On the influence of moments on the rate of convergence to the normal distribution

Author:

Heyde C. C.

Publisher

Springer Science and Business Media LLC

Subject

Statistics, Probability and Uncertainty,Statistics and Probability,Analysis,General Mathematics,Statistics and Probability,Analysis

Reference7 articles.

1. Baum, L. E., and M. L. Katz: On the influence of moments on the asymptotic distribution of sums of random variables. Ann. math. Statistics 34, 1042?1044 (1963).

2. Bikjalis, A.: An estimate for the remainder term in the central limit theorem (Russian, English summary). Litovsk. Mat. Sbornik 4, 303?308 (1964).

3. Feller, W.: An introduction to probability theory and its applications, Vol. II. New York: Wiley 1966.

4. Heyde, C. C.: Some results on small deviation probability convergence rates for sums of independent random variables. Canadian J. Math. 18, 656?665 (1966).

5. Ibragimov, I. A.: The rate of convergence to the normal distribution. Soviet Math. Doklady 6, 580?582 (1965).

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