- Tytuł:
- Refined rates of bias convergence for generalized L-Statistics in the i.i.d. case
- Autorzy:
-
Anastassiou, George
Rychlik, Tomasz - Powiązania:
- https://bibliotekanauki.pl/articles/1338689.pdf
- Data publikacji:
- 1999
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
Bernstein operator
modulus of smoothness
generalized L-statistic
Kantorovich operator
bias
positive linear operator
random weighting
Bernstein-Durrmeyer operator
K-functional
rate of convergence - Opis:
- 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.
- Źródło:
-
Applicationes Mathematicae; 1999, 26, 4; 437-455
1233-7234 - Pojawia się w:
- Applicationes Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł