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On estimation of random variables via the martingale convergence theorem

✍ Scribed by A.E. Wessel; G.L. Wise


Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
381 KB
Volume
11
Category
Article
ISSN
0167-6911

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A unified martingale approach is presented for establishing the asymptotic normality of some sequences of random variables. It is applied to the numbers of inversions, rises, and peaks, respectively, as well as the oscillation and the sum of consecutive pair products of a random permutation.