@article {10.3844/jmssp.2021.44.49,
article_type = {journal},
title = {A Suggested Nonparametric Bivariate Logistic Density Estimator with Application on the Productivity of Egyptian Wheat during 2019/2020},
author = {Abo-El-Hadid, Samah M.},
volume = {17},
year = {2021},
month = {May},
pages = {44-49},
doi = {10.3844/jmssp.2021.44.49},
url = {https://thescipub.com/abstract/jmssp.2021.44.49},
abstract = {In this study, the nonparametric standard logistic density estimator, introduced by Abo-El-Hadid (2018), is extended to the bivariate case. The multiplicative standard logistic distribution is used as a kernel function to derive the bivariate kernel estimator. The statistical properties of the resulting estimator are studied, which are: The asymptotic bias, variance, Mean Squared Error (MSE) and Integrated Mean Squared Error (IMSE); also, the optimal bandwidth is obtained. A simulation study is introduced to investigate the performance of the proposed estimator with other estimators. We also apply the proposed estimator to a real data set to estimate the bivariate density of the planted and productive areas of wheat in Egypt.},
journal = {Journal of Mathematics and Statistics},
publisher = {Science Publications}
}