ON RELIABILITY APPROACH AND STATISTICAL INFERENCE IN DEMOGRAPHY

Authors

  • Léo Gerville-Réache University Bordeaux, IMB, UMR 5251, F-33400 Talence, France
  • Mikhail Nikulin University Bordeaux, IMB, UMR 5251, F-33400 Talence, France
  • Ramzan Tahir University Bordeaux, IMB, UMR 5251, F-33400 Talence, France

Keywords:

Demography, Chi-square test, Mortality table, Composite hypothesis, Censoring, Gompertz model, Makeham model, Weibull model, ML estimators, NRR statistic.

Abstract

In demography, Gompertz and Makeham models have significant role in modeling and in analysis of mortality and ageing. Till the end of the 20th century, researchers have used the tables of mortalities (also called life tables) for demographic analysis but in the end of the 20th century due to the development in statistical methods of survival analysis and reliability one can treat the individuals data even with the information of censoring. The Gompertz, Makeham, and Weibull models are compared with respect to the goodness-of-fit to the table of mortality and to the individuals data in the presence of censoring. For data from the table of mortality, the test statistic considered by Gerville-Reache and Nikulin (2000) is used. For censored individual data the chi-squared type test proposed by Bagdonavicius et al. (2010) is used.

Downloads

Download data is not yet available.

References

Akritas, M.G. (1988). Pearson-type goodness of fit tests: the univariate case. J.

Amer. Statist. Assoc., 83, p. 222-230.

Bagdonavicius, V. and Nikulin, M. (2002). Accelerated Life Models.

Chapman and Hall/CRC, Boca Raton.

Bagdonavicius, V., Kruopis, J. and Nikulin M. (2010). Nonparametric tests

for Censored Data. ISTE and J.Wiley.

Bagdonavicius, V. and Nikulin, M. (2011). Chi-square goodness-of-fit test for

right censored data. Int. J. Appl. Math. Stat. Vol.24, Issue No.SI-11A, p. 30-

Drost, F. (1988). Asymptotics for generalized chi-squared goodness-of-fit

tests. CWI Tracs, Amsterdam: Centre for Mathematics and Computer

Sciences, V.48.

Gavrilov, L.A. and Gavrilova, N. S. (1991). The Biology of Life Span: A

Quantitative Approach. New York: Harwood Academic Publisher.

Downloads

Published

2012-01-18

How to Cite

Gerville-Réache, L. ., Nikulin, M. ., & Tahir, R. . (2012). ON RELIABILITY APPROACH AND STATISTICAL INFERENCE IN DEMOGRAPHY. Journal of Reliability and Statistical Studies, 5, 37–49. Retrieved from https://journals.riverpublishers.com/index.php/JRSS/article/view/21953

Issue

Section

Articles