Title : ( Pitman closeness of record values from two sequences to population quantiles )
Authors: Mohammad Z. Raqab , Jafar Ahmadi ,
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Abstract
Suppose upper records from two independent sequences from iid continuous random variables from the same distribution, are observed. The Pitman s measure of close- ness of these statistics to population quantiles of the parent distribution is studied and various exact expressions are derived. For symmetric distributions, Pitman closeness probabilities of records to median are also obtained. Examples including exponen- tial and uniform distributions are discussed. Numerical evaluations are presented to illustrate all the results developed here.
Keywords
, Record statistics, Pitman measure of closeness, Population quantiles, Location- scale family, Symmetric distribution.
@article{paperid:1023735,
author = {Mohammad Z. Raqab and Ahmadi, Jafar},
title = {Pitman closeness of record values from two sequences to population quantiles},
journal = {Journal of Statistical Planning and Inference},
year = {2012},
volume = {142},
number = {4},
month = {January},
issn = {0378-3758},
pages = {855--862},
numpages = {7},
keywords = {Record statistics; Pitman measure of closeness; Population quantiles; Location-
scale family; Symmetric distribution.},
}
%0 Journal Article
%T Pitman closeness of record values from two sequences to population quantiles
%A Mohammad Z. Raqab
%A Ahmadi, Jafar
%J Journal of Statistical Planning and Inference
%@ 0378-3758
%D 2012
