Title : ( Nonparametric Prediction Intervals for Future Order Statistics in a Proportional Hazard Model )
Authors: Mostafa Razmkhah , Jafar Ahmadi ,
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Abstract
Consider k independent random samples with different sample sizes such that the ith sample comes from the cumulative distribution function (cdf) F_i=1-(1-F)^a_i where a_i is a known positive constant and F is an absolutely continuous cdf. Also, suppose that we have observed the maximum and minimum of the first k samples. This article shows how one can construct the nonparametric prediction intervals for the order statistics of the future samples on the basis of these information. Three schemes are studied and in each case exact expressions for the prediction coefficients of prediction intervals are derived. Numerical computations are given for illustrating the results. Also, a comparison study is done while the complete samples are available.
Keywords
Extremes; Multisampling plan; Order statistics; Prediction intervals; Proportional hazard model.
@article{paperid:1021235,
author = {Razmkhah, Mostafa and Ahmadi, Jafar},
title = {Nonparametric Prediction Intervals for Future Order Statistics in a Proportional Hazard Model},
journal = {Communications in Statistics - Theory and Methods},
year = {2011},
volume = {40},
number = {10},
month = {April},
issn = {0361-0926},
pages = {1807--1820},
numpages = {13},
keywords = {Extremes; Multisampling plan; Order statistics; Prediction intervals;
Proportional hazard model.},
}
%0 Journal Article
%T Nonparametric Prediction Intervals for Future Order Statistics in a Proportional Hazard Model
%A Razmkhah, Mostafa
%A Ahmadi, Jafar
%J Communications in Statistics - Theory and Methods
%@ 0361-0926
%D 2011
