Generalized Confidence Intervals for Zero-Inflated Pareto Distribution

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.

Automated summary

This paper investigates interval estimations for the mean of Pareto distribution with excess zeros, proposing three approaches based on fiducial generalized pivotal quantities (FGPQs). Simulation studies are conducted to evaluate the performance of the methods and compare them with other approaches, providing an analysis of their advantages and disadvantages. The methods are applied to a real phone call dataset for illustration.