A review of nonparametric research on cumulative distribution function estimation

B Mansouri, R Chinipardaz, SAS Al-Farttosi… - Journal of the Indian …, 2024 - Springer
This paper intends to review non-parametric studies on estimating the cumulative
distribution function (CDF) of a random variable. Research in this field has mostly utilized …

Nonparametric estimation of bivariate cumulative distribution function

B Mansouri, A Rastin, HA Mombeni - Arabian Journal of Mathematics, 2024 - Springer
This paper proposes a nonparametric estimation of the cumulative distribution function of
bivariate bounded data using the Birnbaum–Saunders kernel. We obtain its asymptotic …

Beta Kernel Estimator for a Cumulative Distribution Function with Bounded Support

B Mansouri, A Rastin, HA Mombeni - Journal of Sciences, Islamic …, 2023 - jsciences.ut.ac.ir
Kernel estimation of the cumulative distribution function (CDF), when the support of the data
is bounded, suffers from bias at the boundaries. To solve this problem, we introduce a new …

Statistical analysis and estimation of the cumulative distribution function of COVID-19 cure duration in Iraq

B Mansouri, SAS Al-Farttosi, H Mombeni… - Journal of Statistics …, 2022 - Taylor & Francis
COVID-19 disease has aggressively affected all aspects of human life since late 2019.
Hospital staff have been under unprecedented pressure from a large number of patients …