Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 5, Tome 294 (2002), pp. 127-138
Citer cet article
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/
@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},
year = {2002},
volume = {294},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2002_294_a8/}
}
TY - JOUR
AU - J. W. Lee
AU - G. L. Shevlyakov
AU - N. O. Vilshevskii
TI - Estimation of probability characteristics by generalized bernstein polynomials
JO - Zapiski Nauchnykh Seminarov POMI
PY - 2002
SP - 127
EP - 138
VL - 294
UR - http://geodesic.mathdoc.fr/item/ZNSL_2002_294_a8/
LA - en
ID - ZNSL_2002_294_a8
ER -
%0 Journal Article
%A J. W. Lee
%A G. L. Shevlyakov
%A N. O. Vilshevskii
%T Estimation of probability characteristics by generalized bernstein polynomials
%J Zapiski Nauchnykh Seminarov POMI
%D 2002
%P 127-138
%V 294
%U http://geodesic.mathdoc.fr/item/ZNSL_2002_294_a8/
%G en
%F ZNSL_2002_294_a8
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.
