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blog.html
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<!DOCTYPE html>
<html dir="ltr" >
<head>
<meta charset="UTF-8">
<meta name="viewport" content="width=device-width">
<title>About Me - Michael Issa</title>
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<p>This blog is a recording of rumination on various statistical topics that I'm currently thinking about. I hope to have each piece be a more cleaned up and professional version of my thoughts on a couple of papers or books I am reading. Currently, I'm plannning on writing something on Lindley's Paradox and Stein's Paradox because I am familiar with each and it is haunting having this page be so emtpy. </p>
<p style="text-align: justify;">Here are a few statistics blog I regularly consume. I urge you to take a look there before reading anything here. They are bound to be of higher quality, and I have learned more there than I can hope to retain.</p>
<p style="text-align: justify;">Gelman et al.'s <a href="https://statmodeling.stat.columbia.edu/">Statistical Modeling, Causal Inference, and Social Science </a>.</p>
<p style="text-align: justify;">Simonshon et al.'s <a href="https://datacolada.org/">Data Colada </a>.</p>
<p style="text-align: justify;">Debroah Mayo's <a href="https://errorstatistics.com/">Error Statistics Philosophy </a>.</p>
<p style="text-align: justify;">Richard McElreth's <a href="https://elevanth.org/blog/">Elements of Evolutionary Anthropology </a>.</p>
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Stein's Paradox, Decision and Pooling
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<strong>Abstract.</strong>
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Stein's paradox, introduced by Charles Stein in 1955, uncovers some fascinating insights in statistical decision theory. It shows that when you have a decision rule and a risk function, one estimator can actually be shown to be better than another—though it doesn’t claim to be the best. At first, this might feel a bit disappointing, but it really highlights some important connections in statistics, like the blurry line between inference and decision-making. Plus, it opens the door to modern methods like multilevel models that build on these ideas.
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