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

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