On Burbea–Rao Divergence Based Goodness-of-Fit Tests for Multinomial Models

This paper investigates a new family of statistics based on Burbea–Rao divergence for testing goodness-of-fit. Under the simple and composite null hypotheses the asymptotic distribution of these tests is shown to be chi-squared. For composite hypothesis, the unspecified parameters are estimated by maximum likelihood as well as minimum Burbea–Rao divergence