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2016•FilomatOpen access

Negative dependence for fuzzy random variables: Basic definitions and some limit theorems

Hamed Ahmadzade, Mohammad Amini, S. M. Taheri, A. Bozorgnia

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Abstract

The concept of negative dependence for fuzzy random variables is introduced. The basic properties of such random variables are investigated. Some results on weak and strong convergence for sums and weighted sums of pairwise negatively dependent fuzzy random variables are derived. As a direct extension of classical methods, some limit theorems are established based on the concept of variance and covariance.

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The concept of negative dependence for fuzzy random variables is introduced. The basic properties of such random variables are investigated. Some results on weak and strong convergence for sums and weighted sums of pairwise negatively dependent fuzzy random variables are derived. As a direct extension of classical methods, some limit theorems are established based on the concept of variance and covariance.

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Available abstract

The concept of negative dependence for fuzzy random variables is introduced. The basic properties of such random variables are investigated. Some results on weak and strong convergence for sums and weighted sums of pairwise negatively dependent fuzzy random variables are derived. As a direct extension of classical methods, some limit theorems are established based on the concept of variance and covariance.

Key concepts: Mathematics, Convergence of random variables, Covariance, Random variable, Limit (mathematics), Exchangeable random variables, Central limit theorem, Pairwise comparison

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