Institute of Mathematics

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    PROPRETIES OF THE K-TH UPPER ORDER STATISTICS PROCESS THROUGH AN EXAMPLE
    (Union of Mathematicians of Macedonia, 2019)
    Aneta Gacovska-Barandovska
    The author has previously considered the asymptotic be havior of upper order statistics with central rank of a sample with deterministic size and of randomly indexed upper order statistics. In this paper, by using regular norming time-space changes, a theoretical example has been constructed in order to illustrate some of the ob tained properties of the k-th upper order statistics process.
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    On limit laws for central order statistics under power normalization
    (Bulgarian Academy of Sciences, Institute of Mathematics and Informatics, 2015)
    Elisaveta I. Pancheva, Aneta Gacovska-Barandovska
    Smirnov (1949) derived four limit classes of distributions for linearly normalized central order statistics. In this paper we investigate the possible limit distributions of the k-th upper order statistics with central rank using regular power norming sequences and obtain twelve limit classes.