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.
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