availableLaws {MortalityLaws}R Documentation

Check Available Mortality Laws

Description

The function returns information about the parametric models that can be called and fitted in the MortalityLaw function. For a comprehensive review of the most important mortality laws, Tabeau (2001) is a good starting point.

Usage

availableLaws(law = NULL)

Arguments

law

Optional. Default: NULL. One can extract details about a certain model by specifying its codename.

Value

The output is of the "availableLaws" class with the components:

table

Table with mortality models and codes to be used in MortalityLaw

legend

Table with details about the section of the mortality curve

Author(s)

Marius D. Pascariu

References

  1. 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 of London, 115, 513-583.

  2. Makeham, W. (1860). On the Law of Mortality and Construction of Annuity Tables. The Assurance Magazine and Journal of the Institute of Actuaries, 8(6), 301-310. doi:10.1017/S204616580000126X

  3. Thiele, T. (1871). On a Mathematical Formula to express the Rate of Mortality throughout the whole of Life, tested by a Series of Observations made use of by the Danish Life Insurance Company of 1871. Journal of the Institute of Actuaries and Assurance Magazine, 16(5), 313-329. doi:10.1017/S2046167400043688

  4. Oppermann, L. H. F. (1870). On the graduation of life tables, with special application to the rate of mortality in infancy and childhood. The Insurance Record Minutes from a meeting in the Institute of Actuaries, 42.

  5. Wittstein, T. and D. Bumsted. (1883). The Mathematical Law of Mortality. Journal of the Institute of Actuaries and Assurance Magazine, 24(3), 153-173.

  6. Steffensen, J. (1930). Infantile mortality from an actuarial point of view. Skandinavisk Aktuarietidskrift 13, 272-286. doi:10.1080/03461238.1930.10416902

  7. Perks, W. (1932). On Some Experiments in the Graduation of Mortality Statistics. Journal of the Institute of Actuaries, 63(1), 12-57. doi:10.1017/S0020268100046680

  8. Harper, F. S. (1936). An actuarial study of infant mortality. Scandinavian Actuarial Journal 1936 (3-4), 234-270. doi:10.1080/03461238.1936.10405113

  9. Weibull, W. (1951). A statistical distribution function of wide applicability. Journal of applied mechanics 103, 293-297.

  10. Beard, R. E. (1971). Some aspects of theories of mortality, cause of death analysis, forecasting and stochastic processes. Biological aspects of demography 999, 57-68.

  11. Vaupel, J., 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

  12. Siler, W. (1979), A Competing-Risk Model for Animal Mortality. Ecology, 60: 750-757. doi:10.2307/1936612

  13. Heligman, L., & Pollard, J. (1980). The age pattern of mortality. Journal of the Institute of Actuaries, 107(1), 49-80. doi:10.1017/S0020268100040257

  14. Rogers A and Planck F (1983). MODEL: A General Program for Estimating Parametrized Model Schedules of Fertility, Mortality, Migration, and Marital and Labor Force Status Transitions. IIASA Working Paper. IIASA, Laxenburg, Austria: WP-83-102

  15. Martinelle S. (1987). A generalized Perks formula for old-age mortality. Stockholm, Sweden, Statistiska Centralbyran, 1987. 55 p. (R&D Report, Research-Methods-Development, U/STM No. 38)

  16. Carriere J.F. (1992). Parametric models for life tables. Transactions of the Society of Actuaries. Vol.44

  17. Kostaki A. (1992). A nine-parameter version of the Heligman-Pollard formula. Mathematical Population Studies. Vol. 3 277-288. doi:10.1080/08898489209525346

  18. Thatcher AR, Kannisto V and Vaupel JW (1998). The force of mortality at ages 80 to 120. Odense Monographs on Population Aging Vol. 5, Odense University Press, 1998. 104, 20 p. Odense, Denmark

  19. Tabeau E. (2001). A Review of Demographic Forecasting Models for Mortality. In: Tabeau E., van den Berg Jeths A., Heathcote C. (eds) Forecasting Mortality in Developed Countries. European Studies of Population, vol 9. Springer, Dordrecht. doi:10.1007/0-306-47562-6_1

  20. Finkelstein M. (2012) Discussing the Strehler-Mildvan model of mortality Demographic Research, Vol. 26(9), 191-206. doi:10.4054/DemRes.2012.26.9

See Also

MortalityLaw

Examples

availableLaws()
[Package MortalityLaws version 2.1.0 Index]