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Discriminating Between Weibull and Log-Normal Distributions Based on Kullback-Leibler Divergence


  • Ali Akbar Bromideh

    () (Shahid Beheshti University)


The Weibull and Log-Normal distributions are frequently used in reliability to analyze lifetime (or failure time) data. The ratio of maximized likelihood (RML) has been extensively used in choosing between the two distributions. The Kullback-Leibler information is a measure of uncertainty between two densities. We examine the use of Kullback-Leibler Divergence (KLD) in discriminating either the Weibull or Log-Normal distribution. An advantage of the KLD is that it incorporates entropy of each model. We explain the applicability of the KLD by a real data set and the consistency of the KLD with the RML is established.

Suggested Citation

  • Ali Akbar Bromideh, 2012. "Discriminating Between Weibull and Log-Normal Distributions Based on Kullback-Leibler Divergence," Istanbul University Econometrics and Statistics e-Journal, Department of Econometrics, Faculty of Economics, Istanbul University, vol. 16(1), pages 44-54, May.
  • Handle: RePEc:ist:ancoec:v:16:y:2012:i:1:p:44-54

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    References listed on IDEAS

    1. Gupta, Rameshwar D. & Kundu, Debasis, 2003. "Discriminating between Weibull and generalized exponential distributions," Computational Statistics & Data Analysis, Elsevier, vol. 43(2), pages 179-196, June.
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    Cited by:

    1. Jimut Bahan Chakrabarty & Shovan Chowdhury, 2016. "Compounded Inverse Weibull Distributions: Properties, Inference and Applications," Working papers 213, Indian Institute of Management Kozhikode.


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