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| 12 | +<title>Resampling Techniques, Bootstrap and Blocking</title> |
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| 14 | +<!-- doconce format html week9.do.txt --html_style=bootstrap --pygments_html_style=default --html_admon=bootstrap_panel --html_output=week9-bs --no_mako --> |
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| 38 | +{'highest level': 2, |
| 39 | + 'sections': [('Overview of week March 16-20, 2025', |
| 40 | + 2, |
| 41 | + None, |
| 42 | + 'overview-of-week-march-16-20-2025'), |
| 43 | + ('Why resampling methods ?', 2, None, 'why-resampling-methods'), |
| 44 | + ('Statistical analysis', 2, None, 'statistical-analysis'), |
| 45 | + ('And why do we use such methods?', |
| 46 | + 2, |
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| 49 | + ('Central limit theorem, reminder from last week', |
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| 52 | + 'central-limit-theorem-reminder-from-last-week'), |
| 53 | + ('Further remarks', 2, None, 'further-remarks'), |
| 54 | + ('Statistics, more technicalities', |
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| 68 | + ('Statistics, more on computations of errors', |
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| 71 | + 'statistics-more-on-computations-of-errors'), |
| 72 | + ('Statistics, wrapping up 1', |
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| 76 | + ('Statistics, final expression', |
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| 80 | + ('Statistics, effective number of correlations', |
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| 84 | + ('Computing the correlation function', |
| 85 | + 2, |
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| 88 | + ('Time Auto-correlation Function', |
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| 92 | + ('Time Auto-correlation Function', |
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| 104 | + ('Time Auto-correlation Function', |
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| 109 | + 2, |
| 110 | + None, |
| 111 | + 'time-auto-correlation-function'), |
| 112 | + ('Correlation Time', 2, None, 'correlation-time'), |
| 113 | + ('Resampling methods: Blocking', |
| 114 | + 2, |
| 115 | + None, |
| 116 | + 'resampling-methods-blocking'), |
| 117 | + ('Why blocking?', 2, None, 'why-blocking'), |
| 118 | + ('Blocking Transformations', 2, None, 'blocking-transformations'), |
| 119 | + ('Blocking transformations', 2, None, 'blocking-transformations'), |
| 120 | + ('Blocking Transformations', 2, None, 'blocking-transformations'), |
| 121 | + ('Blocking Transformations, getting there', |
| 122 | + 2, |
| 123 | + None, |
| 124 | + 'blocking-transformations-getting-there'), |
| 125 | + ('Blocking Transformations, final expressions', |
| 126 | + 2, |
| 127 | + None, |
| 128 | + 'blocking-transformations-final-expressions'), |
| 129 | + ('More on the blocking method', |
| 130 | + 2, |
| 131 | + None, |
| 132 | + 'more-on-the-blocking-method'), |
| 133 | + ('Example code form last week', |
| 134 | + 2, |
| 135 | + None, |
| 136 | + 'example-code-form-last-week'), |
| 137 | + ('Resampling analysis', 2, None, 'resampling-analysis')]} |
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| 165 | + <a class="navbar-brand" href="week9-bs.html">Resampling Techniques, Bootstrap and Blocking</a> |
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| 168 | + <ul class="nav navbar-nav navbar-right"> |
| 169 | + <li class="dropdown"> |
| 170 | + <a href="#" class="dropdown-toggle" data-toggle="dropdown">Contents <b class="caret"></b></a> |
| 171 | + <ul class="dropdown-menu"> |
| 172 | + <!-- navigation toc: --> <li><a href="._week9-bs001.html#overview-of-week-march-16-20-2025" style="font-size: 80%;">Overview of week March 16-20, 2025</a></li> |
