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On the asymptotic properties of the Bernstein estimator of the multivariate distribution function

Article ID Journal Published Year Pages File Type
7549259 Statistics & Probability Letters 2016 16 Pages PDF
Abstract
The purpose of this paper is to study the asymptotic properties of Bernstein estimator of the multivariate distribution function, such as asymptotic bias, variance and asymptotic normality. Besides, we give the optimal choice of the polynomial order in terms of MSEs.
Keywords
Distribution functionmean squared errorAsymptotic propertiesBernstein polynomials
Related Topics
Physical Sciences and Engineering Mathematics Statistics and Probability
Preview
On the asymptotic properties of the Bernstein estimator of the multivariate distribution function
Authors
Mohamed Belalia,
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Journal
Statistics & Probability Letters
Journal: Statistics & Probability Letters
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mean squared error
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