Hall, Peter Gavin
A central limit theorem for martingales was considered as early
as 1935» when Paul Levy established several results. However, it is
only since the 1960's that the field has received much attention, and
some of the most important work was published by Erown  in 1971.
In this dissertation we take a critical look at the present situation of
martingale central limit theory. We change the form of the classical
central limit problem and show that in this new form it has a solution
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