Testing Equivalence of Multinomial Distributions
Statistics & Probability Letters, Volume 124, May 2017, Pages 77–82.
13 Pages Posted: 30 Jan 2017 Last revised: 30 Sep 2017
Date Written: May 12, 2016
We introduce the smooth total variation distance as a natural choice to establish equivalence. We propose asymptotic and bootstrap-based tests for which asymptotic optimality is shown. The finite sample performance is studied by simulations. Then we apply tests to real data sets.
Keywords: Equivalence, Testing, Multinomial, Bootstrap, Optimality, Benford's Law, Mendelian Inheritance, Decimal Digits of Pi
JEL Classification: C12
Suggested Citation: Suggested Citation