Bootstrap of deviation probabilities with applications

JOURNAL OF MULTIVARIATE ANALYSIS

卷:101

Article

Dasgupta, Ratan

关键词: Pitman efficiency;    Bayes risk efficiency;    Bootstrap;    Large deviation;   

DOI  :  10.1016/j.jmva.2010.06.004

来源: Elsevier

【 摘 要 】

We show that under different moment bounds on the underlying variables, bootstrap approximation to the large deviation probabilities of standardized sample sum, based on independent random variables, is valid for a wider zone of n, the sample size, compared to the classical normal tail probability approximation. As an application, different notions of efficiency for statistical tests are considered from Bayesian point of view. In particular, efficiency due to Pitman (1938) [11], Chernoff (1952) [1], and Bayes risk efficiency due to Rubin and Sethuraman (1965) [12] turn out to be special cases with the choice of the weight function; i.e., prior density times loss. (c) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

Free