Limit theorems for a quadratic variation of Gaussian processes

In the paper a weighted quadratic Girls Hoodies variation based on a sequence of partitions for a class of Gaussian processes is considered.Conditions on the sequence of partitions and the process are established for the quadratic variation to converge almost surely and for a central limit theorem to be true.Also applications to bifractional and sub-fractional Brownian motion File Pedestals and the estimation of their parameters are provided.