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.
Publié le : 1978-01-14
Classification:
Biometric function,
life expectancy,
reliability,
total time on test,
uniform strong consistency,
bias,
tightness,
limiting normal process,
62P10,
62G05,
62E20
@article{1176344070,
author = {Yang, Grace L.},
title = {Estimation of a Biometric Function},
journal = {Ann. Statist.},
volume = {6},
number = {1},
year = {1978},
pages = { 112-116},
language = {en},
url = {http://dml.mathdoc.fr/item/1176344070}
}
Yang, Grace L. Estimation of a Biometric Function. Ann. Statist., Tome 6 (1978) no. 1, pp. 112-116. http://gdmltest.u-ga.fr/item/1176344070/