Displaying similar documents to “On the convergence of moments in the almost sure central limit theorem for stochastic approximation algorithms”

Asymptotic normality of randomly truncated stochastic algorithms

Jérôme Lelong (2013)

ESAIM: Probability and Statistics

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We study the convergence rate of randomly truncated stochastic algorithms, which consist in the truncation of the standard Robbins–Monro procedure on an increasing sequence of compact sets. Such a truncation is often required in practice to ensure convergence when standard algorithms fail because the expected-value function grows too fast. In this work, we give a self contained proof of a central limit theorem for this algorithm under local assumptions on the expected-value function,...

On the Recursive Estimation of the Location and of the Size of the Mode of a Probability Density

Djeddour, Khédidja, Mokkadem, Abdelkader, Pelletier, Mariane (2008)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: 62G07, 62L20. Tsybakov [31] introduced the method of stochastic approximation to construct a recursive estimator of the location q of the mode of a probability density. The aim of this paper is to provide a companion algorithm to Tsybakov's algorithm, which allows to simultaneously recursively approximate the size m of the mode. We provide a precise study of the joint weak convergence rate of both estimators. Moreover, we introduce...

Global stochastic approximation

Ryszard Zieliński

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CONTENTS1. Intuitive background. Statement of the problem...................................................................... 52. General structure of global stochastic approximation processes............................................... 73. The fundamental theorem on convergence in distribution............................................................ 104. Absolute continuity of the limit distribution 4.1. Introductory remarks................................................................................................................

Almost Higher Order Stochastic Dominance

Cuizhen Niu, Xu Guo (2014)

RAIRO - Operations Research - Recherche Opérationnelle

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In this paper, we develop the concept of almost stochastic dominance for higher order preferences and investigate the related properties of this concept.