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.
Citation
Grace L. Yang. "Estimation of a Biometric Function." Ann. Statist. 6 (1) 112 - 116, January, 1978. https://doi.org/10.1214/aos/1176344070
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