  The aim of this research is to examine various statistical approximation
properties with respect to Kantorovich \textit{\text{\texthtq}}-Baskakov
operators using wavelets. We discuss and investigate a weighted statistical
approximation employing a Bohman-Korovkin type theorem as well as a statistical
rate of convergence applying a weighted modulus of smoothness
$\omega_{\rho_{\alpha}}$ correlated with the space
$B_{\rho\alpha}(\mathbb{R_{+}})$ and Lipschitz type maximal functions. Both
topics are covered in the article.
