Title : ( On characterization results based on the number of observations near thek-records )
Authors: Masoumeh Lake , Massoumeh Fashandi ,
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Abstract
In this paper, using the completeness properties of the sequence of functions {h n (x)=(−log x) n , 0<x<1, n≥1}, some characterization results are established. The results are based on the number of observations near the k-records. It is shown that the equality of the moment of the appropriate subsequence of the number of observations near to upper and lower k-records is a characteristic property of symmetric distributions. Since ordinary record values are contained in the k-records, the results hold for usual records as a particular case.
Keywords
, completeness properties, Müntz-Szász theorem, symmetric distribution, upper and lower record values
@article{paperid:1035002,
author = {Lake, Masoumeh and Fashandi, Massoumeh},
title = {On characterization results based on the number of observations near thek-records},
journal = {Statistics},
year = {2014},
volume = {48},
number = {3},
month = {August},
issn = {0233-1888},
pages = {633--640},
numpages = {7},
keywords = {completeness properties; Müntz-Szász theorem; symmetric distribution; upper and lower record values},
}
%0 Journal Article
%T On characterization results based on the number of observations near thek-records
%A Lake, Masoumeh
%A Fashandi, Massoumeh
%J Statistics
%@ 0233-1888
%D 2014
