About the Nonparametric Estimation of the Bernoulli Regression

被引:3
|
作者
Nadaraya, E. [1 ]
Babilua, P. [1 ]
Sokhadze, G. [1 ]
机构
[1] Iv Javakhishvili Tbilisi State Univ, Fac Exact & Nat Sci, GE-0143 Tbilisi, Georgia
关键词
Bernoulli regression; Consistency; Kernel estimation; Uniform convergence; Wiener process; 60F05; 62G05; 62G10; 62G20;
D O I
10.1080/03610926.2011.626550
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 nonparametric estimation of the Bernoulli regression function is studied. The uniform consistency conditions are established and the limit theorems are proved for continuous functionals on C[a, 1-a], 0<a<1/2.
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页码:3989 / 4002
页数:14
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