Geodesic
Maximal inequalities and some convergence theorems for fuzzy random variables
Kybernetika, Tome 52 (2016) no. 2, pp. 307-328.

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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.
DOI : 10.14736/kyb-2016-2-0307
Classification : 60F05, 60F15
Keywords: fuzzy random variable; quadratic form; linearly negative quadrant dependence; law of large numbers; almost surely convergence 
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     title = {Maximal inequalities and some convergence theorems for fuzzy random variables},
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Ahmadzade, Hamed; Amini, Mohammad; Taheri, Seyed Mahmoud; Bozorgnia, Abolghasem. Maximal inequalities and some convergence theorems for fuzzy random variables. Kybernetika, Tome 52 (2016) no. 2, pp. 307-328. doi : 10.14736/kyb-2016-2-0307. http://geodesic.mathdoc.fr/articles/10.14736/kyb-2016-2-0307/

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