Interval estimation from a life-test through a sequential Kolmogorov-Smirnov type procedure

Author

Gastaldi, Tommaso

Author_Institution

Dipartimento di Statistica, Probabilita e Statistiche Applicate, Rome Univ., Italy

Volume

44

Issue

3

fYear

1995

fDate

9/1/1995 12:00:00 AM

Firstpage

470

Lastpage

476

Abstract

A possibly-censored sequential procedure, based on the 1-sample 2-sided Kolmogorov-Smirnov statistic, for estimating-with a prespecified probability of error-the unknown (vector) parameter of any continuous distribution, is presented. One of the main features of this procedure is the capability of determining, during a life-test, the time when the observed data are sufficient to stop the experiment without losing the accuracy of a complete life-test. An example is given which shows that, by using this procedure, in a test conducted on 100 items having exponentially distributed lifetimes with mean 1000 hours, over 5000 test hours can be saved. In another example, to estimate the 2-parameters of a Weibull life distribution, this procedure immediately applies to the case of 2- (or more) parameter distributions

Keywords

Weibull distribution; exponential distribution; life testing; reliability theory; Weibull life distribution; accuracy; continuous distribution; exponentially distributed lifetimes; interval estimation; life test; parameter distributions; probability; reliability; sequential Kolmogorov-Smirnov type procedure; Distributed computing; Error analysis; Life estimation; Life testing; Lifetime estimation; Probability; Sequential analysis; Statistical analysis; Statistical distributions; Statistics;

fLanguage

English

Journal_Title

Reliability, IEEE Transactions on

Publisher

ieee

ISSN

0018-9529

Type

jour

DOI

10.1109/24.406587

Filename

406587