A novel parametric predictive bootstrap method

Abstract.: Bootstrap methods are widely used statistical techniques known for their simplicity and good properties. This paper introduces a novel bootstrap method called the parametric predictive bootstrap (PP-B), which relies on parametric models and is designed for predictive inference. The PP-B method is evaluated in various scenarios and typically used with other bootstrap methods to assess its performance in estimation and prediction inference. Comparisons of PP-B with other bootstrap methods are made in terms of the coverage probabilities of confidence and prediction intervals. Simulation results indicate that PP-B excels in predictive inference due to its explicitly predictive nature.