Limit theorems for non-negative integer-valued random walks with non-localized reflection
Abstract
Laws of Large numbers and Central Limit Theory for non-negative integer-valued random walks with non-localized reflection are established. It is proved that Laws of Large Numbers obtain without any additional conditions, and sufficient conditions are obtained for Central Limit Theory for such processes. The methods used are stochastic comparison and majorization.
Degree
Ph.D.
Advisors
Davis, Purdue University.
Subject Area
Mathematics|Statistics
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