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Max-Planck-Gesellschaft
The relative tail of longevity and the mean remaining lifetime
Maxim Finkelstein, James W. Vaupel
Demographic Research, Volume 14, Article 7
Aalen, O.O. and Gjessing, H.K. (2001). Understanding the shape of the hazard rate: a process point of view. Statistical Science 16(1): 1-22. [ doi:10.1214/ss/998929472 ]
[ Download reference in RIS | BibTeX format ]
Aven, T. and Jensen, U. (1999). Stochastic Models in Reliability. Springer. [ doi:10.1007/b97596 ]
[ Download reference in RIS | BibTeX format ]
Barlow, R. and Proschan, F. (1975). Statistical Theory of Reliability and Life Testing. Probability Models. New York: Holt, Rinehart and Winston.
[ Download reference in RIS | BibTeX format ]
Beard, R.E. (1959). Note on some mathematical mortality models. In: Woolstenholme, G.E.W. and O’Connor, M. (eds.). The Lifespan of Animals. Boston: Little, Brown and Company: 302-311.
[ Download reference in RIS | BibTeX format ]
Beard, R.E. (1971). Some aspects of theories of mortality, cause of death analysis, forecasting and stochastic processes. In: Brass, W. (ed.). Biological aspects of demography. London: Taylor & Francis: 57-68.
[ Download reference in RIS | BibTeX format ]
Finkelstein, M.S. (2000). Modeling a process of non-ideal repair. In: Limnios, N. and Nikulin, M. (eds.). Recent Advances in Reliability Theory. Birkhauser: 41-53.
[ Download reference in RIS | BibTeX format ]
Finkelstein, M.S. (2003). A model of biological aging and the shape of the observed hazard rate. Lifetime Data Analysis 9(1): 93-109. [ doi:10.1023/A:1021886207236 ]
[ Download reference in RIS | BibTeX format ]
Finkelstein, M.S. (2002). On the shape of the mean residual life function. Applied Stochastic Models in Business and Industry 18(2): 135-146. [ doi:10.1002/asmb.461 ]
[ Download reference in RIS | BibTeX format ]
Finkelstein, M.S. and Esaulova, V. (2001). Modeling a failure rate for a mixture of distribution functions. Probability in the Engineering and Informational Sciences 15(3): 383-400. [ doi:10.1017/S0269964801153076 ]
[ Download reference in RIS | BibTeX format ]
Gavrilov, N.A. and Gavrilova, N.S. (1991). The Biology of Life Span: A Quantitative Approach. Harwood Academic Publishers.
[ Download reference in RIS | BibTeX format ]
Gavrilov, N.A. and Gavrilova, N.S. (2001). The reliability theory of aging and longevity. Journal of Theoretical Biology 213(4): 527-545. [ doi:10.1006/jtbi.2001.2430 ]
[ Download reference in RIS | BibTeX format ]
Gompertz, B. (1825). On the nature of the function expressive of the law of human mortality and on a new mode of determining the value of life contingencies. Philosophical Transactions of the Royal Society 115: 513-585. [ doi:10.1098/rstl.1825.0026 ]
[ Download reference in RIS | BibTeX format ]
Gupta, R.C. and Akman, H.O. (1995). Mean residual life function for certain types of non-monotonic aging. Stochastic models 11(1): 219-225. [ doi:10.1080/15326349508807340 ]
[ Download reference in RIS | BibTeX format ]
Horiuchi, S. (2003). Interspecies differences in the life span distribution: humans versus invertebrates. In: Carey, J.K. and Tuljapurka, S. (eds.). : 127-151 (A Supplement to vol.29: Population and Development Review).
[ Download reference in RIS | BibTeX format ]
Kirkwood, T.B. (1997). The origins of human aging. Philosophical Transactions of the Royal Society of London-Series B: Biological Sciences 352(1363): 1765-1772. [ doi:10.1098/rstb.1997.0160 ]
[ Download reference in RIS | BibTeX format ]
Lynn, N.J. and Singpurwalla, N.D. (1997). Comment: “Burn-in” makes us feel good. Statistical Science 12: 13-19.
[ Download reference in RIS | BibTeX format ]
Makeham, W.M. (1867). On the law of mortality. Journal of the Institute of Actuaries 13: 325-358.
[ Download reference in RIS | BibTeX format ]
Shaked, M. and Shantikhumar, J. (1993). Stochastic Orders and Their Applications. Boston: Academic Press.
[ Download reference in RIS | BibTeX format ]
Shaked, M. and Spizzichino, F. (2001). Mixtures and monotonicity of failure rate functions. In: Balakrishnan, N. and Rao, C.R. (eds.). Handbook of Statistics. London: Elsevier: 185-198.
[ Download reference in RIS | BibTeX format ]
Steinsaltz, D. and Evans, S. (2004). Markov mortality models: Implications of quasistationarity and varying initial distributions. Theoretical Population Biology 65(4): 319-337. [ doi:10.1016/j.tpb.2003.10.007 ]
[ Download reference in RIS | BibTeX format ]
Thatcher, A.R. (1999). The long-term pattern of adult mortality and the highest attained age. Journal of the Royal Statistical Society: Series A 162(1): 5-43. [ doi:10.1111/1467-985X.00119 ]
[ Download reference in RIS | BibTeX format ]
Vaupel, J.W. (2003). Post-Darwinian longevity. In: Carey, J.K. and Tuljapurkar, S. (eds.). Life Span. Evolutionary, Ecological and Demographic Perspectives. : 127-151 (A Supplement to vol.29: Population and Development Review).
[ Download reference in RIS | BibTeX format ]
Vaupel, J.W. (1998). Demographic analysis of aging and longevity. American Economic Review 88(2): 242-247.
[ Download reference in RIS | BibTeX format ]
Vaupel, J.W., Manton, K.G., and Stallard, E. (1979). The impact of heterogeneity in individual frailty on the dynamics of mortality. Demography 16(3): 439-454. [ doi:10.2307/2061224 ]
[ Download reference in RIS | BibTeX format ]
Wachter, K.W. (2003). Hazard curves and life span prospects. In: Carey, J.K. and Tuljapurkar, S. (eds.). Life Span. Evolutionary, Ecological and Demographic Perspectives. : 270-291 (A Supplement to vol.29: Population and Development Review).
[ Download reference in RIS | BibTeX format ]
Weitz, J. and Frazer, H. (2001). Explaining mortality rates plateaus. Proceedings of the National Academy of Sciences (USA, 98: 15383-15386). [ doi:10.1073/pnas.261228098 ]
[ Download reference in RIS | BibTeX format ]
Yashin, A.I., Iachine, I.A., and Begun, A.S. (2000). Mortality modeling: a review. Mathematical Population Studies 8(4): 305-332. [ doi:10.1080/08898480009525489 ]
[ Download reference in RIS | BibTeX format ]
Yashin, A.I. and Manton, K.G. (1997). Effects of unobserved and partially observed covariate processes on system failure: a review of models and estimation strategies. Statistical Science 12(1): 20-34. [ doi:10.1214/ss/1029963259 ]
[ Download reference in RIS | BibTeX format ]
Yashin, A.I., Vaupel, J.W., and Iachine, I.A. (1994). A duality of aging: the equivalence of mortality models based on radically different concepts. Mechanisms of Aging and Development 74(1-2): 1-14. [ doi:10.1016/0047-6374(94)90094-9 ]
[ Download reference in RIS | BibTeX format ]