Analyses of cohort mortality incorporating observed and unobserved risk factors

Mathematical and Computer Modelling

Volumn 25, Issue 7, 1997, Pages 89-107

  Manton, K G ^a   Lowrimore, G ^a   Yashin, A ^b   Tolley, H D ^c  

^a DUKE UNIVERSITY   (United States)

^b UNIVERSITY OF SOUTHERN DENMARK   (Denmark)

^c BRIGHAM YOUNG UNIVERSITY   (United States)

Author keywords

Cohort mortality; Dubey distribution; Gompertz hazard; Smoking cessation; Weibull hazard

Indexed keywords

ASYMPTOTIC STABILITY; COMPUTER SIMULATION; DATA STRUCTURES; KNOWLEDGE BASED SYSTEMS; RISK ASSESSMENT; WEIBULL DISTRIBUTION;

COHORT MORTALITY; DUBEY DISTRIBUTION; GOMPERTZ HAZARD; WEIBULL HAZARD;

STATISTICAL METHODS;

EID: 0031128237     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0895-7177(97)00051-4     Document Type: Article

References (31)

1. M.E. Marenberg, N. Risch, L.F. Berkman, B. Floderus and U. de Faire, Genetic susceptibility to death from coronary heart disease in a study of twins, New England Journal of Medicine 330, 1041-1046 (1994).
2. S. Marriotti, P. Sansoni, G. Barbesino, P. Caturegli, D. Monti, A. Cossarizza, T. Giacomelli, G. Passeri, U. Fagiolo, A. Pinchera and C. Franceschi, Thyroid and other organ-specific autoantibodies in healthy centenarians, The Lancet 339, 1506-1508 (1992).
3. C. Brown and L. Kessler, Projections of lung cancer mortality in the United States: 1985-2025, Journal of the National Cancer Institute 80, 43-51 (1988).
4. R.T.J. Little and M.D. Schluchter, Maximum likelihood estimation for mixed continuous and categorical data with missing values, Biometrika 72, 497-512 (1985).
5. K.G. Manton, H.D. Tolley, G.R. Lowrimore and A.I. Yashin, Combining multiple sources of data in cohort analyses, Working Paper No. M574, Duke University, Center for Demographic Studies, (1995).
6. D.R. Brillinger, The natural variability of vital rates and associated statistics (with discussion), Biometrics 42, 693-734 (1986).
7. K.G. Manton, E. Stallard and J.W. Vaupel, Alternative models for the heterogeneity of mortality risks among the aged, Journal of the American Statistical Association 81, 635-644 (1986).
8. A.I. Yashin, Dynamics of survival analysis: Conditional Gaussian property versus Cameron-Martin formula, In Statistics and Control of Stochastic Processes: Steklov Seminar, 1984, (Edited by N.V. Krylov, R.S. Lipster and A.A. Novikov), pp. 466-485, Optimization Software, New York, (1985).
9. C.E. Finch, Longevity, Senescence, and the Genome, University of Chicago Press, Chicago, IL, (1990).
10. G.A. Sacher, Life table modification and life prolongation, In Handbook of the Biology of Aging, (Edited by J. Birren and C. Finch), pp. 582-638, Van Nostrand Reinhold, New York, (1977).
11. N.R. Cook, S.A. Fellingham and R. Doll, A mathematical model for the age distribution of cancer in man, International Journal of Cancer 4, 93-112 (1969).
12. B. Rosenberg, G. Kemeny, L. Smith, I. Skurnick and M. Bandurski, The kinetics and thermodynamics of death in multicellular organisms, Mechanisms of Ageing and Development 2, 275-293 (1973).
13. A.C. Economos, Rate of aging, rate of dying, and the mechanisms of mortality, Archives of Gerontological Geriatrics 1, 3-27 (1982).
14. P. Armitage and R. Doll, Stochastic models for carcinogenesis, In Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability, Vol. IV, Biology and Problems of Health (Edited by J. Neyman), pp. 19-38, University of California Press, Berkeley, CA, (1961).
15. P. Armitage and R. Doll, The age distribution of cancer and a multistage theory of carcinogenesis, British Journal of Cancer 8, 12 (1954).
16. E.R. Fearon and B. Vogelstein, A genetic model for colorectal tumorigenesis, Cell 61, 759-767 (1990).
17. T. Sellers, J. Bailey-Wilson, R. Elston, A. Wilson, G. Elston, W. Ooi and H. Rothschild, Evidence for mendelian inheritance in the pathogenesis of lung cancer, Journal of the National Cancer Institute 82, 1272-1279 (1990).
18. M. Hollstein, D. Sidransky, B. Vogelstein and C. Harris, p53 mutations in human cancers, Science 253, 49-53 (1991).
19. S.D. Dubey, Some percentile estimators of Weibull parameters, Technometrics 9, 119-129 (1967).
20. P. Hougaard, Life table methods for heterogeneous populations: Distributions describing the heterogeneity, Biometrika 71, 75-83 (1984).
21. J.A. Neider and R. Mead, A simplex method for function minimization, Computer Journal 7, 308-313 (1965).
22. A.J. Coale and M. Zelnik, New Estimates of Fertility and Population in the United States, Princeton University Press, Princeton, NJ, (1963).
23. J.S. Passel, J.S. Siegel and J.G. Robinson, Coverage of the national population in the 1980 census, by age, sex and race: Preliminary estimates by demographic analysis, In Current Population Reports, Ser. P-23, No. 155, U.S. Bureau of the Census, Washington, DC, (1982).
24. J.S. Siegel, Estimates of the coverage of the population by sex, race and age in the 1970 census, Demography 11, 1-23 (1974).
25. J.E. Harris, Cigarette smoking among successive birth cohorts of men and women in the United States during 1900-80, Journal of the National Cancer Institute 71, 473-479 (1983).
26. W.H. Wetterstrand, Parametric models for life insurance mortality data: Gompertz's law over time, Transactions of the Society of Actuaries 33, 159-175 (1982).
27. B. Efron and C. Morris, Data analysis using Stein's estimator and its generalizations, Journal of the American Statistical Association 70, 311-319 (1975).
28. R. Doll, R. Peto, K. Wheatley, R. Gray and I. Sutherland, Mortality in relation to smoking: 40 years' observations on male British doctors, British Medical Journal 309, 901-911 (1994).
29. I.J. Selikoff, Disability compensation for asbestos-associated disease in the United States, Report to the U.S. Dept. of Labor Environmental Sciences Laboratory, (Contract No. J-9-M-8-0165), Mount Sinai School of Medicine, New York, (June 1981).
30. J. Peto, H. Seidman and I.J. Selikoff, Mesothelioma incidence among asbestos workers: Implications for models of carcinogenesis and risk assessment calculations, British Journal of Medicine 45, 124-135 (1982).
31. K.G. Manton, E. Stallard, M.A. Woodbury and J.E. Dowd, Time varying covariates in stochastic multidimensional models of mortality and aging, Journal of Gerontology: Biological Sciences 49, B169-B190 (1994).