| 173 | + <!-- navigation toc: --> <li><a href="._week9-bs002.html#why-resampling-methods" style="font-size: 80%;">Why resampling methods ?</a></li> |
| 174 | + <!-- navigation toc: --> <li><a href="._week9-bs003.html#statistical-analysis" style="font-size: 80%;">Statistical analysis</a></li> |
| 175 | + <!-- navigation toc: --> <li><a href="._week9-bs004.html#and-why-do-we-use-such-methods" style="font-size: 80%;">And why do we use such methods?</a></li> |
| 176 | + <!-- navigation toc: --> <li><a href="._week9-bs005.html#central-limit-theorem-reminder-from-last-week" style="font-size: 80%;">Central limit theorem, reminder from last week</a></li> |
| 177 | + <!-- navigation toc: --> <li><a href="._week9-bs006.html#further-remarks" style="font-size: 80%;">Further remarks</a></li> |
| 178 | + <!-- navigation toc: --> <li><a href="._week9-bs007.html#statistics-more-technicalities" style="font-size: 80%;">Statistics, more technicalities</a></li> |
| 179 | + <!-- navigation toc: --> <li><a href="._week9-bs008.html#statistics" style="font-size: 80%;">Statistics</a></li> |
| 180 | + <!-- navigation toc: --> <li><a href="._week9-bs009.html#statistics-and-sample-variance" style="font-size: 80%;">Statistics and sample variance</a></li> |
| 181 | + <!-- navigation toc: --> <li><a href="._week9-bs010.html#statistics-uncorrelated-results" style="font-size: 80%;">Statistics, uncorrelated results</a></li> |
| 182 | + <!-- navigation toc: --> <li><a href="._week9-bs011.html#statistics-computations" style="font-size: 80%;">Statistics, computations</a></li> |
| 183 | + <!-- navigation toc: --> <li><a href="._week9-bs012.html#statistics-more-on-computations-of-errors" style="font-size: 80%;">Statistics, more on computations of errors</a></li> |
| 184 | + <!-- navigation toc: --> <li><a href="._week9-bs013.html#statistics-wrapping-up-1" style="font-size: 80%;">Statistics, wrapping up 1</a></li> |
| 185 | + <!-- navigation toc: --> <li><a href="._week9-bs014.html#statistics-final-expression" style="font-size: 80%;">Statistics, final expression</a></li> |
| 186 | + <!-- navigation toc: --> <li><a href="._week9-bs015.html#statistics-effective-number-of-correlations" style="font-size: 80%;">Statistics, effective number of correlations</a></li> |
| 187 | + <!-- navigation toc: --> <li><a href="._week9-bs016.html#computing-the-correlation-function" style="font-size: 80%;">Computing the correlation function</a></li> |
| 188 | + <!-- navigation toc: --> <li><a href="._week9-bs022.html#time-auto-correlation-function" style="font-size: 80%;">Time Auto-correlation Function</a></li> |
| 189 | + <!-- navigation toc: --> <li><a href="._week9-bs022.html#time-auto-correlation-function" style="font-size: 80%;">Time Auto-correlation Function</a></li> |
| 190 | + <!-- navigation toc: --> <li><a href="._week9-bs022.html#time-auto-correlation-function" style="font-size: 80%;">Time Auto-correlation Function</a></li> |
| 191 | + <!-- navigation toc: --> <li><a href="._week9-bs022.html#time-auto-correlation-function" style="font-size: 80%;">Time Auto-correlation Function</a></li> |
| 192 | + <!-- navigation toc: --> <li><a href="._week9-bs022.html#time-auto-correlation-function" style="font-size: 80%;">Time Auto-correlation Function</a></li> |
| 193 | + <!-- navigation toc: --> <li><a href="._week9-bs022.html#time-auto-correlation-function" style="font-size: 80%;">Time Auto-correlation Function</a></li> |
| 194 | + <!-- navigation toc: --> <li><a href="._week9-bs023.html#correlation-time" style="font-size: 80%;">Correlation Time</a></li> |
| 195 | + <!-- navigation toc: --> <li><a href="._week9-bs024.html#resampling-methods-blocking" style="font-size: 80%;">Resampling methods: Blocking</a></li> |
| 196 | + <!-- navigation toc: --> <li><a href="._week9-bs025.html#why-blocking" style="font-size: 80%;">Why blocking?</a></li> |
