Comparative Analysis of Scaling Parameter Estimation for the Lindley Distribution in Wait Time Analysis: Simulated and Real Data Applications

Abstract

This research focuses on estimating the scale parameter for the Lindley distribution using various methods, including Maximum Likelihood, least squares, and Linear Quantile-Moment. These methods were employed to identify the most effective approach for estimating the distributional parameters. To determine the optimal parameter estimation approach, a comparison was conducted among these estimators based on the mean square error (MSE) criteria, which involved different simulation experiments. The results demonstrated the superiority of Maximum Likelihood estimation across all sample sizes. The best estimator was then utilized to study and analyze the waiting time for Zanko Bank/University of Duhok.