The central limit theorem for summability methods of I.I.D. random variables

Author:

Embrechts Paul,Maejima Makoto

Publisher

Springer Science and Business Media LLC

Subject

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

Reference21 articles.

1. Azlarov, T.A., Meredov, B.: Some estimates in the limit theorem for the Abel summability of random variables. (In Russian.) Izv. Akad. Nauk UzSSR Ser. Fiz.-Mat. Nauk 1977, n? 5, 7?15 (1977)

2. Bikelis, A.: Estimates of the remainder term in the central limit theorem. (In Russian.) Litovsk. Mat. Sb. 6, 323?346 (1966)

3. Bikelis, A.: On the accuracy of Gaussian approximation to the distribution of sums of independent identically distributed random variables. (In Russian.) Litovsk. Mat. Sb. 11, 237?240 (1971)

4. Bikelis, A.: Asymptotic expansions of sums of independent m-lattice random vectors. (In Russian.) Litovsk. Mat. Sb. 12, 188?189 (1972)

5. Bingham, N.H.: Tauberian theorems and the central limit theorem. Ann. Probability 9, 221?231 (1981)

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