| 197 | + <!-- navigation toc: --> <li><a href="._week9-bs028.html#blocking-transformations" style="font-size: 80%;">Blocking Transformations</a></li> |
| 198 | + <!-- navigation toc: --> <li><a href="._week9-bs028.html#blocking-transformations" style="font-size: 80%;">Blocking transformations</a></li> |
| 199 | + <!-- navigation toc: --> <li><a href="._week9-bs028.html#blocking-transformations" style="font-size: 80%;">Blocking Transformations</a></li> |
| 200 | + <!-- navigation toc: --> <li><a href="._week9-bs029.html#blocking-transformations-getting-there" style="font-size: 80%;">Blocking Transformations, getting there</a></li> |
| 201 | + <!-- navigation toc: --> <li><a href="._week9-bs030.html#blocking-transformations-final-expressions" style="font-size: 80%;">Blocking Transformations, final expressions</a></li> |
| 202 | + <!-- navigation toc: --> <li><a href="._week9-bs031.html#more-on-the-blocking-method" style="font-size: 80%;">More on the blocking method</a></li> |
| 203 | + <!-- navigation toc: --> <li><a href="._week9-bs032.html#example-code-form-last-week" style="font-size: 80%;">Example code form last week</a></li> |
| 204 | + <!-- navigation toc: --> <li><a href="._week9-bs033.html#resampling-analysis" style="font-size: 80%;">Resampling analysis</a></li> |
| 205 | + |
| 206 | + </ul> |
| 207 | + </li> |
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| 209 | + </div> |
| 210 | +</div> |
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| 214 | +<a name="part0000"></a> |
| 215 | +<!-- ------------------- main content ---------------------- --> |
| 216 | +<div class="jumbotron"> |
| 217 | +<center> |
| 218 | +<h1>Resampling Techniques, Bootstrap and Blocking</h1> |
| 219 | +</center> <!-- document title --> |
| 220 | + |
| 221 | +<!-- author(s): Morten Hjorth-Jensen Email morten.hjorth-jensen@fys.uio.no --> |
| 222 | +<center> |
| 223 | +<b>Morten Hjorth-Jensen Email morten.hjorth-jensen@fys.uio.no</b> |
| 224 | +</center> |
| 225 | +<!-- institution --> |
| 226 | +<center> |
| 227 | +<b>Department of Physics and Center fo Computing in Science Education, University of Oslo, Oslo, Norway</b> |
| 228 | +</center> |
| 229 | +<br> |
| 230 | +<center> |
| 231 | +<h4>March 20, 2026</h4> |
| 232 | +</center> <!-- date --> |
| 233 | +<br> |
| 234 | + |
| 235 | + |
| 236 | + |
| 237 | +<p><a href="._week9-bs001.html" class="btn btn-primary btn-lg">Read »</a></p> |
| 238 | + |
| 239 | + |
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| 241 | + |
| 242 | +<p> |
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| 244 | +<ul class="pagination"> |
| 245 | + <li class="active"><a href="._week9-bs000.html">1</a></li> |
| 246 | + <li><a href="._week9-bs001.html">2</a></li> |
| 247 | + <li><a href="._week9-bs002.html">3</a></li> |
| 248 | + <li><a href="._week9-bs003.html">4</a></li> |
| 249 | + <li><a href="._week9-bs004.html">5</a></li> |
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| 251 | + <li><a href="._week9-bs006.html">7</a></li> |
| 252 | + <li><a href="._week9-bs007.html">8</a></li> |
| 253 | + <li><a href="._week9-bs008.html">9</a></li> |
| 254 | + <li><a href="._week9-bs009.html">10</a></li> |
| 255 | + <li><a href="">...</a></li> |
| 256 | + <li><a href="._week9-bs033.html">34</a></li> |
| 257 | + <li><a href="._week9-bs001.html">»</a></li> |
| 258 | +</ul> |
| 259 | +<!-- ------------------- end of main content --------------- --> |
| 260 | +</div> <!-- end container --> |
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| 269 | +<center style="font-size:80%"> |
| 270 | +<!-- copyright --> © 1999-2026, Morten Hjorth-Jensen Email morten.hjorth-jensen@fys.uio.no. Released under CC Attribution-NonCommercial 4.0 license |
| 271 | +</center> |
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| 273 | +</html> |
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