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Central limit results without independence

Adler, Robert J


This thesis is primarily concerned with central limit results for martingales, and the role Lindeberg-type conditions play in them. Two types of results are dealt with, simple one-dimensional central limit theorems and more complex invariance principles for the central limit theorem. Some of our results are more general or slightly different versions of known results, while others, within the context of martingale theory, are completely new.

CollectionsOpen Access Theses
Date published: 1973
Type: Thesis (Masters)


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