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Large Deviation Local Limit Theorems For Ratio Statistics, Sanjeev V. Sabnis
Large Deviation Local Limit Theorems For Ratio Statistics, Sanjeev V. Sabnis
Mathematics & Statistics Theses & Dissertations
Let {T„, n > 1} be an arbitrary sequence of non-lattice random variables and {Sn, n > 1} be another sequence of positive non-lattice random variables. Let the two sequences be independent. Let Ø1n and Ø2n be the moment genereating functions of {Tn, n > 1} and { Sn,n > 1} respectively. Let {an} be a sequence of real numbers such that an —»• oo.