Rates of clustering in the Strassen law for random polygons
The authors investigate the rate of convergence in Strassen's functional law of the iterated logarithm. For the continuous version of the partial sum process obtained by linearization a moment condition is shown to be necessary and sufficient for the convergence rate being a power \(\beta<2/3\) of \(\log\log n\). In the limiting case (\(\beta=2/3\)) additional conditions on the tail behaviour are required.
scientific article; zbMATH DE number 1300649
scientific article