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.

翻译：最近，加权累积残差Tsallis熵作为加权累积残差熵的推广形式被引入文献。我们研究了加权累积残差Tsallis熵度量的一些新性质。随后，我们提出了该度量的若干非参数估计量，并讨论了这些估计量的渐近性质。通过均方误差比较了这些估计量的性能。文中也探讨了加权累积残差熵度量的非参数估计方法。基于这两种度量的估计量，我们提出了两种均匀性检验，并将检验功效与若干常用检验方法进行比较。结果表明，所提出的检验方法具有较好的性能。