Work

Nonparametric estimation of bivariate cumulative distribution function

Year: 2024

Type: article

Abstract: This paper proposes a nonparametric estimation of the cumulative distribution function of bivariate bounded data using the Birnbaum–Saunders kernel. We obtain its asymptotic properties and conduct a numerical study. The results demonstrate the superiority of the proposed estimator over the empirical distribution function and ordinary kernel estimator. We use the proposed estimator to analyse a real data set.

Source: Arabian Journal of Mathematics

DOI: 10.1007/s40065-024-00489-6

Authors: Behzad Mansouri, Azam Rastin, Habib Allah Mombeni

Institution: Shahid Chamran University of Ahvaz

Language: English

Topic: Statistical Distribution Estimation and Applications

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4405037730

FWCI: 1.028

Cites: 16

Cited by: 3

Related to: 10