Statistical Science

Nonparametric Methods in Reliability

Myles Hollander and Edsel A. Peña

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Probabilistic and statistical models for the occurrence of a recurrent event over time are described. These models have applicability in the reliability, engineering, biomedical and other areas where a series of events occurs for an experimental unit as time progresses. Nonparametric inference methods, in particular, the estimation of a relevant distribution function, are described.

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Statist. Sci., Volume 19, Number 4 (2004), 644-651.

First available in Project Euclid: 18 April 2005

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Aalen–Nelson estimator counting process frailty Gaussian process martingale minimal repair perfect repair product-limit estimator


Hollander, Myles; Peña, Edsel A. Nonparametric Methods in Reliability. Statist. Sci. 19 (2004), no. 4, 644--651. doi:10.1214/088342304000000521.

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