Title
Sequential Prediction of Unbounded Stationary Time Series
Abstract
A simple on-line procedure is considered for the prediction of a real-valued sequence. The algorithm is based on a combination of several simple predictors. If the sequence is a realization of an unbounded stationary and ergodic random process then the average of squared errors converges, almost surely, to that of the optimum, given by the Bayes predictor. An analog result is offered for the classification of binary processes
Year
DOI
Venue
2007
10.1109/TIT.2007.894660
IEEE Transactions on Information Theory
Keywords
Field
DocType
Bayes methods,binary sequences,pattern classification,prediction theory,random processes,time series,Bayes predictor,binary process,ergodic random process,real-valued sequential prediction,stationary time series,On-line learning,pattern recognition,sequential prediction,time series,universal consistency
Applied mathematics,Discrete mathematics,Ergodicity,Ergodic process,Ergodic theory,Stochastic process,Almost surely,Stationary sequence,Statistics,Mathematics,Bayes' theorem,Binary number
Journal
Volume
Issue
ISSN
53
5
0018-9448
Citations 
PageRank 
References 
14
1.09
9
Authors
2
Name
Order
Citations
PageRank
László Györfi1172.86
Ottucsak, G.2141.09