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Total Time on Test Transforms of Order n and Their Implications in Reliability Analysis

Published online by Cambridge University Press:  14 July 2016

N. Unnikrishnan Nair*
Affiliation:
Cochin University of Science and Technology
P. G. Sankaran*
Affiliation:
Cochin University of Science and Technology
B. Vinesh Kumar*
Affiliation:
Cochin University of Science and Technology
*
Postal address: Department of Statistics, Cochin University of Science and Technology, Cochin, 682 022, India.
∗∗Email address: [email protected]
Postal address: Department of Statistics, Cochin University of Science and Technology, Cochin, 682 022, India.
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Abstract

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In this paper we study the properties of total time on test transforms of order n and examine their applications in reliability analysis. It is shown that the successive transforms produce either distributions with increasing or bathtub-shaped failure rates or distributions with decreasing or upside bathtub-shaped failure rates. The ageing properties of the baseline distribution is compared with those of transformed distributions, and a partial order based on nth-order transforms and their implications are discussed.

Type
Research Article
Copyright
Copyright © Applied Probability Trust 2008 

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