New better than renewal-used classes of life distributions

IEEE Transactions on Reliability

Volumn 52, Issue 2, 2003, Pages 150-153

  Abouammoh, Abdul Rahman M ^a   Qamber, Isa S ^b  

^a KING SAUD UNIVERSITY   (Saudi Arabia)

^b UNIVERSITY OF BAHRAIN   (Bahrain)

Author keywords

Increasing failure rate; Life distribution; New better than renewal used; New better than used; Poisson shock model

Indexed keywords

ECONOMICS; INTEGRATION; LIFE CYCLE; MATHEMATICAL MODELS; PROBABILITY DENSITY FUNCTION; PROBABILITY DISTRIBUTIONS; STATISTICAL METHODS; THEOREM PROVING;

CUMULATIVE DISTRIBUTION FUNCTION; INCREASING FAILURE RATE; LIFE DISTRIBUTION; POISSON SHOCK MODEL; STOCHASTIC DOMINANCE;

RELIABILITY THEORY;

EID: 0043175400     PISSN: 00189529     EISSN: None     Source Type: Journal    
DOI: 10.1109/TR.2003.808743     Document Type: Article

References (11)

1. M. C. Bryson and M. M. Siddiqui, "Some criteria for aging," J. Amer. Stat. Assoc., vol. 64, pp. 1472-1483, 1969.
2. R. E. Barlow and F. Proschan, Statistical Theory of Reliability and Life Testing, 1981.
3. J. V. Deshpande, S. C. Kochar, and H. Singh, "Aspects of positive aging," J. Appl. Prob., vol. 23, pp. 748-756, 1986.
4. L. Tesfatsion, "Stochastic dominance and the maximization of expected utility," Review of Economics Studies, vol. 43, pp. 301-314, 1976.
5. J. Quiggin, "Stochastic dominance in regret theory," Review of Economics Studies, vol. 57, pp. 503-511, 1990.
6. A. M. Abouammoh and A. N. Ahmed, "On the renewal failure rates classes of life distributions," Stat. Prob. Lett., vol. 14, pp. 207-211, 1992.
7. G. H. Hardy, J. E. Littlewood, and G. Polya, Inequalities: Cambridge Univ. Press, 1952.
8. J. Cao and Y. Wang, "The NBUC and NWUC classes of life distributions," J. Appl. Prob., vol. 28, pp. 473-579, 1991.
9. M. I. Hendi, A. F. Mashhour, and M. A. Montasser, "Closure of NBUC class under formation of parallel systems," J. Appl. Prob., vol. 30, pp. 925-928, 1993.
10. A. M. Abouammoh and E. El-Neweihi, "Closure of NBUE and DMRL classes under formation of parallel systems," Stat. Prob. Lett., vol. 4, pp. 223-225, 1986.
11. J. D. Esary, A. W. Marshall, and F. Proschan, "Shock models and wear processes," Annales: Probability and Statistics, vol. 1, pp. 627-643, 1973.