{"id":{"repo_id":"odu","oai_identifier":"oai:digitalcommons.odu.edu:mathstat_etds-1102"},"canonical_url":"https://search.dev.ndltd.org/etd/odu/oai:digitalcommons.odu.edu:mathstat_etds-1102","repository":{"repo_id":"odu","name":"Old Dominion University","base_url":"https://digitalcommons.odu.edu/do/oai/"},"display":{"title":"Large Deviation Local Limit Theorems for Ratio Statistics","abstract":"

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.

","abstract_html":"<p>Let {T„, n > 1} be an arbitrary sequence of non-lattice random variables and {S<sub>n</sub>, n > 1} be another sequence of positive non-lattice random variables. Let the two sequences be independent. Let Ø<sub>1n</sub> and Ø<sub>2n</sub> be the moment genereating functions of {Tn, n > 1} and { S<sub>n</sub>,n > 1} respectively. Let {a<sub>n</sub>} be a sequence of real numbers such that a<sub>n</sub> —»• oo.</p>","abstract_has_math":false,"creators":["Sabnis, Sanjeev V."],"institution":null,"degree_name":"Doctor of Philosophy (PhD)","degree_level":"Dissertation","degree_discipline":"Mathematics & Statistics","degree_department":null,"school":null,"contributors":["N. R. Chaganty","Ram C. Dahiya","John P. Morgan","Edward P. Markowski"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1987,"date_issued":"1987-07-01T07:00:00Z","date_published":"1987-07-01T07:00:00Z","updated_at":"2026-07-24T03:35:23Z","subjects":["Ratio statistics","Non-lattice random variables","Limit theorems","Applied Statistics","Probability"],"languages":[],"rights":["

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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.

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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.

"],"dc:identifier":["https://digitalcommons.odu.edu/mathstat_etds/104"],"dc:rights":["

In Copyright. URI: http://rightsstatements.org/vocab/InC/1.0/ This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s).

"],"dc:subject":["Ratio statistics","Non-lattice random variables","Limit theorems","Applied Statistics","Probability"],"dc:title":["Large Deviation Local Limit Theorems for Ratio Statistics"],"thesis:degree_discipline":["Mathematics & Statistics"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Doctor of Philosophy (PhD)"]},"updated_at":"2026-07-24T03:35:23Z"}