Applied Mathematics and Computation, ( ISI ), Volume (174), No (2), Year (2006-10) , Pages (1290-1301)

Title : ( Series approximations for the means of k-records )

Authors: Massoumeh Fashandi , Jafar Ahmadi ,

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Abstract

Applying two methods, wavelet and Taylor expansion, approximations for expectations of k-record values are derived. Since ordinary record values are contained in the k-records, approximations for their moments can be obtained as particular case. In the case of wavelet expansion, the lower and upper bounds for the mean of k-records are obtained. Numerical examples are presented in order to compare approximations and exact values for means with respect to underlying logistic distribution.

Keywords

Haar wavelet; Logistic distribution; Order statistics; Record values; Taylor expansion; Wavelet expansion
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@article{paperid:1007151,
author = {Fashandi, Massoumeh and Ahmadi, Jafar},
title = {Series approximations for the means of k-records},
journal = {Applied Mathematics and Computation},
year = {2006},
volume = {174},
number = {2},
month = {October},
issn = {0096-3003},
pages = {1290--1301},
numpages = {11},
keywords = {Haar wavelet; Logistic distribution; Order statistics; Record values; Taylor expansion; Wavelet expansion},
}

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%0 Journal Article
%T Series approximations for the means of k-records
%A Fashandi, Massoumeh
%A Ahmadi, Jafar
%J Applied Mathematics and Computation
%@ 0096-3003
%D 2006

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