On testing exponentiality against NBARFR life distribution

On testing exponentiality against NBARFR life distribution

This paper considers testing exponentiality against new better than average renewal failure rate (NBARFR) alternatives. The percentiles of this test statistic are tabulated for simple sizes 5(1)50. Pitman's asymptotic efficiencies relative to the tests of the new better than used (NBU), new bet...

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Main Authors: Mohamed Abdul Wahab Mahmoud, Nasser Anwer Abdul Alim
Format: Article
Language:English
Published: University of Bologna 2007-10-01
Series:Statistica
Online Access:http://rivista-statistica.unibo.it/article/view/430
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spelling doaj-ccaf8ccb54e6421eba26154c5bbfb04f2020-11-25T00:19:41ZengUniversity of BolognaStatistica0390-590X1973-22012007-10-0162461963110.6092/issn.1973-2201/430421On testing exponentiality against NBARFR life distributionMohamed Abdul Wahab MahmoudNasser Anwer Abdul AlimThis paper considers testing exponentiality against new better than average renewal failure rate (NBARFR) alternatives. The percentiles of this test statistic are tabulated for simple sizes 5(1)50. Pitman's asymptotic efficiencies relative to the tests of the new better than used (NBU), new better than used failure rate (NBUFR) and new better than used renewal failure rate (NBURFR) (Amhmed, 1994; Hendi et al., 2000 and Mahmoud and Abdul Alim, 2002). The powers of this test are also calculated for some used life distributions. The problem when right-censored data is available is handled. Pratical applications of our tests in the medical sciences are present.http://rivista-statistica.unibo.it/article/view/430
collection DOAJ
language English
format Article
sources DOAJ
author Mohamed Abdul Wahab Mahmoud
Nasser Anwer Abdul Alim
spellingShingle Mohamed Abdul Wahab Mahmoud
Nasser Anwer Abdul Alim
On testing exponentiality against NBARFR life distribution
Statistica
author_facet Mohamed Abdul Wahab Mahmoud
Nasser Anwer Abdul Alim
author_sort Mohamed Abdul Wahab Mahmoud
title On testing exponentiality against NBARFR life distribution
title_short On testing exponentiality against NBARFR life distribution
title_full On testing exponentiality against NBARFR life distribution
title_fullStr On testing exponentiality against NBARFR life distribution
title_full_unstemmed On testing exponentiality against NBARFR life distribution
title_sort on testing exponentiality against nbarfr life distribution
publisher University of Bologna
series Statistica
issn 0390-590X
1973-2201
publishDate 2007-10-01
description This paper considers testing exponentiality against new better than average renewal failure rate (NBARFR) alternatives. The percentiles of this test statistic are tabulated for simple sizes 5(1)50. Pitman's asymptotic efficiencies relative to the tests of the new better than used (NBU), new better than used failure rate (NBUFR) and new better than used renewal failure rate (NBURFR) (Amhmed, 1994; Hendi et al., 2000 and Mahmoud and Abdul Alim, 2002). The powers of this test are also calculated for some used life distributions. The problem when right-censored data is available is handled. Pratical applications of our tests in the medical sciences are present.
url http://rivista-statistica.unibo.it/article/view/430
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