On The New Better Than Used Renewal Failure Rate at Specified Time

Mahmoud M. A. W., Alim N. A. Abdul and Diab L. S.
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Mahmoud M. A. W.: Mathematics Dept., Faculty of Science, Al-Azhar University, Nasr city 11884, Cairo, Egypt. mawmahmoud11@hotmail.com
Alim N. A. Abdul: Mathematics Dept., Faculty of Education, Girls Riyadh University, P.O. 11982, Hotet Sedar, Alreyadh, Saudi Arabia. nasser_anwer@yahoo.com
Diab L. S.: Stat. & Oper. Res. Dept., King Saud University, College of Science, P.O. Box 22452, Alreyadh, 11495, Saudi Arabia. lamiaa_deyab@yahoo.com

Stochastics and Quality Control, 2009, vol. 24, issue 1, 87-99

Abstract: In this paper we introduce a new class of life distribution called the new better (worse) than used renewal failure rate at specified time t0 NBURFR-t0 (NWURFR-t0). Some closure properties, such as closure under convolution, arbitrary and general mixture, and Shock model are discussed. Furthermore, a nonparametric test is proposed to test exponentiality against the NBURFR-t0 class. The critical values, the powers and Pitman efficiencies are calculated for t0 = 0:25.

Keywords: U-statistic; hypotheses testing; life testing; exponential distribution; goodness of fit; Mont Carlo method (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:bpj:ecqcon:v:24:y:2009:i:1:p:87-99:n:10

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DOI: 10.1515/EQC.2009.87

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