Another look at the Gompertz model

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There is a short biography available here that quotes Gompertz as seeing a mathematics book, while still a teenager, in the window of a bookseller. Observed and fitted log mortality with the Gompertz model for UK male data for ages 50–70 and years 1970, 1985, 2000 and 2016. We assume that the number of deaths \(d_{x,y}\) follows the Poisson distribution and fit the Gompertz model for each year 1970–2016. The Gompertz model has been fitted with the Poisson distribution for the number of deaths and a log link to ages. 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.

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