Asymptotic behavior of central order statistics under monotone normalization

Pancheva, E.I. Gacovska, A.

doi:10.1137/S0040585X97986436

Asymptotic behavior of central order statistics under monotone normalization

Journal

Theory of Probability and its Applications

Date Issued

2014

Author(s)

Pancheva, E.I. Gacovska, A.

DOI

10.1137/S0040585X97986436

Abstract

Smirnov [Trudy Mat. Inst. Steklov., 25 (1949), pp. 3-60 (in Russian); Amer. Math. Transl., 67 (1952) (in English)] derived four limit types of distributions for linearly normalized central order statistics under the weak convergence. In this paper we investigate the possible limit distributions of the kth upper order statistics with central rank using monotone regular norming sequences and obtain 13 possible types.

Subjects

Central rank, k-th up...