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JOURNALS // Teoriya Veroyatnostei i ee Primeneniya // Archive
Teor. Veroyatnost. i Primenen., 1995 Volume 40, Issue 4, Pages 907–910 (Mi tvp3685)
This article is cited in 30 papers

Short Communications

Convergence of random sequences with independent random indices. II

V. Yu. Korolev

M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics

Abstract: Necessary and sufficient conditions are obtained for the convergence of some statistics constructed from samples with random sizes.

Keywords: random sequences with random indices, weak convergence, samples with random sizes, order statistics, asymptotically normal statistics.

Received: 10.03.1994


 English version: Theory of Probability and its Applications, 1995, 40:4, 770–772

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