The main convergence theorems in probability theory are discussed and stated in the finitely additive case. Motivations for this are given, and technical methods are described, based upon properties of functions having bounded variation, in order to prove that, under mild assumptions, the Central Limit Theorem and the Laws of Large Numbers essentially hold also in this case.
Multidimensional variations and countably additive restrictions
CANDELORO, Domenico
1995
Abstract
The main convergence theorems in probability theory are discussed and stated in the finitely additive case. Motivations for this are given, and technical methods are described, based upon properties of functions having bounded variation, in order to prove that, under mild assumptions, the Central Limit Theorem and the Laws of Large Numbers essentially hold also in this case.File in questo prodotto:
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