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xorshammer.com | ||
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alok.github.io
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| | | | | Alok Singh's Blog | |
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almostsuremath.com
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| | | | | The aim of this post is to motivate the idea of representing probability spaces as states on a commutative algebra. We will consider how this abstract construction relates directly to classical probabilities. In the standard axiomatization of probability theory, due to Kolmogorov, the central construct is a probability space $latex {(\Omega,\mathcal F,{\mathbb P})}&fg=000000$. This consists... | |
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jmanton.wordpress.com
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| | | | | If $latex Y$ is a $latex \sigma(X)$-measurable random variable then there exists a Borel-measurable function $latex f \colon \mathbb{R} \rightarrow \mathbb{R}$ such that $latex Y = f(X)$. The standard proof of this fact leaves several questions unanswered. This note explains what goes wrong when attempting a "direct" proof. It also explains how the standard proof... | |
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rgoswami.me
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| | | Chapter II - Statistical Learning All the questions are as per the ISL seventh printing of the First edition1. Question 2.8 - Pages 54-55 This exercise relates to the College data set, which can be found in the file College.csv. It contains a number of variables for \(777\) different universities and colleges in the US. The variables are Private : Public/private indicator Apps : Number of applications received Accept : Number of applicants accepted Enroll : Number of new students enrolled Top10perc : New students from top 10 % of high school class Top25perc : New students from top 25 % of high school class F. | ||
