence of independent and identically distributed Bernoulli trials, with either being a success of a certain rank (level) or a failure. The author relaxes the assumption that the probability of success of a trial is constant by assuming that it varies geometrically with the number of trials and/or the number of successes. The latter is advantageous in the sense that it permits incorporating the experience gained from the previous trials and/or successes, which leads to multivariate discrete .q.-distributions. Furthermore, .q.-multinomial and negative .q.-multinomial formulae are obtained. Next, the book addresses .q.-multinomial and negative .q.-multinomial distributions of the first and second kind. The author also examines multiple .q.-Polya urn model, multivariate .q.-Polya and inverse .q.-Polya distributions. .Presents definitions and theorems that highlight key concepts and worked examples to illustrate the various applications.Contains numerous exercises |
| 出版日期 | Textbook 2024 |
| 关键词 | Enumerative Combinatorics; Discrete Probability; Discrete Distributions; Discrete Stochastic Models; Mul |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-031-43713-7 |
| isbn_softcover | 978-3-031-43715-1 |
| isbn_ebook | 978-3-031-43713-7Series ISSN 1938-1743 Series E-ISSN 1938-1751 |
| issn_series | 1938-1743 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
发表于 2025-3-21 20:03:36
