On estimating the Bernoulli regression function using Bernstein polynomials

被引：1

作者：

Babilua, P. K. ^{[1
]}

Nadaraya, E. A. ^{[1
]}

机构：

[1] Iv Javakhishvili Tbilisi State Univ, Fac Exact & Nat Sci, Dept Math, Univ Str 3, Tbilisi 0143, Georgia

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2021年 / 50卷 / 17期

关键词：

Bernstein polynomial; Bernoulli regression function; consistency; power of test; one-sided alternatives;

D O I：

10.1080/03610926.2019.1709872

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

The estimate for the Bernoulli regression function is constructed using the Bernstein polynomial. The question of its consistency and asymptotic normality is studied. Testing hypothesis is constructed on the form of the Bernoulli regression function. Also, the test is constructed for the hypothesis on the equality Bernoulli functions. The question of consistency of the constructed tests is studied.

引用

页码：3928 / 3941

页数：14

共 50 条

[41] A Note on Characteristic Function for Bernstein Polynomials Involving Special Numbers and Polynomials
Simsek, Buket
[J]. FILOMAT, 2020, 34 (02) : 543 - 549
[42] ESTIMATING A REGRESSION FUNCTION
VANDEGEER, S
[J]. ANNALS OF STATISTICS, 1990, 18 (02): : 907 - 924
[43] Identities involving values of Bernstein, q-Bernoulli, and q-Euler polynomials
Bayad, A.
Kim, T.
[J]. RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2011, 18 (02) : 133 - 143
[44] Identities involving values of Bernstein, q-Bernoulli, and q-Euler polynomials
A. Bayad
T. Kim
[J]. Russian Journal of Mathematical Physics, 2011, 18
[45] On the weighted q-Bernstein polynomials associated with the twisted q-Bernoulli numbers
Kim, T.
Lee, B.
Ryoo, C. S.
[J]. JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2012, 14 (05) : 842 - 850
[46] A fuzzy regression approach using Bernstein polynomials for the spreads: Computational aspects and applications to economic models
Roldan Lopez de Hierro, Antonio Francisco
Martinez-Moreno, Juan
Aguilar Pena, Concepcion
Roldan Lopez de Hierro, Concepcion
[J]. MATHEMATICS AND COMPUTERS IN SIMULATION, 2016, 128 : 13 - 25
[47] A Study on the p-Adic Integral Representation on Zp Associated with Bernstein and Bernoulli Polynomials
Jang, Lee-Chae
Kim, Won-Joo
Simsek, Yilmaz
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2010,
[48] Expression for restricted partition function through Bernoulli polynomials
Boris Y. Rubinstein
[J]. The Ramanujan Journal, 2008, 15 : 177 - 185
[49] On the Restricted Partition Function via Determinants with Bernoulli Polynomials
Mircea Cimpoeaş
[J]. Mediterranean Journal of Mathematics, 2020, 17
[50] Expression for restricted partition function through Bernoulli polynomials
Rubinstein, Boris Y.
[J]. RAMANUJAN JOURNAL, 2008, 15 (02): : 177 - 185

← 1 2 3 4 5 →