Simulation Studies of a Holder Perturbation in a New Estimator for Proportion Considering Extra-Binomial Variability

Abstract

This present work aims to propose an estimator in order to estimate the probability of success of a binomial model that incorporates the extra-binomial variation generated by zero-inated samples. The construction of this estimator was carried out with a theoretical basis given by the Holder function and its performance was evaluated through Monte Carlo simulation considering dierent sample sizes, parametric values (), and excess of zero proportions ( ). It was concluded that for the situations in ( = 0.20) and ( = 0.50) that the proposed estimator presents promising results based on the specied margin of error.