  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.
