Estimation of probability characteristics by generalized bernstein polynomials
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 5, Tome 294 (2002), pp. 127-138

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Approximations based on the Bernstein polynomials are used for smoothing a sample quantile function and estimating the underlying distribution and its characteristics. The generalized Bernstein-type polynomials are introduced to reduce the bias of estimation under various types of distributions including finite distributions. The asymptotic behavior of the expectations of these estimators is studied.
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     title = {Estimation of probability characteristics by generalized bernstein polynomials},
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J. W. Lee; G. L. Shevlyakov; N. O. Vilshevskii. Estimation of probability characteristics by generalized bernstein polynomials. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 5, Tome 294 (2002), pp. 127-138. http://geodesic.mathdoc.fr/item/ZNSL_2002_294_a8/