Geometry of Statistics: Estimation vs Prediction, and Confidence vs Prediction Intervals
#maths #statistics #probability #machinelearning 00:00 - 00:40 Introduction 00:40 - 04:05 Problem setup & 04:05 - 05:23 Recap of L2 geometry 05:23 - 10:14 The geometry of the sample mean 10:14 - 14:31 The geometry of prediction 14:31 - 16:10 General picture: estimation vs prediction 16:10 - 25:02 Confidence and prediction intervals 25:02 - 26:15 Remarks on deviation from normality Prerequisite video: • Random Variables Are Right Triangles Mathematical Statistics playlist: • Playlist
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The Hidden Geometry Behind Hypothesis Testing
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Itô integrals: an Intuitive Introduction | Stochastic Calculus ep.1
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Statistics is just ... Geometry?
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Conditional Expectations Are Just Projections
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The "Trick" that Compilers Use for Long Division - Computerphile
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e Was Hiding Something — Hermite Finally Caught It
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Lagrangian Mechanics: when theoretical physics got real
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The Cramér-Rao Inequality Demystified: statistical and geometric insights
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What the t distribution really is about?
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Maximum Likelihood Estimation (MLE) with Examples
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How Bernoulli Solved 1+1/2+1/3+1/4+...=?
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Random Variables Are Right Triangles
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The Sample Mean is Not the Expected Value
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AI just disproved the biggest math conjecture so far
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Why Brownian Motion Needs a New Calculus (dW^2 = dt) | Stochastic Calculus ep. 2
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Why Peter Scholze is once in a Generation Mathematician
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The Sum-Product conjecture was just disproven!!
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How Mean Returns Lie: Itô's Lemma (2nd form), GBM, & Volatility Drag | Stochastic Calculus ep.4
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Conan O’Brien Delivers the Commencement Address | Harvard Commencement 2026
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