A class of asymmetric pathway distributions and an entropy interpretation

K.K. Jose and Shanoja R. Naik
Authors registered in the RePEc Author Service: Jose K. Kanichukattu ()

Physica A: Statistical Mechanics and its Applications, 2008, vol. 387, issue 28, 6943-6951

Abstract: Asymmetric distributions are widely used in probability modeling and statistical analysis. Recently, various asymmetric distributions are being developed by many researchers for modeling various data sets in real life contexts. In the present paper, we introduce a new class of q-type asymmetric distributions which include q-analogues of asymmetric Laplace, exponential power, Weibull etc. and corresponding standard distributions as special cases. Also we show that this pathway model can be obtained by optimizing Mathai’s generalized entropy with more general setup, which is a generalization of various entropy measures due to Shannon and others.

Keywords: Asymmetric distributions; Pathway model; Mathai’s entropy; Tsallis entropy (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:387:y:2008:i:28:p:6943-6951

DOI: 10.1016/j.physa.2008.08.025

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