General theorems on rates of convergence in distribution of random variables I. General limit theorems
- 1 June 1978
- journal article
- Published by Elsevier in Journal of Multivariate Analysis
- Vol. 8 (2) , 181-201
- https://doi.org/10.1016/0047-259x(78)90071-4
Abstract
No abstract availableKeywords
This publication has 10 references indexed in Scilit:
- General theorems on rates of convergence in distribution of random variables II. Applications to the stable limit laws and weak law of large numbersJournal of Multivariate Analysis, 1978
- Approximationsordnung im Zentralen Grenzwertsatz und für den Erwartungswert der standardisierten SummenvariablenMathematische Nachrichten, 1976
- On the rate of approximation in the central limit theoremJournal of Approximation Theory, 1975
- Berry-Esseen Estimates in Hilbert Space and an Application to the Law of the Iterated LogarithmThe Annals of Probability, 1974
- A Comparison Method for Distribution Functions of Sums of Independent and Dependent Random VariablesTheory of Probability and Its Applications, 1970
- On the Chebyshev-Cramér Asymptotic ExpansionsTheory of Probability and Its Applications, 1967
- On the Convergence of Moments in the Central Limit TheoremThe Annals of Mathematical Statistics, 1965
- An elementary proof of the central limit theoremArchiv der Mathematik, 1959
- Fourier analysis of distribution functions. A mathematical study of the Laplace-Gaussian lawActa Mathematica, 1945
- The accuracy of the Gaussian approximation to the sum of independent variatesTransactions of the American Mathematical Society, 1941