Limit theorems for a quadratic variation of Gaussian processes
Limit theorems for a quadratic variation of Gaussian processes
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In the paper a weighted quadratic variation based on a sequence of partitions for a class of Gaussian processes is considered.Conditions on the sequence of Dryer Idler Pulley partitions and the process are established for the quadratic variation to converge almost surely and for a central limit theorem Hair Styling Tools to be true.Also applications to bifractional and sub-fractional Brownian motion and the estimation of their parameters are provided.
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