Jackknife empirical likelihood ratio test for logistic distribution using fixed point characterization

Abstract

Tests for the goodness of fit of logistic distribution have received much attention in the literature as it is widely used in many studies related to bio-assay, population growth, etc. In this paper, we propose a method to test whether the data comes from a logistic distribution or not. We derive the asymptotic distribution of the test statistic. Also, we develop a test based on Jackknife Empirical Likelihood (JEL). The finite sample performance of the JEL ratio test is evaluated through Monte Carlo simulation. We illustrate the proposed method using a real data set.