Simulation studies of a hölder 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-inflated 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 different sample sizes, parametric values (π), and excess of zero proportions (γ). It was concluded that for the situations in (γ = 0.20) and (γ = 0.50) that the proposed estimator presents promising results based on the specified margin of error.