Some Properties of Deferred Nörlund I-Statistical Convergence in Probability, Mean, and Distribution for Sequences of Random Variables

Abstract

This paper investigates the concept of deferred Nörlund I -statistical convergence in probability, mean of order r, distribution, and explores the relationships among these notions. We present a novel approach to deferred Nörlund I-statistical convergence, which allows for a deeper understanding of the convergence behavior in various contexts. We examine the convergence properties in terms of probability, mean of order r, and distribution, providing a comprehensive analysis of their interdependencies. Our findings contribute to the field of statistical convergence theory, shedding light on the deferred Nörlund I-statistical convergence and its connections with probability, mean of order r, and distribution.