On Distribution Characteristics of a Fuzzy Random Variable

On Distribution Characteristics of a Fuzzy Random Variable

In this paper, rst a new notion of fuzzy random variables is introduced. Then, using classical techniques in Probability Theory, some aspects and results associated to a random variable (including expectation, variance, covariance, correlation coecient, etc.) will be extended to this new environmen...

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Main Author: Jalal Chachi
Format: Article
Language:English
Published: Austrian Statistical Society 2018-02-01
Series:Austrian Journal of Statistics
Online Access:http://www.ajs.or.at/index.php/ajs/article/view/581
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spelling doaj-966ae1057b324c77bfdd495b82a4338a2021-04-22T12:32:18ZengAustrian Statistical SocietyAustrian Journal of Statistics1026-597X2018-02-0147210.17713/ajs.v47i2.581On Distribution Characteristics of a Fuzzy Random VariableJalal Chachi0Semnan University In this paper, rst a new notion of fuzzy random variables is introduced. Then, using classical techniques in Probability Theory, some aspects and results associated to a random variable (including expectation, variance, covariance, correlation coecient, etc.) will be extended to this new environment. Furthermore, within this framework, we can use the tools of general Probability Theory to dene fuzzy cumulative distribution function of a fuzzy random variable. http://www.ajs.or.at/index.php/ajs/article/view/581
collection DOAJ
language English
format Article
sources DOAJ
author Jalal Chachi
spellingShingle Jalal Chachi
On Distribution Characteristics of a Fuzzy Random Variable
Austrian Journal of Statistics
author_facet Jalal Chachi
author_sort Jalal Chachi
title On Distribution Characteristics of a Fuzzy Random Variable
title_short On Distribution Characteristics of a Fuzzy Random Variable
title_full On Distribution Characteristics of a Fuzzy Random Variable
title_fullStr On Distribution Characteristics of a Fuzzy Random Variable
title_full_unstemmed On Distribution Characteristics of a Fuzzy Random Variable
title_sort on distribution characteristics of a fuzzy random variable
publisher Austrian Statistical Society
series Austrian Journal of Statistics
issn 1026-597X
publishDate 2018-02-01
description In this paper, rst a new notion of fuzzy random variables is introduced. Then, using classical techniques in Probability Theory, some aspects and results associated to a random variable (including expectation, variance, covariance, correlation coecient, etc.) will be extended to this new environment. Furthermore, within this framework, we can use the tools of general Probability Theory to dene fuzzy cumulative distribution function of a fuzzy random variable.
url http://www.ajs.or.at/index.php/ajs/article/view/581
work_keys_str_mv AT jalalchachi ondistributioncharacteristicsofafuzzyrandomvariable
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