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About the Nonparametric Estimation of the Bernoulli Regression
Authors:E Nadaraya  P Babilua  G Sokhadze
Institution:1. Faculty of Exact and Natural Sciences , Iv. Javakhishvili Tbilisi State University , Tbilisi , Georgia elizbar.nadaraya@tsu.ge;3. Faculty of Exact and Natural Sciences , Iv. Javakhishvili Tbilisi State University , Tbilisi , Georgia
Abstract: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 Ca, 1 ? a], 0 < a < 1/2.
Keywords:Bernoulli regression  Consistency  Kernel estimation  Uniform convergence  Wiener process
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