Approximation of convolutions by accompanying laws under the existence of moments of low orders-Reference-Cited by-同舟云学术

Approximation of convolutions by accompanying laws under the existence of moments of low orders

Published:1999-02 Issue:3 Volume:93 Page:336-340
ISSN:1072-3374
Container-title:Journal of Mathematical Sciences
language:en
Short-container-title:J Math Sci

Author:

Zaitsev A. Yu.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics,Statistics and Probability

Link

http://link.springer.com/content/pdf/10.1007/BF02364817.pdf

Reference27 articles.

1. T. V. Arak, “On the approximation ofn-fold convolutions of distributions having nonnegative characteristic functions by accompanying laws,”Teor. Veroyatn. Primen.,25, 221–243 (1980).

2. T. V. Arak, “On the convergence rate in Kolmogorov's uniform limit theorem. I; II,”Teor. Veroyatn. Primen.,26, 219–239; 437–451 (1981).

3. T. V. Arak, “An improvement of the lower bound for the rate of convergence in Kolmogorov's uniform limit theorem,”Teor. Veroyatn. Primen.,27, 826–832 (1982).

4. T. V. Arak and A. Yu. Zaitsev, “Uniform limit theorems for sums of independent random variables,”Trudy Mat. Inst. Akad. Nauk SSSR,174 (1988).

5. A. D. Barbour, L. H. Y. Chen, and W. L. Loh, “Compound Poisson approximation for nonnegative random variables via Stein's method,”Ann. Probab.,20, 1843–1866 (1992).

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