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We introduce and study deferred N\"{o}rlund statistical convergence inprobability, mean of order $r,$ distribution, and study the interrelation amongthem. Based upon the proposed method to illustrate the findings, we present newKorovkin type theorems for the sequence of random variables via deferredN\"{o}rlund statistically convergence and present compelling examples todemonstrate the effectiveness of the results.

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