Estimation of probability characteristics by generalized Bernstein polynomials |
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Authors: | Jae Won Lee G L Shevlyakov N O Vilchevsky |
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Institution: | (1) Kumi, Korea;(2) St.Petersburg State Technical University, St.Petersburg |
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Abstract: | Approximations based on Bernstein polynomials are used for smoothing a sample quantile function and estimating the underlying distribution and its characteristics. 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. Bibliography: 10 titles.Published in Zapiski Nauchnykh Seminarov POMI, Vol. 294, 2002, pp. 127–138. |
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