Translator Disclaimer
November 2017 Approximate local limit theorems with effective rate and application to random walks in random scenery
Rita Giuliano, Michel Weber
Bernoulli 23(4B): 3268-3310 (November 2017). DOI: 10.3150/16-BEJ846

Abstract

We show that the Bernoulli part extraction method can be used to obtain approximate forms of the local limit theorem for sums of independent lattice valued random variables, with effective error term. That is with explicit parameters and universal constants. We also show that our estimates allow us to recover Gnedenko and provide a version with effective bounds of Gamkrelidze’s local limit theorem. We further establish by this method a local limit theorem with effective remainder for random walks in random scenery.

Citation

Download Citation

Rita Giuliano. Michel Weber. "Approximate local limit theorems with effective rate and application to random walks in random scenery." Bernoulli 23 (4B) 3268 - 3310, November 2017. https://doi.org/10.3150/16-BEJ846

Information

Received: 1 January 2015; Revised: 1 February 2016; Published: November 2017
First available in Project Euclid: 23 May 2017

zbMATH: 06778287
MathSciNet: MR3654807
Digital Object Identifier: 10.3150/16-BEJ846

Rights: Copyright © 2017 Bernoulli Society for Mathematical Statistics and Probability

JOURNAL ARTICLE
43 PAGES


SHARE
Vol.23 • No. 4B • November 2017
Back to Top