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Bayesian nonparametric statisticsÉcole d'été de probabilités de Saint-Flour LI - 2023 /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Bayesian nonparametric statisticsby Ismaël Castillo.
其他題名:	École d'été de probabilités de Saint-Flour LI - 2023 /
作者:	Castillo, Ismaël.
出版者:	Cham :Springer Nature Switzerland :2024.
面頁冊數:	xii, 216 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Nonparametric statistics.
電子資源:	https://doi.org/10.1007/978-3-031-74035-0
ISBN:	9783031740350$q(electronic bk.)

Bayesian nonparametric statisticsÉcole d'été de probabilités de Saint-Flour LI - 2023 /
Castillo, Ismaël.

Bayesian nonparametric statisticsÉcole d'été de probabilités de Saint-Flour LI - 2023 /[electronic resource] :by Ismaël Castillo. - Cham :Springer Nature Switzerland :2024. - xii, 216 p. :ill. (some col.), digital ;24 cm. - Lecture notes in mathematics,v. 23581617-9692 ;. - Lecture notes in mathematics ;2035..

This up-to-date overview of Bayesian nonparametric statistics provides both an introduction to the field and coverage of recent research topics, including deep neural networks, high-dimensional models and multiple testing, Bernstein-von Mises theorems and variational Bayes approximations, many of which have previously only been accessible through research articles. Although Bayesian posterior distributions are widely applied in astrophysics, inverse problems, genomics, machine learning and elsewhere, their theory is still only partially understood, especially in complex settings such as nonparametric or semiparametric models. Here, the available theory on the frequentist analysis of posterior distributions is outlined in terms of convergence rates, limiting shape results and uncertainty quantification. Based on lecture notes for a course given at the St-Flour summer school in 2023, the book is aimed at researchers and graduate students in statistics and probability.

ISBN: 9783031740350$q(electronic bk.)

Standard No.: 10.1007/978-3-031-74035-0doiSubjects--Topical Terms:

182700
Nonparametric statistics.

LC Class. No.: QA278.8

Dewey Class. No.: 519.542

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