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Goodness-of-fit tests for the Gompertz distribution

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  • Adam Lenart
  • Trifon I. Missov

Abstract

While 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.

Suggested Citation

  • Adam Lenart & Trifon I. Missov, 2016. "Goodness-of-fit tests for the Gompertz distribution," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 45(10), pages 2920-2937, May.
    • Handle: RePEc:taf:lstaxx:v:45:y:2016:i:10:p:2920-2937
    DOI: 10.1080/03610926.2014.892323
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    Cited by:

    1. Javier E. Contreras-Reyes & Mohsen Maleki & Daniel Devia Cortés, 2019. "Skew-Reflected-Gompertz Information Quantifiers with Application to Sea Surface Temperature Records," Mathematics, MDPI, vol. 7(5), pages 1-14, May.
    2. Ugofilippo Basellini & Vladimir Canudas-Romo & Adam Lenart, 2019. "Location–Scale Models in Demography: A Useful Re-parameterization of Mortality Models," European Journal of Population, Springer;European Association for Population Studies, vol. 35(4), pages 645-673, October.

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