Representing the mean residual life in terms of the failure rate

Mathematical and Computer Modelling

Volumn 37, Issue 12-13, 2003, Pages 1271-1280

  Gupta, R C ^a   Bradley, D M ^a  

^a UNIVERSITY OF MAINE   (United States)

Author keywords

Gaussian probability function; Pearson family of distributions; Ultimately increasing failure rate

Indexed keywords

EID: 0043073215     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0895-7177(03)90038-0     Document Type: Article

References (23)

1. C. Bryson and M.M. Siddiqui, Some criteria for aging, Journal of the American Statistical Association 64, 1472-1483, (1969).
2. W. Hollander and F. Proschan, Tests for mean residual life, Biometrika 62, 585-593, (1975).
3. E.J. Muth, Reliability models with positive memory derived from the mean residual life function, In Theory and Applications of Reliability, (Edited by C.P. Tsokos and LN. Shimi), pp. 401-434, Academic Press, (1977).
4. I. Meilijson, Limiting properties of the mean residual lifetime function, Annals of Mathematical Statistics 43 (1), 354-357, (1972).
5. A.A. Balkema and L. de Hann, Residual life time at great age, Annals of Probability 2 (5), 792-804, (1974).
6. D.M. Bradley and R.C. Gupta, Limiting behaviour of the mean residual life, Annals of the Institute of Statistical Mathematics 55 (1), 217-226, (2003).
7. Y.P. Chaubey and P.K. Sen, On smooth estimation of mean residual life, Journal of Statistical Planning and Inference 75, 223-236, (1999).
8. J.M. Ruiz and J. Navarro, Characterization of distributions by relationships between failure rate and mean residual life, IEEE Transactions on Reliability 43 (4), 640-644, (1994).
9. U.N. Nair and P.G. Sankaran, Characterization of the Pearson family of distributions, IEEE Transactions on Reliability 40 (1), 75-77, (1991).
10. A.N. Ahmed, Characterization of beta, binomial and Poisson distributions, IEEE Transactions on Reliability 40 (3), 290-295, (1991).
11. S. Osaki and X. Li, Characterizations of gamma and negative binomial distributions, IEEE Transactions on Reliability 37 (4), 379-382, (1988).
12. S.M. El-Arishy, Useful relationships between the log-survival function and truncated moments, with applications, Statistical Papers 36, 145-154, (1995).
13. A.N. Ahmed and A.A. Abdul-Rahman, On characterization of the normal, one-sided normal, lognormal, and logistic distributions via conditional expectations, Pakistan Journal of Statistics 9 (3)B, 19-30, (1993).
14. J.I. McGill, The multivariate hazard gradient and moments of the truncated multinormal distribution, Communications in Statistics Theory and Methods 21 (11), 3053-3060, (1992).
15. S. Kotz and D.N. Shanbhag, Some new approaches to probability distributions, Advances in Applied Probability 12, 903-921, (1980).
16. S.M. El-Arishy, Characterizations of Weibull, Rayleigh and Maxwell distributions using truncated moments and order statistics, Egyptian Journal of Statistics 37 (2), 198-212, (1993).
17. R.E. Glaser, Bathtub and related failure rate characterizations, Journal of the American Statistical Association 75, 667-672, (1980).
18. D. Kodlin, A new response time distribution, Biometrics 2, 227-239, (1967).
19. P.O. Carbone, L.E. Kellerhouse and E.A. Gehan, Plasmacytic myeloma: A study of relationship of survival to various clinical manifestations and anomalous protein type in 112 patients, American Journal of Medicine 42, 937-948, (1967).
20. L.J. Bain, Analysis for the linear failure rate life testing distribution, Technometrics 16 (4), 551-559, (1974).
21. M. Shaked, Accelerated life testing for a class of linear hazard rate type distributions, Technometrics 20 (4), 457-466, (1978).
22. A. Sen and G.K. Bhattacharya, Inference procedures for the linear failure rate model, Journal of Statistical Planning and Inference 46, 59-76, (1995).
23. Z. Chen, A new two-parameter lifetime distribution with bathtub shape or increasing failure rate function, Statistics & Probability Letters 49, 155-161, (2000).