On smooth estimation of mean residual life

The methodology developed in Chaubey and Sen (1996), ( Statistics and Decision, 14, 1–22) is adopted here for smooth estimation of mean residual life. It is seen that Hille (1948), ( Functional Analysis and Semigroups, AMS, New York) theorem, which has been vital in the development of smooth estimat...

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Bibliographic Details
Published in:Journal of statistical planning and inference 1999, Vol.75 (2), p.223-236
Main Authors: Chaubey, Yogendra P., Sen, Pranab K.
Format: Article
Language:English
Subjects:
Applications
Exact sciences and technology
Exponential smoothing
Hille’s theorem
Mathematics
Nonparametric inference
Probability and statistics
Reliability, life testing, quality control
Sciences and techniques of general use
Statistics
Strong consistency
Survival function
Tail-behavior
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Summary:The methodology developed in Chaubey and Sen (1996), ( Statistics and Decision, 14, 1–22) is adopted here for smooth estimation of mean residual life. It is seen that Hille (1948), ( Functional Analysis and Semigroups, AMS, New York) theorem, which has been vital in the development of smooth estimators of the distribution, density, hazard and cumulative hazard functions, does not work well in the current context. For this reason a modified weighting scheme is proposed for estimation of the mean residual life. Asymptotic properties of the resulting estimator is investigated along with its aging aspects.
ISSN:0378-3758
1873-1171
DOI:10.1016/S0378-3758(98)00144-X