Nonparametric bivariate distribution estimation using Bernstein polynomials under right censoring

• Published in: Communications in statistics. Theory and methods Vol. 50; no. 23; pp. 5574 - 5584
• Main Authors: Dib, K., Bouezmarni, T., Belalia, M., Kitouni, A.
• Format: Journal Article
• Language: English
• Published: Philadelphia Taylor & Francis 02.12.2021; Taylor & Francis Ltd
• Subjects: Asymptotic properties; Bernstein polynomials; Bivariate analysis; bivariate distribution function; Distribution functions; Mathematical analysis; non parametric estimation; Nonparametric statistics; Normality; Parameter estimation; Polynomials; Random variables; right censoring
• ISSN: 0361-0926; 1532-415X
• DOI: 10.1080/03610926.2020.1734832

The paper deals with non parametric estimation of the joint distribution function of two random variables X and Y. Especially, we consider the case when one of the two variables, says Y, is subject to right censoring. The newly proposed estimator is built using Bernstein polynomials. The asymptotic...