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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| Format: | Article |
| Language: | English |
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Austrian Statistical Society
2018-02-01
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| Series: | Austrian Journal of Statistics |
| Online Access: | http://www.ajs.or.at/index.php/ajs/article/view/581 |
| Summary: | 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.
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| ISSN: | 1026-597X |