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SOME PROBABILISTIC INEQUALITIES FOR FUZZY RANDOM VARIABLES | ||
Iranian Journal of Fuzzy Systems | ||
مقاله 8، دوره 14، شماره 6، اسفند 2017، صفحه 119-134 اصل مقاله (409.8 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22111/ijfs.2017.3501 | ||
نویسندگان | ||
Hamed Ahmadzade1؛ Mohammad Amini ![]() | ||
1Department of Statistics, University of Sistan and Baluchestan, Zahedan, Iran | ||
2Department of Statistics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad 91775, Iran | ||
3Faculty of Engineering Science, College of Engineering, University of Tehran, Tehran, Iran | ||
4Department of Statistics, Khayyam University, Mashhad, Iran | ||
چکیده | ||
In this paper, the concepts of positive dependence and linearly positive quadrant dependence are introduced for fuzzy random variables. Also, an inequality is obtained for partial sums of linearly positive quadrant depen- dent fuzzy random variables. Moreover, a weak law of large numbers is estab- lished for linearly positive quadrant dependent fuzzy random variables. We extend some well known inequalities to independent fuzzy random variables. Furthermore, a weak law of large numbers for independent fuzzy random vari- ables is stated and proved. | ||
کلیدواژهها | ||
Fuzzy random variable؛ Linearly Positive Quadrant Dependence؛ Independence؛ Law of Large Numbers | ||
مراجع | ||
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