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math.ST2020
Nonparametric Asymptotic Distributions of Pianka's and MacArthur-Levins Measures
Tareq Alodat, M. T. Alodat, Dareen Omari
This article studies the asymptotic behaviors of nonparametric estimators of two overlapping measures, namely Pianka's and MacArthur-Levins measures. The plug-in principle and the…
math.PR2020
Reduction principle for functionals of strong-weak dependent vector random fields
Andriy Olenko, Dareen Omari
We prove the reduction principle for asymptotics of functionals of vector random fields with weakly and strongly dependent components. These functionals can be used to construct ne…