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

Mohamed Belalia

Statistics & Probability Letters, 2016, vol. 110, issue C, 249-256

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 function; Bernstein polynomials; Asymptotic properties; Mean squared error (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (6)

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DOI: 10.1016/j.spl.2015.10.004

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