The uniform convergence and precise asymptotics of generalized stochastic order statistics

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:343

Article

Yan, Jigao

关键词: generalized order statistics;    precise asymptotic;   

DOI  :  10.1016/j.jmaa.2008.01.072

来源: Elsevier

【 摘 要 】

Let X (i, n, m, k), i = 1, . . . , n, be generalized order statistics based on F. For fixed r is an element of N, and a suitable counting process N(t), t > 0, we mainly discuss the precise asymptotic of the generalized stochastic order statistics X(N(n)-r+1, N(n), m, k). It not only makes the results of Yan, Wang and Cheng [J.G. Yan, Y.B. Wang, F.Y. Cheng, Precise asymptotics for order statistics of a non-random sample and a random sample, J. Systems Sci. Math. Sci. 26 (2) (2006) 237-244] as the special case of our result, and presents many groups of weighted functions and boundary functions, but also permits a unified approach to several models of ordered random variables. (c) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

Free