Multi-Censored Sampling in the Three Parameter Weibull Distribution

In life and fatique testing, multi-censored samples arise when at various stages of a test, some of the survivors are withdrawn from further observation. Sample specimens which remain after each stage of censoring continue to be observed until failure or until a subsequent stage of censoring. In thi...

Full description

Saved in:
Bibliographic Details
Published in:Technometrics 1975-08, Vol.17 (3), p.347-351
Main Author: Cohen, A. Clifford
Format: Article
Language:English
Subjects:
Approximation
Censorship
Consistent estimators
Estimators
Life span
Life Testing
Maximum likelihood estimation
Maximum likelihood estimators
Multi-Censored Samples
Population estimates
Progressively Censored Samples
Sampling distributions
Weibull Distribution
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In life and fatique testing, multi-censored samples arise when at various stages of a test, some of the survivors are withdrawn from further observation. Sample specimens which remain after each stage of censoring continue to be observed until failure or until a subsequent stage of censoring. In this paper, maximum likelihood estimators and estimators which utilize the first order statistic are derived for the three parameter Weibull distribution. Estimators are also derived for the special case in which the shape parameter is known, a special case which includes the two parameter exponential distribution. An illustrative example is included.
ISSN:0040-1706
1537-2723
DOI:10.1080/00401706.1975.10489339