Аннотация:
Smirnov [9], 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 k-th upper order statistics with central rank using monotone regular norming sequences and obtain thirteen possible types.
Ключевые слова:k-th upper order statistic, central rank, monotone normalization, regular norming sequence.
Образец цитирования:
E. I. Pancheva, A. Gacovska, “Asymptotic behavior of central order statistics under monotone normalization”, Теория вероятн. и ее примен., 58:1 (2013), 177–192; Theory Probab. Appl., 58:1 (2014), 107–120