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

## DOI:

https://doi.org/10.56405/dngcrj.2023.08.01.05## Keywords:

Probability convergence, Deferred Nörlund mean convergence, Distribution convergence, Statistical convergence## 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.

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*Dera Natung Government College Research Journal*,

*8*(1), 67–80. https://doi.org/10.56405/dngcrj.2023.08.01.05

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