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A note on the invariance principle of the product of sums of random variables

   
@article{ECP1255,
	author = {Wei Huang and Li-Xin Zhang},
	title = {A note on the invariance principle of the product of sums of random variables},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {12},
	year = {2007},
	keywords = {product of sums of r.v.; central limit theorem; invariance of principle},
	abstract = {The central limit theorem for the product of sums of various random variables has been studied in a variety of settings. The purpose of this note is to show that this kind of result is a corollary of the invariance principle.},
	pages = {no. 6, 51-56},
	issn = {1083-589X},
	doi = {10.1214/ECP.v12-1255},    
        url = {http://ecp.ejpecp.org/article/view/1255}}