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Weak Convergence for the Row Sums of a Triangular Array of Empirical Processes Indexed by a Manageable Triangular Array of Functions

   
@article{EJP44,
	author = {Miguel Arcones},
	title = {Weak Convergence for the Row Sums of a Triangular Array of Empirical Processes Indexed by a Manageable Triangular Array of Functions},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {4},
	year = {1999},
	keywords = {Empirical processes, triangular arrays,  manageable classes.},
	abstract = {We study the weak convergence for the row  sums of a general triangular array of empirical processes indexed  by a manageable class of functions converging to an arbitrary limit.  As particular cases, we consider random series processes and normalized  sums of i.i.d. random processes with Gaussian and stable limits. An  application to linear regression is presented. In this application, the  limit of the row sum of a triangular array of empirical process is the  mixture of a Gaussian process with a random series process.},
	pages = {no. 7, 1-17},
	issn = {1083-6489},
	doi = {10.1214/EJP.v4-44},    
        url = {http://ejp.ejpecp.org/article/view/44}}