Classical and Bayesian goodness-of-fit tests for the exponential model: A comparative study

Abstract

Most common statistical methodologies assume a parametric model for the data and inference is made based on that assumption. If the model does not fit the data, the resulting inference will be mislead. Thus, evaluation of the fitting of a proposed parametric statistical model to a given dataset becomes an important issue. In several practical situations, namely in reliability and life sciences problems, the exponential model has been widely used and several classical tests were already proposed for its fitting evaluation. In this work we suggest two Bayesian tests when an exponential model is proposed to describe the data, and using a simulation study, we compare their power with the classical ones. © 2014 Springer International Publishing.