New maximum entropy methods for modeling lifetime distributions

New maximum entropy methods for modeling lifetime distributions

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Article ID: iaor201524037
Volume: 61
Issue: 6
Start Page Number: 427
End Page Number: 434
Publication Date: Sep 2014
Journal: Naval Research Logistics (NRL)
Authors: , , ,
Keywords: entropy, modelling, principle of maximum entropy
Abstract:

This article introduces two new maximum entropy (ME) methods for modeling the distribution of time to an event. One method is within the classical ME framework and provides characterizations of change point models such as the piecewise exponential distribution. The second method uses the entropy of the equilibrium distribution (ED) for the objective function and provides new characterizations of the exponential, Weibull, Pareto, and uniform distributions. With the same moment constraints, the classical ME and the maximum ED entropy algorithms generate different models for the interarrival time.

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