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Dependence Models via Hierarchical Structures.
・ISBN 978-1-009-58411-1 hard GB£ 54.99
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電子版あり 大学・学術機関向け電子ブック(eBook)ISBN 978-1-009-58412-8
| 著者・編者 | Nieto-Barajas, Luis E., |
|---|---|
| シリーズ | Institute of Mathematical Statistics Monographs |
| 出版社 | (Cambridge University Press, UK) |
| 出版年月 | 2025 |
| ページ数 | 149 pp. |
| 言語 | ENG |
| ニュース番号 | <M25-14058> |
解説
Bringing together years of research into one useful resource, this text empowers the reader to creatively construct their own dependence models. Intended for senior undergraduate and postgraduate students, it takes a step-by-step look at the construction of specific dependence models, including exchangeable, Markov, moving average and, in general, spatio-temporal models. All constructions maintain a desired property of pre-specifying the marginal distribution and keeping it invariant. They do not separate the dependence from the marginals and the mechanisms followed to induce dependence are so general that they can be applied to a very large class of parametric distributions. All the constructions are based on appropriate definitions of three building blocks: prior distribution, likelihood function and posterior distribution, in a Bayesian analysis context. All results are illustrated with examples and graphical representations. Applications with data and code are interspersed throughout the book, covering fields including insurance and epidemiology.