Some Aging Properties of Weibull Models
Barlow, R.E. and Proschan, F. (1981), Statistical Theory of
Reliability and Life Testing: Probability Models. To Begin With,
Silver Spring, MD.
Bhattacharjee S., Nanda A.K., Misra S. Kr. (2013), Reliability analysis using aging intensity function. Statistics and Probability Letters, 83 (5), 1364-1371.
Ebeling, C.E. (2006), An Introduction to Reliability and Maintainability Engineering. Tata McGraw-Hill Publishing Company Limited. New Delhi.
Gompertz, B. (1825), On the nature of the function
expressive of the law of human mortality and on the new model of determining the value of life contingencies. Philosophical Trans. Royal Society of London, 115, 513-585.
Jiang, R., and D.N.P.Murthy (2001), Models involving two inverse Weibull distributions, Reliability Engineering and System Safety, 73, 73-81.
Jiang, R., Ji, P., and Xiao, X. (2003), Aging property of
univariate failure rate models, Reliability Engineering and System Safety, 39, 113-116.
Kies, J.A. (1958), The strength
of glass, Naval Research Lab., Washinton DC, Report No. 5093. C. D.
Lai, C.D., Xie, M. and Murthy, D.N.P. (2003),
Modified Weibull model, IEEE Transactions on Reliability, 52, 33-37.
Shaked, M. and Shanthikumar, J.G. (1994), Stochastic Orders and Their Applications. Academic Press, San Diego.
Shaked, M. and Shanthikumar, J.G. (2007). Stochastic Orders. NewYork: Springer.
Nadarajah, S. and Kotz, S. (2005), On some recent modifications of
Weibull distribution, IEEE Transactions on Reliability, 54, 561-562.
Nanda, A. K., Bhattacharjee, S., Alam, S.S. (2007),
Properties of ageing intensity function, Statistics and Probability Letters, 77, 365-373.
Pham, H. (2002), A vtub-shaped hazard rate function with applications to system safety, International Journal of Relaibility and Applications, 3, 1-16.
Pham, H. and Lai, C.D. (2007), On recent generalizations
of the Weibull distribution, IEEE Transactions on Reliability, 56,
Phani, K.K. (1987), A new modified Weibull distribution
function, Communications of the American Ceramic Society, 70, 182-184.
Smith, R.M. and Bain, L.J. (1975), An exponential power life-testing distribution, Communications in Statistics: Theory and Methods, Vol 4, 469-481.
Weibull, W. (1951), A statistical distribution
function of wide applicability, Journal of Applied Mechanics, 18,
Full Text: pdf