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On Zhao-Woodroofe's condition for martingale approximation

  
@article{ECP2780,
	author = {Jana Klicnarova and Dalibor Volny},
	title = {On Zhao-Woodroofe's condition for martingale approximation},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {18},
	year = {2013},
	keywords = {stationary process; martingale approximation; nonadapted version},
	abstract = {The Zhao-Woodroofe condition is a necessary and sufficient condition for the existence of a martingale approximation of a causal stationary process. Here, a nonadapted version is given and the convergence of Cesaro averages is replaced by a convergence of a subsequence. The nonadapted version is of a different form than in other cases, e.g. of Wu-Woodroofe or Maxwell-Woodroofe conditions.},
	pages = {no. 36, 1-8},
	issn = {1083-589X},
	doi = {10.1214/ECP.v18-2780},    
        url = {http://ecp.ejpecp.org/article/view/2780}}