Estimates for the closeness of successive convolutions of multidimensional symmetric distributions

Author:

Zaįtsev A. Yu.

Publisher

Springer Science and Business Media LLC

Subject

Statistics, Probability and Uncertainty,Statistics and Probability,Analysis

Reference19 articles.

1. Arak, T.V.: On the approximation of n-fold convolutions of distributions with non-negative characteristic functions by accompanying laws (in Russian). Teor. Veroyatn. i Primen. 25, 225–246 (1980) (English translation in: Probab. Theor. Appl. 25, 221–243 (1980)

2. Arak, T.V., Zaįtsev, A.Yu.: Uniform limit theorems for sums of independent random variables (in Russian). Trudy Mathematicheskogo Instituta imeni V.A. Steklova 174, 1–216 (1986) (English translation in: Proceedings of the Steklov Institute of Mathematics, to appear)

3. Augutis, J.: On an estimate of the difference between the distribution functions of two sums of a random number of independent random variables (in Russian). Litov. Mat. Sb. 24, 16–20 (1984)

4. Essen, C.-G.: On the concentration function of a sum of independent random variables. Z. Wahrscheinlichkeitstheor. Verw. Geb. 9, 290–308 (1968)

5. Feller, W.: An introduction to probability theory and its applications, vol. I, 3rd edn. New York: Wiley 1970

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