On estimating the Bernoulli regression function using Bernstein polynomials. Issue 17 (9th August 2021)

• Record Type: Journal Article
• Authors: Babilua, P. K.; Nadaraya, E. A.
• Is Part Of: Communications in statistics. Volume 50:Issue 17(2021)
• Page Start: 3928
• Page End: 3941
• Publication Date: 2021-08-09
• Subjects: Bernstein polynomial -- Bernoulli regression function -- consistency -- power of test -- one-sided alternatives; 62G10 -- 62G20; Mathematical statistics -- Periodicals; Mathematics; Statistics; 519.2
• DOI: 10.1080/03610926.2019.1709872
• Languages: English
• ISSNs: 0361-0926

Abstract

Abstract: 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.