Title
Sieve Bootstrap Prediction Intervals for Contamined BIP-ARMA Processes
Abstract
In this paper we present the construction of prediction intervals for time series based on the sieve bootstrap technique, which does not require the distributional assumption of normality that most parametric techniques impose. The construction of prediction intervals in the presence of innovation outliers does not have distributional robustness, leading to undesirable increase in the length of the prediction interval. In the analysis of financial time series it is common to have irregular observations that have different types of isolated and group outliers. For this reason we propose the construction of prediction intervals based in the winzorised residuals and bootstrap techniques for time series. The algorithm used for the construction of prediction interval is based in the AR-sieve bootstrap technique for non-parametric linear models. This method is compared using a Monte Carlo study with other proposal recently published in the literature obtaining favorable results in terms of a metric based in the interval length and coverage.
Year
DOI
Venue
2012
10.1109/SCCC.2012.37
SCCC
Keywords
Field
DocType
parametric technique,time series,prediction interval,ar-sieve bootstrap technique,sieve bootstrap prediction intervals,distributional assumption,sieve bootstrap technique,bootstrap technique,interval length,distributional robustness,financial time series,contamined bip-arma processes,monte carlo methods
Monte Carlo method,Computer science,Linear model,Outlier,Robustness (computer science),Prediction interval,Parametric statistics,Artificial intelligence,Statistics,Sieve,Bootstrapping (electronics),Machine learning
Conference
ISSN
Citations 
PageRank 
1522-4902
0
0.34
References 
Authors
0
2
Name
Order
Citations
PageRank
Gustavo Ulloa111.45
Héctor Allende214831.69