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- W4315474715 abstract "Stress-strength reliability is widely used in manufacturing industry for producing good quality equipment. A new stress-strength index has been introduced when strengths of <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink><tex-math notation=LaTeX>$k$</tex-math></inline-formula> independent components follow exponential distributions with different scale parameters. We obtain the maximum likelihood estimator, a uniformly minimum variance unbiased estimator, a Bayes estimator, and an analogue of the best scale equivariant estimator for the new index. It is shown that the Bayes estimators' limit is a generalized Bayes estimator under the squared error loss function. The asymptotic distribution of the MLE is derived using the multivariate delta method. A detailed comparison of the risk performance of all these estimators is done numerically. The results are illustrated by two real data analyses." @default.
- W4315474715 created "2023-01-11" @default.
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- W4315474715 date "2023-01-01" @default.
- W4315474715 modified "2023-09-27" @default.
- W4315474715 title "Estimation of a New Stress Strength Index for One Parameter Exponential Family" @default.
- W4315474715 doi "https://doi.org/10.1109/tr.2022.3233897" @default.
- W4315474715 hasPublicationYear "2023" @default.
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