Title : ( Maximal Inequalities and Some Convergence Theorems for Fuzzy Random Variables )
Authors: Hamed Ahmadzade , Mohammad Amini , Seyed Mahmoud Taheri , Abolghasem Bozorgnia ,
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Abstract
Some maximal inequalities for quadratic forms of independent and linearly negative quadrant dependent fuzzy random variables are established. Strong convergence of such quadratic forms are proved based on the martingale theory. A weak law of large numbers for linearly negative quadrant dependent fuzzy random variables is stated and proved.
Keywords
, fuzzy random variable, quadratic form, linearly negative quadrant dependence, llaw of large numbers, almost surely convergence
@article{paperid:1056139,
author = {Ahmadzade, Hamed and Amini, Mohammad and Seyed Mahmoud Taheri and Bozorgnia, Abolghasem},
title = {Maximal Inequalities and Some Convergence Theorems for Fuzzy Random Variables},
journal = {Kybernetika},
year = {2016},
volume = {52},
number = {2},
month = {April},
issn = {0023-5954},
pages = {307--328},
numpages = {21},
keywords = {fuzzy random variable; quadratic form; linearly negative quadrant dependence; llaw of large numbers; almost surely convergence},
}
%0 Journal Article
%T Maximal Inequalities and Some Convergence Theorems for Fuzzy Random Variables
%A Ahmadzade, Hamed
%A Amini, Mohammad
%A Seyed Mahmoud Taheri
%A Bozorgnia, Abolghasem
%J Kybernetika
%@ 0023-5954
%D 2016
