Interval Estimation of the Overlapping Coefficient of Two Exponential Distributions

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https://doi.org/10.2991/jsta.d.190306.004
 http://hdl.handle.net/11603/13817

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UMBC Mathematics and Statistics Department
UMBC Faculty Collection

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2019-04-22

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journal articles postprints
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Citation of Original Publication

Sibil Jose, Seemon Thomas, Thomas Mathew, Interval Estimation of the Overlapping Coefficient of Two Exponential Distributions, Volume 18, Issue 1, March 2019, Pages 26 - 32, https://doi.org/10.2991/jsta.d.190306.004

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Subjects

generalized pivotal quantity
one-parameter exponential distribution
two-parameter exponential distribution

Abstract

For the overlapping coefficient between two one-parameter or two-parameter exponential distributions, confidence intervals are developed using generalized pivotal quantities. The accuracy of the proposed solutions are assessed using estimated coverage probabilities, and are also compared with other approximate solutions. The results are illustrated with examples.