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Estimation Of conditional residual entropy in the α-mixing functional data.

Fatima Akkal, El Hadj Hamel, Abbes Rabhi

Abstract



The residual entropy function introduced is viewed as a dynamic measure of uncertainty. This measure find applications in modeling and analysis of life time data. Our main objective is the nonparametric estimation of the residual entropy function with functional covariate. Some asymptotic properties of this estimator are established under suitable regularity conditions.

Keywords


Conditional residual entropy function, functional random variable, kernel estimator, strong mixing processes, Residual entropy function, residual life.

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