On the estimation of the Bernoulli regression function using Bernstein polynomials for group observations

被引：0
|
作者：
Babilua, Petre [1 ]
机构：
[1] Ivane Javakhishvili Tbilisi State Univ, Fac Exact & Nat Sci, Dept Math, 13 Univ Str, GE-0186 Tbilisi, Georgia
来源：
GEORGIAN MATHEMATICAL JOURNAL | 2022年 / 29卷 / 03期
关键词：
Bernstein polynomial; Bernoulli regression function; consistency; power of test; group observations;
D O I：
10.1515/gmj-2021-2132
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The estimate for the Bernoulli regression function is constructed using the Bernstein polynomial for group observations. The question of its consistency and asymptotic normality is studied. A testing hypothesis is constructed on the form of the Bernoulli regression function. The consistency of the constructed tests is investigated.
引用
收藏
页码：335 / 341
页数：7
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