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Approximation by bivariate Mazhar-Totik operators

100%

Wachnicki E.

Commentationes Mathematicae

2010

tom 50

nr 2

The aim of this paper is to study a bivariate version of the operator investigated in [2], [4]. We shall present Voronovskaya type theorem and theorems giving a rate of convergence of this operator. Some applications for the limit problem are indicated.

Refined rates of bias convergence for generalized L-Statistics in the i.i.d. case

84%

Anastassiou G. A., Rychlik T.

Applicationes Mathematicae

1999

tom 26

nr 4

437-455

Using tools of approximation theory, we evaluate rates of bias convergence for sequences of generalized L-statistics based on i.i.d. samples under mild smoothness conditions on the weight function and simple moment conditions on the score function. Apart from standard methods of weighting, we introduce and analyze L-statistics with possibly random coefficients defined by means of positive linear functionals acting on the weight function.

Ograniczanie wyników

1 Applicationes Mathematicae

1 Commentationes Mathematicae

1 Anastassiou G. A.

1 Rychlik T.

1 Wachnicki E.

1 2010

1 1999

Wyniki wyszukiwania

Approximation by bivariate Mazhar-Totik operators

Refined rates of bias convergence for generalized L-Statistics in the i.i.d. case