|Friday, February 21|
|CS06 Algorithmic Data Analyses||
Fri, Feb 21, 11:00 AM - 12:30 PM
Bootstrapping Time Series Data (302743)*Paul Teetor, Quant Development LLC
Keywords: bootstrap, time series, R
The bootstrap is a powerful technique for estimating statistical parameters from sampled data. Applying the bootstrap to time series data presents unique problems, however, and requires specialized techniques. The central problem is that most time series data contains some correlation structure -- weak or strong, known or unknown. The bootstrapping algorithm must honor that structure. A naive bootstrap does not but, fortunately, there are several alternative algorithms which can preserve and explore the structure.
This presentation will explain and demonstrate bootstrapping algorithms for time series data. Topics will include
- Review of bootstrapping concepts and basic algorithms.
- Special issues in bootstrapping time series data.
- The naive bootstrap algorithm.
- The block resampling algorithm.
- Bootstrapping parametric models and hierarchical models of time series data.
- The maximum entropy bootstrap.
- Bootstrapping for seasonal data.
All concepts will be illustrated with R code and graphical plots, using real-life data where possible.