  Our main aim is to investigate the approximation properties for the summation
integral type operators in a statistical sense. In this regard, we prove the
statistical convergence theorem using well known Korovkin theorem and the
degree of approximation is determined. Also using weight function, the weighted
statistical convergence theorem with the help of Korovkin theorem is obtained.
The statistical rate of convergence in the terms of modulus of continuity and
function belonging to the Lipschitz class is obtained. To support the
convergence results of the proposed operators to the function, graphical
representations take place and a comparison is shown with
Sz\'asz-Mirakjan-Kantorovich operators through examples. The last section deals
with, a bivariate extension of the proposed operators to study the rate of
convergence for the function of two variables, additionally, the convergence of
the bivariate operators is shown graphically.
