Alternative models for the heterogeneity of mortality risks among the aged.

The authors examine how sensitive the estimates of heterogeneity in the mortality risks in a population are to the choices of two types of function, "one describing the age-specific rate of increase of mortality risks for individuals and the other describing the distribution of mortality risks across individuals." U.S. data from published Medicare mortality rates for the period 1968-1978 are used to analyze total mortality among the aged. "In addition, national vital statistics data for the period 1950-1977 were used to analyze adult lung cancer mortality. For these data, the estimates of structural parameters were less sensitive to reasonable choices of the heterogeneity distribution (gamma vs. inverse Gaussian) than to reasonable choices of the hazard rate function (Gompertz vs. Weibull)."

[1]  W. Loh,et al.  A New Method for Testing Separate Families of Hypotheses , 1985 .

[2]  A. Yashin,et al.  Mortality and aging in a heterogeneous population: a stochastic process model with observed and unobserved variables. , 1985, Theoretical population biology.

[3]  K. Manton,et al.  Recent Trends in Mortality Analysis. , 1984 .

[4]  J. Heckman,et al.  The Identifiability of the Proportional Hazard Model , 1984 .

[5]  Philip Hougaard,et al.  Life table methods for heterogeneous populations: Distributions describing the heterogeneity , 1984 .

[6]  C. Morris Natural Exponential Families with Quadratic Variance Functions: Statistical Theory , 1983 .

[7]  B. Lindsay The Geometry of Mixture Likelihoods: A General Theory , 1983 .

[8]  K. Manton,et al.  A population-based model of respiratory cancer incidence, progression, diagnosis, treatment, and mortality. , 1982, Computers and biomedical research, an international journal.

[9]  Chris Elbers,et al.  True and Spurious Duration Dependence: The Identifiability of the Proportional Hazard Model , 1982 .

[10]  Nicholas P. Jewell,et al.  Mixtures of Exponential Distributions , 1982 .

[11]  A. C. Economos,et al.  Rate of aging, rate of dying and the mechanism of mortality. , 1982, Archives of gerontology and geriatrics.

[12]  C. Morris Natural Exponential Families with Quadratic Variance Functions , 1982 .

[13]  K. Manton,et al.  Methods for evaluating the heterogeneity of aging processes in human populations using vital statistics data: explaining the black/white mortality crossover by a model of mortality selection. , 1981, Human biology.

[14]  K. Manton,et al.  A stochastic compartment model representation of chronic disease dependence: techniques for evaluating parameters of partially unobserved age inhomogeneous stochastic processes. , 1980, Theoretical population biology.

[15]  J. Kalbfleisch,et al.  The Statistical Analysis of Failure Time Data , 1980 .

[16]  J. Flannery,et al.  On the role of aging in cancer incidence. , 1980, Journal of theoretical biology.

[17]  K G Manton,et al.  Maximum likelihood estimation of a stochastic compartment model of cancer latency: lung cancer mortality among white females in the U.S. , 1979, Computers and biomedical research, an international journal.

[18]  N. Keyfitz,et al.  Mortality in a heterogeneous population , 1979 .

[19]  James H. Matis,et al.  Stochastic Models of Compartmental Systems , 1979 .

[20]  B. Efron,et al.  Assessing the accuracy of the maximum likelihood estimator: Observed versus expected Fisher information , 1978 .

[21]  E. A. Murphy Epidemiological strategies and genetic factors. , 1978, International journal of epidemiology.

[22]  G. S. Watson Age incidence curves for cancer. , 1977, Proceedings of the National Academy of Sciences of the United States of America.

[23]  M A Woodbury,et al.  A random-walk model of human mortality and aging. , 1977, Theoretical population biology.

[24]  N. Singpurwalla,et al.  Methods for Statistical Analysis of Reliability and Life Data. , 1975 .

[25]  M Gail,et al.  A review and critique of some models used in competing risk analysis. , 1975, Biometrics.

[26]  Jane Menken,et al.  Mathematical Models of Conception and Birth , 1974 .

[27]  R. Doll,et al.  A mathematical model for the age distribution of cancer in man , 1969, International journal of cancer.

[28]  A. Coale,et al.  New Estimates of Fertility and Population in the United States , 1963 .

[29]  E. Trucco,et al.  The Stochastic Theory of Mortality * , 1962, Annals of the New York Academy of Sciences.

[30]  B. Strehler,et al.  General theory of mortality and aging. , 1960, Science.

[31]  G. Failla THE AGING PROCESS AND CANCEROGENESIS , 1958, Annals of the New York Academy of Sciences.

[32]  M. Tweedie Statistical Properties of Inverse Gaussian Distributions. II , 1957 .

[33]  M. Spiegelman,et al.  Introduction to Demography. , 1956 .

[34]  Anatoli I. Yashin,et al.  The Deviant Dynamics Of Death In Heterogeneous Populations , 1983 .

[35]  J. Murray,et al.  Gingival recession ("getting long in the tooth"). Colorectal cancer. Degenerative and malignant changes as errors of growth-control. , 1973, Mechanisms of ageing and development.

[36]  G. Kemény,et al.  The kinetics and thermodynamics of death in multicellular organisms. , 1973, Mechanisms of ageing and development.

[37]  Bernard L. Strehler,et al.  Time, cells, and aging , 1962 .

[38]  P. Armitage,et al.  Stochastic Models for Carcinogenesis , 1961 .

[39]  D.,et al.  Regression Models and Life-Tables , 2022 .