Generalized Confidence Intervals for Zero-Inflated Pareto Distribution

Abstract

This paper considers interval estimations for the mean of Pareto distribution with excess zeros. Three approaches for interval estimation are proposed based on fiducial generalized pivotal quantities (FGPQs), respectively. Simulation studies are performed to assess the performance of the proposed methods, along with three measurements to determine comparisons with competing approaches. The advantages and disadvantages of each method are provided. The methods are illustrated using a real phone call dataset.

Keywords

• zero-inflated Pareto distribution
• fiducial generalized pivotal quantity
• fiducial generalized confidence interval
• coverage probability