THE MODIFIED RANDOM WALK DISTRIBUTION

Abstract

This study presents a modification to a two-parameter distribution, yielding a discrete distribution termed the modified random walk distribution. This modification is derived from the random walk distribution and falls within the family of Lagrangian probability distributions. Comprehensive investigations are conducted on both the random walk distribution and its modified counterpart to discern and analyze their respective properties. Furthermore, a recursive formula for generating probabilities associated with this distribution is proposed. This research contributes to the understanding of the random walk distribution and provides insights into the implications of its modification.