Goodness-of-fit tests for the Gompertz distribution |
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| Authors: | Adam Lenart Trifon I Missov |
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| Institution: | 1. Max Planck Odense Center on the Biodemography of Aging, Department of Epidemiology, Biostatistics and Biodemography, University of Southern Denmark, Odense, Denmark;2. Max Planck Institute for Demographic Research, Rostock, Germanyalenart@health.sdu.dk;4. Max Planck Institute for Demographic Research, Rostock, Germany;5. Institute of Sociology and Demography, University of Rostock, Rostock, Germany |
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| Abstract: | AbstractWhile the Gompertz distribution is often fitted to lifespan data, testing whether the fit satisfies theoretical criteria is being neglected. Here four goodness-of-fit measures – the Anderson–Darling statistic, the correlation coefficient test, a statistic using moments, and a nested test against the generalized extreme value distributions – are discussed. Along with an application to laboratory rat data, critical values calculated by the empirical distribution of the test statistics are also presented. |
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| Keywords: | Goodness-of-fit Anderson-Darling statistic Correlation coeffiicient Moments Extreme value distribution Empirical critical values |
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