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:: Volume 5, Issue 2 (2-2012) ::
JSS 2012, 5(2): 161-178 Back to browse issues page
The Generalizations of Discrete Distributions and Their Properties for Information Measures
Zahra Dastmard * , Gholamreza Mohtashami Borzadaran , Bagher Moghaddaszadeh Bazaz
Abstract:   (20843 Views)
The class of discrete distributions supported on the setup integers is considered. A discrete version of normal distribution can be characterized via maximum entropy. Also, moments, Shannon entropy and Renyi entropy have obtained for discrete symmetric distribution. It is shown that the special cases of this measures imply the discrete normal and discrete Laplace distributions. Then, an analogue of Fisher information is studied by discrete normal, bilateral power series, symmetric discrete and double logarithmic distributions. Also, the conditions under which the above distributions are unimodal are obtained. Finally, central and non-central moments, entropy and maximum entropy of double logarithmic distribution have achieved.
Keywords: Discrete and Skew Laplace distributions, Bilateral power series distribution, Double logarithmic distribution, Entropy, Fisher information.
Full-Text [PDF 407 kb]   (3314 Downloads)    
Type of Study: Research | Subject: Statistical Inference
Received: 2013/04/16 | Accepted: 2013/05/27 | Published: 2013/05/27
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Dastmard Z, Mohtashami Borzadaran G, Moghaddaszadeh Bazaz B. The Generalizations of Discrete Distributions and Their Properties for Information Measures. JSS 2012; 5 (2) :161-178
URL: http://jss.irstat.ir/article-1-202-en.html


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Creative Commons License This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Volume 5, Issue 2 (2-2012) Back to browse issues page
مجله علوم آماری – نشریه علمی پژوهشی انجمن آمار ایران Journal of Statistical Sciences

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