Journal of Mathematics and Statistics

THE RATE FUNCTION OF S-MIXING PROCESS AND ITS APPLICATION IN EVALUATING EMPIRICAL LIKELIHOOD TESTS

Xing Wang

DOI : 10.3844/jmssp.2013.334.338

Journal of Mathematics and Statistics

Volume 9, Issue 4

Pages 334-338

Abstract

In this study we show that the rate function of S-Mixing stationary process with part of the hypermixing condition is equivalent to the Kullback-Leibler distance. This finding can be used to extend the result of the optimality of empirical likelihood test in i.i.d setting to weakly depended case, so that the Asymptotic Relative Efficiency (ARE) of the empirical likelihood test with strong mixing data can be established.

Copyright

© 2013 Xing Wang. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.