2019Journal of Intelligent & Fuzzy SystemsRequires access

Covariance and Pseudo-Covariance of Complex Uncertain Variables

Rong Gao, Hamed Ahmadzade, M. Naser Esfahani

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Abstract

Covariance is a measure to characterize the joint variability of two complex uncertain variables. Since, calculating covariance is not easy based on uncertain measure, we present two formulas for covariance and pseudo covariance of complex uncertain variables. For calculating the covariance of complex uncertain variables, some theorems are proved and several formulas are provided by using the inverse uncertainty distribution. The main results are explained by using several examples.

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What this paper is about

Covariance is a measure to characterize the joint variability of two complex uncertain variables. Since, calculating covariance is not easy based on uncertain measure, we present two formulas for covariance and pseudo covariance of complex uncertain variables. For calculating the covariance of complex uncertain variables, some theorems are proved and several formulas are provided by using the inverse uncertainty distribution. The main results are explained by using several examples.

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Available abstract

Covariance is a measure to characterize the joint variability of two complex uncertain variables. Since, calculating covariance is not easy based on uncertain measure, we present two formulas for covariance and pseudo covariance of complex uncertain variables. For calculating the covariance of complex uncertain variables, some theorems are proved and several formulas are provided by using the inverse uncertainty distribution. The main results are explained by using several examples.

Key concepts: Covariance, Covariance intersection, Rational quadratic covariance function, Matérn covariance function, Law of total covariance, Estimation of covariance matrices, Measure (data warehouse), Covariance function

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