SOME RESULTS OF MOMENTS OF UNCERTAIN RANDOM VARIABLES
Publish place: Iranian Journal of Fuzzy Systems، Vol: 14، Issue: 2
Publish Year: 1396
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJFS-14-2_002
تاریخ نمایه سازی: 19 خرداد 1401
Abstract:
Chance theory is a mathematical methodology for dealing with indeterminatephenomena including uncertainty and randomness.Consequently, uncertain random variable is developed to describe the phenomena which involveuncertainty and randomness.Thus, uncertain random variable is a fundamental concept in chance theory.This paper provides some practical quantities to describe uncertain random variable.The typical one is the expected value, which is the uncertain version of thecenter of gravity of a physical body.Mathematically, expectations are integrals with respect to chance distributionsor chance measures.In fact, expected values measure the center of gravity of a distribution; they aremeasures of location. In order to describe a distribution in brief terms thereexist additional measures, such as the variance which measures the dispersionor spread, and moments.For calculating the moments of uncertain random variable, some formulas are provided through chance distribution and inverse chance distribution. The main results are explained by using several examples.
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Authors
Hamed Ahmadzade
Department of Statistics, University of Sistan and Baluchestan, Zahedan, Iran
Yuhong Sheng
College of Mathematical and System Sciences, Xinjiang University, Urumqi ۸۳۰۰۴۶, China
Fatemeh Hassantabar Darzi
Department of Statistics, University of Sistan and Baluchestan, Zahedan, Iran
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