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Hsu-Robbins and Spitzer's theorems for the variations of fractional Brownian motion

   
@article{ECP1481,
	author = {Ciprian Tudor},
	title = {Hsu-Robbins and Spitzer's theorems for the variations of fractional Brownian motion},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {14},
	year = {2009},
	keywords = {multiple stochastic integrals, selfsimilar processes, fractional Brownian motion, Hermite processes, limit theorems, Stein's method.},
	abstract = {Using recent results on the behavior of multiple Wiener-Itô integrals based on Stein's method, we prove Hsu-Robbins and Spitzer's theorems for sequences of correlated random variables related to the increments of the fractional Brownian motion.},
	pages = {no. 28, 278-289},
	issn = {1083-589X},
	doi = {10.1214/ECP.v14-1481},    
        url = {http://ecp.ejpecp.org/article/view/1481}}