Information measures for generalized gamma family

The objective of this paper is to integrate the generalized gamma ( GG ) distribution into the information theoretic literature. We study information properties of the GG distribution and provide an assortment of information measures for the GG family, which includes the exponential, gamma, Weibull,...

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Veröffentlicht in:Journal of econometrics 2007-06, Vol.138 (2), p.568-585
Hauptverfasser: Dadpay, Ali, Soofi, Ehsan S., Soyer, Refik
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container_title Journal of econometrics
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creator Dadpay, Ali
Soofi, Ehsan S.
Soyer, Refik
description The objective of this paper is to integrate the generalized gamma ( GG ) distribution into the information theoretic literature. We study information properties of the GG distribution and provide an assortment of information measures for the GG family, which includes the exponential, gamma, Weibull, and generalized normal distributions as its subfamilies. The measures include entropy representations of the log-likelihood ratio, AIC, and BIC, discriminating information between GG and its subfamilies, a minimum discriminating information function, power transformation information, and a maximum entropy index of fit to histogram. We provide the full parametric Bayesian inference for the discrimination information measures. We also provide Bayesian inference for the fit of GG model to histogram, using a semi-parametric Bayesian procedure, referred to as the maximum entropy Dirichlet (MED). The GG information measures are computed for duration of unemployment and duration of CEO tenure.
doi_str_mv 10.1016/j.jeconom.2006.05.010
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subjects Bayesian analysis
Bayesian method
Entropy
Exponential
Gamma
Generalized gamma distribution
Histograms
Information
Kullback-Leibler information
Maximum entropy method
Model fitting
Model testing
Parameter estimation
Statistical methods
Studies
Weibull
title Information measures for generalized gamma family
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