Inferences On The Difference Of Failure Intensities From Two Exponential Distributions

Abstract

Exact tests and confidence intervals are derived for the difference in failure intensities for two exponential populations, based on the conditional distribution of the total time-to-failure of one of the samples, given the total time-to-failure of the two samples. Moments of the distribution are studied, and approximate methods are discussed based on approximate percentiles and on the asymptotic normal distribution. An extension of the method to Type II censored samples is given, and an extension to the problem of comparing mean costs, when the costs of the products or failures are different, is also discussed. © 1993, Taylor & Francis Group, LLC. All rights reserved.

Department(s)

Mathematics and Statistics

Second Department

Geosciences and Geological and Petroleum Engineering

Keywords and Phrases

censored; confidence intervals; difference of; exponential distributions; failure rates; sampling; tests

International Standard Serial Number (ISSN)

1532-4141; 0361-0918

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

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

Publication Date

01 Jan 1993

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