Central limit theorem and weak law of large numbers with rates for martingales in Banach spaces

Author:

Butzer P.L,Hahn L,Roeckerath M.Th

Publisher

Elsevier BV

Subject

Statistics, Probability and Uncertainty,Numerical Analysis,Statistics and Probability

Reference35 articles.

1. On the rate of convergence to normality of sums of dependent random variables;Basu;Acta Math. Acad. Sci. Hungar.,1976

2. On the rate of approximation in the central limit theorem for dependent random variables and random vectors;Basu;J. Multivariate Anal.,1980

3. The Lindeberg-Lèvy theorem for martingales;Billingsley,1961

4. Smooth functions on Banach manifolds;Bonic;J. Math. Mech.,1966

5. On the departure from normality of a certain class of martingales;Brown;Ann. Math. Statist.,1970

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2. Rate of convergence for Hilbert space valued processes;Bernoulli;2018-02-01

3. Moment bounds for non-stationary dependent sequences;Journal of Applied Probability;1994-09

4. Moment bounds for non-stationary dependent sequences;Journal of Applied Probability;1994-09

5. U-statistics in danach spaces;Acta Applicandae Mathematicae;1994-06

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