65th ISI World Statistics Congress 2025

65th ISI World Statistics Congress 2025

Application Of The Central Limit Theorem In The Pareto Distribution: A Simulation Approach

Conference

65th ISI World Statistics Congress 2025

Format: CPS Abstract - WSC 2025

Session: CPS 39 - Statistical Theory

Monday 6 October 5:10 p.m. - 6:10 p.m. (Europe/Amsterdam)

Session: CPS 1 - Statistical Theory

Tuesday 7 October 4 p.m. - 5 p.m. (Europe/Amsterdam)

Abstract

The Central Limit Theorem states that the sampling distribution of the sample mean, for a large or infinite population, is approximately normally distributed.In this paper, we apply the Central Limit Theorem to the Pareto Distribution by simulation.We simulate for sample sizes of n=30,50,100 and 150.The results show that the sampling distribution of the sample means of the Pareto Distribution is approximately normal by the Kolmogorov-Smirnov Test.Moreover, histograms with the normal curve plot are being exhibited.