Estimation of a Biometric Function
The Annals of Statistics · 1978 · Volume 6 · Issue 1
Abstract
In the analysis of life tables one biometric function of interest is the life expectancy at age $x, e_x = E\lbrack X - x\mid X > x\rbrack$. Estimation of $e_x$ is considered, the standard estimator used in life tables is shown to be asymptotically unbiased, uniformly strong consistent, and converges in distribution to a Gaussian process. The connections of the estimator studied in this article and that used in reliability theory are illustrated.
Keywords
62E20, 62G05, 62P10, bias, Biometric function, life expectancy, limiting normal process, reliability, tightness, total time on test, uniform strong consistency
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