The 9th Islamic Countries Conference On Statistical Sciences , 2007-12-12

Title : ( Testing Normality Based on Kullback-Leibler Information With Progressively Type-II Censored Data )

Authors: Arezou Habibirad ,

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We will use the joint entropy of progressively censored order statistics in terms of an incomplete integral of the hazard function, and provide a simple estimate of the joint entropy of progressively Type-II censored data, has been introduced by Balakrishnan et al. (2007). Then We construct a goodness-of-fit test statistic based on Kullback-Leibler information for normal distribution. Finally, by using Monte Carlo simulations, the power of the test is estimated and compared against several alternatives under different progressive censoring schemes.

We will use the joint entropy of progressively censored order statistics in terms of an incomplete integral of the hazard function, and provide a simple estimate of the joint entropy of progressively Type-II censored data, has been introduced by Balakrishnan et al. (2007). Then We construct a goodness-of-fit test statistic based on Kullback-Leibler information for normal distribution. Finally, by using Monte Carlo simulations, the power of the test is estimated and compared against several alternatives under different progressive censoring schemes.

Keywords

, Hazard function; Monte Carlo simulation; Order statistics; Progressively Type, II censored data; Test of
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@inproceedings{paperid:1006825,
author = {Habibirad, Arezou},
title = {Testing Normality Based on Kullback-Leibler Information With Progressively Type-II Censored Data},
booktitle = {The 9th Islamic Countries Conference On Statistical Sciences},
year = {2007},
location = {کوآلا لامپور},
keywords = {Hazard function; Monte Carlo simulation; Order statistics; Progressively Type-II censored data; Test of normality.},
}

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%0 Conference Proceedings
%T Testing Normality Based on Kullback-Leibler Information With Progressively Type-II Censored Data
%A Habibirad, Arezou
%J The 9th Islamic Countries Conference On Statistical Sciences
%D 2007

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