By Topic

Maximum Entropy and Reliability Distributions

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

3 Author(s)
Teitler, S. ; Naval Research Laboratory, Washington DC ; Rajagopal, A.K. ; Ngai, K.L.

An effort is made to show the relevance and usefulness of the principle of maximum entropy to reliability considerations. The constraints entering into the maximum entropy principle are identified as a class of sufficient statistics which determine the unknown parameters in the probability densities that occur in the most commonly used reliability models. In this way, the maximum entropy principle is shown to be completely compatible with prevailing practice in failure analysis. It is also pointed out that the differential entropy is equal to unity minus the expectation of the natural logarithm of the hazard rate. Maximization of the differential entropy is therefore equivalent to minimization of the expectation of the logarithm of the hazard rate. Behavior of the differential entropy under transformation of variable is used as an indicator of change or lack of change of conditions of failure.

Published in:

Reliability, IEEE Transactions on  (Volume:35 ,  Issue: 4 )