Książka Bayesian Nonparametric Statistics Ismaël Castillo

Bayesian Nonparametric Statistics

École d'Été de Probabilités de Saint-Flour L - 2023

Język: Angielski
Oprawa: Miękka
Wydawca: Springer, Berlin
Dostępność: Dostępna u dostawcy
Wysyłamy za 5-8 dni
276.67
This up-to-date overview of Bayesian nonparametric statistics provides both an introduction to the f...

Informacje o książce

Język
Angielski
Oprawa
Książka - Miękka
Data wydania
2024
strony
206
EAN
9783031740343
Enbook ID
46582842
Waga
326
Wymiary
155 x 235

Pełny opis

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. 

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