Sankhya: The Indian Journal of Statistics

2002, Volume 64, Series A, Pt. 3, 693--706

NONPARAMETRIC INFERENCE FOR REPAIR MODELS

By

MYLES HOLLANDER
and
JAYARAM SETHURAMAN, Florida State University, USA

SUMMARY. We survey some recent results pertaining to nonparametric inference for repair models. Of particular interest is the development of estimators and simultaneous confidence bands for the distribution $F$ of the time to first failure. Models considered include the minimal repair model, the Block, Borges and Savits~(1985) model, and the general models of Dorado, Hollander and Sethuraman~(1997), and Last and Szekli~(1998).

AMS (1991) subject classification}. Primary 62N05, 90B25; secondary 62G05.

Key words and phrases. General repair models, product limit estimators, confidence bands.

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