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

Author

Listed:
  • 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)

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 t 0 NBURFR-t 0 (NWURFR-t 0). 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-t 0 class. The critical values, the powers and Pitman efficiencies are calculated for t 0 = 0:25.

Suggested Citation

  • Mahmoud M. A. W. & Alim N. A. Abdul & Diab L. S., 2009. "On The New Better Than Used Renewal Failure Rate at Specified Time," Stochastics and Quality Control, De Gruyter, vol. 24(1), pages 87-99, January.
    • Handle: RePEc:bpj:ecqcon:v:24:y:2009:i:1:p:87-99:n:10
    DOI: 10.1515/EQC.2009.87
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