Functional and random central limit theorems for the Robbins-Munro process
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Abstract
References (15)
Convergence of Probability Measures
1999 • 14,297 citations
A Stochastic Approximation Method
1951 • 8,888 citations
Dependent Central Limit Theorems and Invariance Principles
1974 • 597 citations
Asymptotic Distribution of Stochastic Approximation Procedures
1958 • 361 citations
On a Stochastic Approximation Method
1954 • 359 citations
On Asymptotic Normality in Stochastic Approximation
1968 • 316 citations
Approximation Methods which Converge with Probability one
1954 • 242 citations
Functional central limit theorems for processes with positive drift and their inverses
1972 • 173 citations
An Extension of the Robbins-Monro Procedure
1967 • 155 citations
Weak convergence of stochastic processes defined on semi-infinite time intervals
1963 • 148 citations
Weak Convergence of Probability Measures on the Function Space $C\lbrack 0, \infty)$
1970 • 132 citations
On mixing sequences of random variables
1958 • 83 citations
A limit theorem for the Robbins-Monro approximation
1973 • 40 citations
On Dvoretzky Stochastic Approximation Theorems
1966 • 39 citations
On martingale limit theory and strong convergence results for stochastic approximation procedures
1974 • 21 citations