CONVOLUTIONS OF POLYNOMIAL KERNELS

被引:0
作者
Zelinka, Jiri [1 ]
机构
[1] Masaryk Univ, Fac Sci, Dept Math & Stat, Kotlarska 2, CS-61137 Brno, Czech Republic
关键词
kernel estimate of density; convolution;
D O I
10.1515/ms-2015-0176
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Kernel estimates are an integral part of non-parametric statistics. Convolutions of the kernels can be found in some expressions describing properties of kernel estimates. This paper presents the exact construction of convolutions of polynomial kernels and their properties. (C) 2016 Mathematical Institute Slovak Academy of Sciences
引用
收藏
页码:745 / 756
页数:12
相关论文
共 50 条
  • [41] Convolutions of Normalized Harmonic Mappings
    Stacey Muir
    Computational Methods and Function Theory, 2019, 19 : 583 - 599
  • [42] Asymptotic behavior of generalized convolutions
    D. Li
    Ya. G. Sinai
    Regular and Chaotic Dynamics, 2009, 14 : 248 - 262
  • [43] CONVOLUTIONS OF GENERALIZED WHITE NOISE FUNCTIONALS
    Ji, Un Cig
    Kim, Young Yi
    Park, Yoon Jung
    PROBABILITY AND MATHEMATICAL STATISTICS-POLAND, 2013, 33 (02): : 435 - 450
  • [44] CONSTRUCTION OF UNIVALENT HARMONIC MAPPINGS AND THEIR CONVOLUTIONS
    Singla, Chinu
    Gupta, Singh
    Singh, Sukhjit
    MATEMATICKI VESNIK, 2024, 76 (03): : 174 - 184
  • [45] Necklaces, Convolutions, and X plus Y
    Bremner, David
    Chan, Timothy M.
    Demaine, Erik D.
    Erickson, Jeff
    Hurtado, Ferran
    Iacono, John
    Langerman, Stefan
    Patrascu, Mihai
    Taslakian, Perouz
    ALGORITHMICA, 2014, 69 (02) : 294 - 314
  • [46] New Convolutions with Hermite Weight Functions
    Luís Pinheiro Castro
    Anabela Sousa Silva
    Nguyen Minh Tuan
    Bulletin of the Iranian Mathematical Society, 2021, 47 : 365 - 379
  • [47] INEQUALITIES ON CONVOLUTIONS AND THEIR APPLICATION IN ACCEPTANCE SAMPLING
    SEIDEL, W
    OR SPEKTRUM, 1991, 13 (03) : 153 - 157
  • [49] Semispectral measures as convolutions and their moment operators
    Kiukas, Jukka
    Lahti, Pekka
    Ylinen, Kari
    JOURNAL OF MATHEMATICAL PHYSICS, 2008, 49 (11)
  • [50] NORM INEQUALITIES FOR NEW CONVOLUTIONS AND THEIR APPLICATIONS
    Dinh Thanh Duc
    Nguyen Du Vi Nhan
    APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2015, 9 (01) : 168 - 179