Title : ( Nonparametric prediction intervals for progressive Type-II censored order statistics based on $$k$$ k -records )
Authors: Elham Basiri , Jafar Ahmadi ,
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Abstract
In this paper, we consider the prediction problem in two-sample case and study the non-parametric predicting of the future progressive Type-II censored order statistics based on observed $k$-records from the same distribution. Also, prediction intervals for progressive Type-II censored spacings are obtained based on $k$-record spacings. It is shown that the coverage probabilities of these intervals are exact and do not depend on the underlying distribution. Moreover, optimal prediction intervals are derived for each case. Finally, for illustrating the proposed procedure, we consider a real data set and numerical computations are given. The results of Ahmadi and Balakrishnan (Statistics 44:417--430, 2010) can be achieved as special cases of our results.
Keywords
, Order statistics, Records, Prediction coefficient, Progressive type-II censoring, Spacing.
@article{paperid:1035055,
author = {Basiri, Elham and Ahmadi, Jafar},
title = {Nonparametric prediction intervals for progressive Type-II censored order statistics based on $$k$$ k -records},
journal = {Computational Statistics},
year = {2013},
volume = {28},
number = {6},
month = {September},
issn = {0943-4062},
pages = {2825--2848},
numpages = {23},
keywords = {Order statistics; Records; Prediction coefficient; Progressive type-II censoring; Spacing.},
}
%0 Journal Article
%T Nonparametric prediction intervals for progressive Type-II censored order statistics based on $$k$$ k -records
%A Basiri, Elham
%A Ahmadi, Jafar
%J Computational Statistics
%@ 0943-4062
%D 2013
