Moment Convergence Rate of Elephant Random Walk with Random Step Sizes

Key Points

• The study demonstrates moment convergence in the behavior of an elephant random walk—showing a notable shift in probability distribution over time.
• Key evidence shows that varying step sizes affect convergence rates significantly and consistently across scenarios.
• The analysis of random walk dynamics employs statistical methods to explore convergence, emphasizing the effects of step size variability.
• Findings suggest potential applications in modeling complex systems, although outcomes are based on theoretical constructs.