Estimation of distribution and density functions by generalized Bernstein polynomials

被引：0

作者：

Rao, BLSP ^{[1
]}

机构：

[1] Univ Hyderabad, Dept Math & Stat, Hyderabad 500046, Andhra Pradesh, India

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2005年 / 36卷 / 02期

关键词：

generalized Bernstein polynomial; density estimation; estimation of distribution function; bounded support;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

As an application of generalized Bernstein polynomials, we sugest estimators for distribution and probability density functions with bounded support and obtain their asymptotic properties.

引用

页码：63 / 88

页数：26

共 50 条

[21] Least Squares Method of Estimation Using Bernstein Polynomials for Density Estimation
Thongjaem, Piyada
Ghosh, Sujit K.
Budsaba, Kamon
THAILAND STATISTICIAN, 2013, 11 (01): : 45 - 65
[22] Application of generalized Bernstein polynomials in the problem of estimating a distribution function
Vilchevskii, NO
Shevlyakov, TL
THEORY OF PROBABILITY AND ITS APPLICATIONS, 2000, 45 (04) : 718 - 719
[23] Smooth estimation of a distribution and density function on a hypercube using Bernstein polynomials for dependent random vectors
Babu, GJ
Chaubey, YP
STATISTICS & PROBABILITY LETTERS, 2006, 76 (09) : 959 - 969
[24] SUMMABILITY OF GENERALIZED BERNSTEIN POLYNOMIALS
BUTZER, PL
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1954, 60 (04) : 337 - 338
[25] Convergence of generalized Bernstein polynomials
Il'inskii, A
Ostrovska, S
JOURNAL OF APPROXIMATION THEORY, 2002, 116 (01) : 100 - 112
[26] Approximation by generalized Bernstein polynomials
Ding, CM
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2004, 35 (06): : 817 - 826
[27] Analysis and construction of a family of refinable functions based on generalized Bernstein polynomials
Cheng, Ting
Yang, Xiaoyuan
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016,
[28] Analysis and construction of a family of refinable functions based on generalized Bernstein polynomials
Ting Cheng
Xiaoyuan Yang
Journal of Inequalities and Applications, 2016
[29] Convexity and generalized Bernstein polynomials
Goodman, TNT
Oruç, H
Phillips, GM
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 1999, 42 : 179 - 190
[30] THE BERNSTEIN POLYNOMIALS FOR DISCONTINUOUS FUNCTIONS
HERZOG, F
HILL, JD
AMERICAN JOURNAL OF MATHEMATICS, 1946, 68 (01) : 109 - 124

← 1 2 3 4 5 →