# Large Deviation Principle For Moderate Deviation Probabilities Of Bootstrap Empirical Measures

Below is result for Large Deviation Principle For Moderate Deviation Probabilities Of Bootstrap Empirical Measures in PDF format. You can download or read online all document for free, but please respect copyrighted ebooks. This site does not host PDF files, all document are the property of their respective owners.

### Large deviations for bootstrapped empirical measures

Keywords Large deviations, Exchangeable bootstrap 1 Introduction and main results We say that a sequence of Borel probability measures (Pn)n≥1 on a topological space Y obeys a Large Deviation Principle (hereafter abbreviated LDP) with rate function I if I is a non-negative, lower semi-continuous function deﬁned on Y such that − inf y∈Ao

### arXiv:1206.1459v2 [math.ST] 21 May 2014

LARGE DEVIATION PRINCIPLE FOR MODERATE DEVIATION PROBABILITIES OF BOOTSTRAP EMPIRICAL MEASURES M. S. ERMAKOV 1. Introduction Large deviation principle (LDP) for i.i.d.r.v. s ( [2, 4, 8, 10, 13, 15, 17, 24]) allows to study a large number of diﬀerent problems on large deviation probabilities of statistics.