On estimation of weighted cumulative residual Tsallis entropy

Recently, weighted cumulative residual Tsallis entropy has been introduced in the literature as a generalization of weighted cumulative residual entropy. We study some new properties of weighted cumulative residual Tsallis entropy measure. Next, we propose some non-parametric estimators of this measure. Asymptotic properties of these estimators are discussed. Performance of these estimators are compared by mean squared error. Non-parametric estimators for weighted cumulative residual entropy measure are also discussed. Two uniformity tests are proposed based on an estimator of these two measures and power of the tests are compared with some popular tests. The tests perform reasonably well.