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July 1, 1956Scandinavian Actuarial Journal425 citations

On the theory of mortality measurement

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UGUlf Grenander

Key Points

  • To examine the statistical efficiency of parametric methods for estimating the force of mortality and question the real-world validity of Makeham's formula.
  • Analyzed the statistical efficiency of multiple estimators used to calculate the force of mortality.
  • Compared estimation techniques against the maximum likelihood method under large-sample conditions assuming Makeham's formula.
  • Identified maximum likelihood estimation as the most statistically efficient approach for large samples under parametric assumptions.
  • Demonstrated that theoretical efficiency relies strictly on the assumption that mortality intensity follows Makeham's formula, questioning its practical accuracy.

Abstract

Abstract 2.1. Limitations of the parametric methods. In the previous sections we have studied the efficiency of various methods of estimating the force of mortality. The most efficient of these is, at least for large samples, the one given by the maximum likelihood method, and the rest of them have to be compared to this best estimate. However in this discussion the notion of efficiency is based on the assumption that the mortality intensity can be expressed by Makeham's formula. How realistic is this in practice?

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Cite This Study

Ulf Grenander (1956) studied this question.

synapsesocial.com/papers/6a0f4bab240833624f9bc985https://doi.org/10.1080/03461238.1956.10414944
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