Two sequences of product probability measures {rr? 1 P .} and {rr? 1 Q .} 1= n1 1= ni are considered. Necessary and sufficient conditions in terms of the marginal distributions P. and Q. are derived for the contiguity of the n1 n1 sequences. Boundedness for n ➔ 00 of the sum of squares of the Hellinger distances of the marginals 1s one of the conditions. By strengthening these conditions one obtains sufficient and (almost) necessary conditions for the asymptotic normality of the log likelihood ratio statistic.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.