New Estimations for Varextropy under Complete Data and Uniformity Testing
نویسندگان
1 Department of Mathematics, Faculty of Mathematical Sciences and Computer, Kharazmi University, Tehran, Iran.
2 Faculty of Mathematics, Department of Statistics, University of Kashan
doi
10.22034/jirss.2025.2049691.1092چکیده
Recently Alizadeh Noughabi and Shafaei Noughabi (2024) introduced some estimators for the varextropy of an absolutely continuous random variable. In this paper, we propose other nonparametric estimators for the varextropy function. Additionally, we prove asymptotic properties of two estimators given in Alizadeh Noughabiand Shafaei Noughabi (2024). Asymptotic properties of the proposed estimators are established under suitable regularity conditions. Moreover, a simulation study is performed to compare the performance of the proposed estimators based on mean squared error (MSE) and bias. Furthermore, by using the proposed estimators some tests are constructed for uniformity. It is shown that the varextropy-based test proposed in this paper performs well in terms of power when compared to other uniformity hypothesis tests. Real datasets are utilized to evaluate the performance of the varextropy estimators.
