The renewal function is a basic tool used in many probabilistic models and sequential analysis. Based on a random sample of size $n$, a nonparametric estimator of the renewal function is introduced. Asymptotic properties of the estimator such as consistency and asymptotic normality are developed. A discussion of an application to warranty analysis is also provided.
@article{1176350163,
author = {Frees, Edward W.},
title = {Nonparametric Renewal Function Estimation},
journal = {Ann. Statist.},
volume = {14},
number = {2},
year = {1986},
pages = { 1366-1378},
language = {en},
url = {http://dml.mathdoc.fr/item/1176350163}
}
Frees, Edward W. Nonparametric Renewal Function Estimation. Ann. Statist., Tome 14 (1986) no. 2, pp. 1366-1378. http://gdmltest.u-ga.fr/item/1176350163/