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.
@article{ZNSL_2002_294_a8,
author = {J. W. Lee and G. L. Shevlyakov and N. O. Vilshevskii},
title = {Estimation of probability characteristics by generalized bernstein polynomials},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {127--138},
publisher = {mathdoc},
volume = {294},
year = {2002},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2002_294_a8/}
}
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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/