Estimation of Log-Pearson Type III Distribution Using Percentile Roots: ATM Transactions Over 24 Years in Saudi Arabia as a Case Study | ||||
| Alfarama Journal of Basic & Applied Sciences | ||||
| Article 9, Volume 4, Issue 3, July 2023, Page 485-494 PDF (1.19 MB) | ||||
| Document Type: Original Article | ||||
| DOI: 10.21608/ajbas.2023.165619.1127 | ||||
 View on SCiNiTO | ||||
| Authors | ||||
Mohammed El Genidy   1; Wesal Megahed2; Khaled Mahfouz1
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| 1Department of Mathematics and Computer Science, Faculty of Science, Port Said University, Port Said, Egypt | ||||
| 2Department of Basic Science, Obour Higher Institute for Management Informatics, Egypt | ||||
| Abstract | ||||
| Estimation methods of three-parameter distributions are essential in data-fitting distributions. In this paper, an application to a simple estimation method named Percentile Root (PR) was presented with ATM transactions as a case study. The PR method was applied to the probability distribution Log-Pearson type III distribution. The statistical properties of the distribution are exploited by PR to obtain the estimated parameters, ensuring the efficiency of the method. The Anderson-Darling and Kolmogorov-Smirnov test were performed on the results of PR method. The significant results ofPR method are compared with Maximum Likelihood Estimation (MLE), and it is clear that the PR method is simple in coding by a computer and provides precise results. The point is highly beneficial to applications of economic and commercial sciences. The Log-Pearson type III distribution was used by PR method and fitted to the ATM data set to overcome the problems of predicting the prospect numbers of financial transactions in banks. | ||||
| Keywords | ||||
| Anderson-Darling Test; ATM Transactions; Log-Pearson Type III; Percentile Roots | ||||
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