Analysis For The Linear Failure-rate Life-testing Distribution


Some general comments are made concerning life-testing distributions with polynomial hazard functions, and some least squares type estimators are suggested as a possible method of parameter estimation. The linear hazard function case (h(t) = α + bt) is considered in some detail. The maximum likelihood estimators of the parameters and reliability are studied for both complete and censored sampling, and the asymptotic variance covariance matrix is derived. In the linear case the simple least squares type estimators were compared to the maximum likelihood estimators by Monte Carlo simulation, and they were found to be fairly comparable to the maximllm likelihood estimators, being somewhat, better for small b/α2 and poorer for large b/α2. Percentage points were also determined by Monte Carlo simulation to mske possible tests of hypotheses for the parameters. © 1974 Taylor & Francis Group, LLC.


Mathematics and Statistics


Air Force Materiel Command, Grant F3361

Keywords and Phrases

Estimation; Life-Testing; Linear FailLlre Rate; Reliability

International Standard Serial Number (ISSN)

1537-2723; 0040-1706

Document Type

Article - Journal

Document Version


File Type





© 2023 Taylor and Francis Group; Taylor and Francis; American Statistical Association, All rights reserved.

Publication Date

01 Jan 1974