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Andishe 2021, 26(1): 97-102 Back to browse issues page
Exploration of singular continuous distributions and convex linear combinations‎ of different distributions
Hossein Samimi Haghgozar *
Abstract:   (884 Views)

In probability theory, a random variable (vector) is divided into discrete, absolutely continuous, singular continuous, and a mixture of them. Absolutely discrete and continuous random variables (vectors) have been extensively studied in various probability and statistics books. However, less attention has been paid to the issue of singular continuous distributions and mixture distributions, part of which is singular continuous. In this article, an example of ‎singular‎ random vectors is given. Also, examples of mixture random vectors are presented whose distribution function is a convex linear combination of discrete, absolutely ‎continuous,‎ and continuous distribution functions.

 

Keywords: ‎Random vector‎, ‎Absolutely continuous, ‎‎M‎ixture distribution, ‎ Contour set.
Full-Text [PDF 316 kb]   (295 Downloads)    
Type of Study: Research | Subject: General
Received: 2021/04/17 | Accepted: 2021/11/22 | Published: 2021/12/1
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Samimi Haghgozar H. Exploration of singular continuous distributions and convex linear combinations‎ of different distributions. Andishe. 2021; 26 (1) :97-102
URL: http://andisheyeamari.irstat.ir/article-1-851-en.html


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Volume 26, Issue 1 (12-2021) Back to browse issues page
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