Bivariate Laplace Transform Order and Ordering of Reversed Residual Lives

The Laplace transform order of reversed residual life, introduced by [I. Elbatal, The Laplace order and ordering of reversed residual life, Appl. Math. Sci. 36 (2007) 1773–1788.] is used in the stochastic comparison of two life distributions. In this paper, we aim to study new notions of stochastic...

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Bibliographic Details
Published in:International journal of reliability, quality, and safety engineering quality, and safety engineering, 2022-06, Vol.29 (3)
Main Authors: Jayalekshmi, S., Rajesh, G., Unnikrishnan Nair, N.
Format: Article
Language:English
Subjects:
Bivariate analysis
Laplace transforms
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Summary:The Laplace transform order of reversed residual life, introduced by [I. Elbatal, The Laplace order and ordering of reversed residual life, Appl. Math. Sci. 36 (2007) 1773–1788.] is used in the stochastic comparison of two life distributions. In this paper, we aim to study new notions of stochastic comparisons based on bivariate Laplace transform order of reversed residual lives. We investigate relationships the new stochastic order has with other existing bivariate orders. The interpretation of the new orders and their applications in different contexts are also pointed out.
ISSN:0218-5393
1793-6446
DOI:10.1142/S0218539322500061