General theorems on rates of convergence in distribution of random variables II. Applications to the stable limit laws and weak law of large numbers
This part is concerned with the applications of the general limit theorems with rates of Part I, achieved by specializing the limiting r.v. X. This leads to new convergence theorems with higher order rates in the one- and multi-dimensional case for the stable limit law, for the central limit theorem, and the weak law of large numbers.
Year of publication: |
1978
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Authors: | Butzer, P. L. ; Hahn, L. |
Published in: |
Journal of Multivariate Analysis. - Elsevier, ISSN 0047-259X. - Vol. 8.1978, 2, p. 202-221
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Publisher: |
Elsevier |
Keywords: | Stable law central limit theorem weak law of large numbers higher order rates of convergence |
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