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Nonparametric renewal function estimation. (English) Zbl 0625.62026

Ann. Stat. 14, 1366-1378 (1986).

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.

Cited in 2 Reviews

Cited in 28 Documents

MSC:

62G05	Nonparametric estimation
62M99	Inference from stochastic processes
62E20	Asymptotic distribution theory in statistics
60K05	Renewal theory

Keywords:

U-statistics; reverse martingales; renewal function; consistency; asymptotic normality; warranty analysis

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