Theorems Limit With Weight For The Vectorial Martingales To Continuous Time

Details Theorems Limit With Weight For The Vectorial Martingales To Continuous Time Theorems Limit With Weight For The Vectorial Martingales To Continuous Time

2006-03-21

arxiv.org/abs/math/0603492v1

Mathematics

Probability

31 pages

Scientific paper

We develop a general approach of the almost sure central limit theorem for
the quasi-continuous vectorial martingales and we release a quadratic extension
of this theorem while specifying speeds of convergence. As an application of
this result we study the problem of estimate the variance of a process with
stationary and idependent increments in statistics.

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