2024/06/26 by Faranak Goodarzi, Goodarzi, F., Raheleh Zamini +1
Mathematics · #FOS: Mathematics #Point processes and geometric inequalities #Statistics Theory (math.ST)
paper · pdf · doi:10.48550/arxiv.2406.18195
openalex publication_date 2024/06/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we propose nonparametric estimators for varextropy function of an absolutely continuous random variable. Consistency of the estimators is 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 varextropybased test proposed here performs well compared to the power of the other uniformity hypothesis tests.