Deferred Norlund statistical convergence in probability, mean and distribution for sequences of random variables

Abstract

We introduce and study deferred Nörlund statistical convergence in probability, mean of order $r,$ distribution, and study the interrelation among them. Based upon the proposed method to illustrate the findings, we present new Korovkin type theorems for the sequence of random variables via deferred Nörlund statistically convergence and present compelling examples to demonstrate the effectiveness of the results.