Since Efron's profound paper on the bootstrap, an enormous amount of effort has been spent on the development of bootstrap, jacknife, and other resampling methods. The primary goal of these computer-intensive methods has been to provide statistical tools that work in complex situations without imposing unrealistic or unverifiable assumptions about the data generating mechanism. The primary goal of this book is to lay some of the foundation for subsampling methodology and related methods.
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Author(s): Dimitris N. Politis ; Joseph P. Romano ; Michael Wolf
Year: 1999
Language: English
Tags: Resampling ; Subsampling
1.Front Matter
Pages i-xv
2.Basic Theory
1.Front Matter
Pages 1-1
2. Bootstrap Sampling Distributions
Dimitris N. Politis, Joseph P. Romano, Michael Wolf
Pages 3-38
3. Subsampling in the I.I.D. Case
Dimitris N. Politis, Joseph P. Romano, Michael Wolf
Pages 39-64
4. Subsampling for Stationary Time Series
Dimitris N. Politis, Joseph P. Romano, Michael Wolf
Pages 65-100
5. Subsampling for Nonstationary Time Series
Dimitris N. Politis, Joseph P. Romano, Michael Wolf
Pages 101-119
6. Subsampling for Random Fields
Dimitris N. Politis, Joseph P. Romano, Michael Wolf
Pages 120-137
7. Subsampling Marked Point Processes
Dimitris N. Politis, Joseph P. Romano, Michael Wolf
Pages 138-158
8. Confidence Sets for General Parameters
Dimitris N. Politis, Joseph P. Romano, Michael Wolf
Pages 159-170
3.Extensions, Practical Issues, and Applications
1.Front Matter
Pages 171-171
2. Subsampling with Unknown Convergence Rate
â—¾Dimitris N. Politis, Joseph P. Romano, Michael Wolf
Pages 173-187
3. Choice of the Block Size
Dimitris N. Politis, Joseph P. Romano, Michael Wolf
Pages 188-212
4. Extrapolation, Interpolation, and Higher-Order Accuracy
Dimitris N. Politis, Joseph P. Romano, Michael Wolf
Pages 213-252
5. Subsampling the Mean with Heavy Tails
Dimitris N. Politis, Joseph P. Romano, Michael Wolf
Pages 253-269
6. Subsampling the Autoregressive Parameter
Dimitris N. Politis, Joseph P. Romano, Michael Wolf
Pages 270-290
7. Subsampling Stock Returns
Dimitris N. Politis, Joseph P. Romano, Michael Wolf
Pages 291-314
4.Back Matter
Pages 315-348