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Autor
Ahmadi Kambiz (University of Birjand, Iran), Rezaei Majid (University of Birjand, Iran)
Tytuł
On New Aging Classes Based on the Reversed Mean Residual Life Order
Źródło
Control and Cybernetics, 2013, vol. 42, nr 3, s. 727-737, bibliogr. s. 736-737
Słowa kluczowe
Statystyka matematyczna, Rozkład prawdopodobieństwa, Niezawodność
Mathematical statistics, Probability distributions, Reliability
Uwagi
summ.
Abstrakt
In this paper, we introduce new concepts of aging for lifetime distributions. The main idea is the comparison between reversed mean residual life of the random variables X and (X - t | X > t), for all t > 0. Firstly, with some examples, we highlight the role of the proposed aging classes in reliability and life testing. Then, we try to find the connection between the new aging classes and other aging classes well-known from the literature. Reliability properties of the new classes are studied. Formally, we derive the preservation property under monotonic transformations. Some Rother characterization and implications are studied. (original abstract)
Dostępne w
Biblioteka Główna Uniwersytetu Ekonomicznego w Krakowie
Biblioteka Szkoły Głównej Handlowej w Warszawie
Pełny tekst
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Bibliografia
Pokaż
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  9. Izadkhah, S. and Kayid, M. (2013) Reliability analysis of the harmonicmean inactivity time order. IEEE Transactions on Reliability 62(2), 329-337, DOI: 10.1109/TR.2013.2255793.
  10. Kayid, M. and Ahmad, I.A. (2004) On the mean inactivity time ordering with reliability applications. Probability in the Engineering and Informational Sciences 18(3), 395-409.
  11. Kayid, M. (2007) A general family of NBU classes of life distributions. Statistical Methodology 4(2), 185-195.
  12. Kayid, M., Diab, L.S., Alzughaibi, A. and Ahmad, I.A. (2011) Starshaped ordering of life distributions and its aging properties. IEEE Transactions on Reliability 60(1), 257-262.
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  18. Nanda, A.K., Singh, H., Misra, N. and Paul, P. (2003) Reliability properties of reversed residual lifetime. Communications in Statistics-Theory and Methods 32(10), 2031-2042.
  19. Nanda, A.K., Bhattacharjee, S. and Alam, S.S. (2006) On upshifted reversed mean residual life order. Communications in Statistics-Theory and Methods 35(8), 1513-1523.
  20. Pellerey, F. and Petakos, K. (2002) On closure property of the NBUC class under formation of parallel systems. IEEE Transactions on Reliability 51(4), 452-454.
  21. Poursaeed, M.H. and Nematollahi, A.R. (2010) Some aspects of the mean past lifetime of a parallel system under double regularly checking. Statistics 44(5), 505-515.
  22. Shaked, M. and Shanthikumar, J.G. (2007) Stochastic Orders. Springer Verlag, New York.
  23. Zhang, S. and Cheng, H. (2010) Testing for increasing mean inactivity time. Statistics 44(5), 467-476.
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ISSN
0324-8569
Język
eng
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