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

作者: George Anastassiou , Tomasz Rychlik

DOI: 10.4064/AM-26-4-437-455

关键词:

摘要:

参考文章(31)
Małgorzata Bogdan, Asymptotic distributions οf linear combinations of order statistics Applicationes Mathematicae. ,vol. 22, pp. 201- 225 ,(1994) , 10.4064/AM-22-2-201-225
Z Ditzian, K Ivanov, Bernstein-type operators and their derivatives Journal of Approximation Theory. ,vol. 56, pp. 72- 90 ,(1989) , 10.1016/0021-9045(89)90134-2
Dennis D. Boos, A Differential for $L$-Statistics Annals of Statistics. ,vol. 7, pp. 955- 959 ,(1977) , 10.1214/AOS/1176344781
Vilmos Totik, An interpolation theorem and its applications to positive operators. Pacific Journal of Mathematics. ,vol. 111, pp. 447- 481 ,(1984) , 10.2140/PJM.1984.111.447
David M. Mason, Some Characterizations of Strong Laws for Linear Functions of Order Statistics Annals of Probability. ,vol. 10, pp. 1051- 1057 ,(1982) , 10.1214/AOP/1176993727
Cheun-Der Lea, Madan L. Puri, Asymptotic properties of linear functions of order statistics Journal of Statistical Planning and Inference. ,vol. 18, pp. 203- 223 ,(1988) , 10.1016/0378-3758(88)90006-7
Galen R. Shorack, Functions of Order Statistics Annals of Mathematical Statistics. ,vol. 43, pp. 412- 427 ,(1972) , 10.1214/AOMS/1177692622
H. H. Gonska, J. Meier, Quantitative theorems on approximation by Bernstein-Stancu operators Calcolo. ,vol. 21, pp. 317- 335 ,(1984) , 10.1007/BF02576170
S.D Riemenschneider, The Lp-saturation of the Bernstein-Kantorovitch polynomials☆ Journal of Approximation Theory. ,vol. 23, pp. 158- 162 ,(1978) , 10.1016/0021-9045(78)90102-8