Probability Theory

concepts · 11 notes linked

Related: Statistics · Blaise Pascal · Pierre De Fermat · Combinatorics · Judea Pearl · Michael Nielsen · Causal Inference · Simpsons Paradox

Notes

• A modern introduction to probability and statistics [book review] — Critical review of Upton classical probability statistics textbook
• Convolution of probability distributions - Wikipedia — Summing independent random variables via distribution convolution
• Cosines and correlation — Correlation as geometric cosine angle between random variable vectors
• How a Renaissance gambling dispute spawned probability theory — Pascal-Fermat correspondence on problem of points invented probability theory
• How a gambler's question led math prodigy Blaise Pascal to found probability theory — Blaise Pascal founding probability theory from gambling problem
• If correlation doesn't imply causation, then what does? — Judea Pearl's causal calculus inferring causation from observational data
• New XLoader botnet uses probability theory to hide its servers — XLoader malware uses law of large numbers to hide C2 servers
• Random — Open educational resource covering probability, statistics, and stochastic processes
• Resources for learning probability and statistics — Curated beginner-friendly resources for probability and statistics
• The Surprisingly Simple Math Behind Puzzling Matchups | Quanta Magazine — Intransitive dice show winning relationships can cycle non-transitively
• Why the 'Sleeping Beauty Problem' Is Keeping Mathematicians Awake — Unresolved probability puzzle dividing halfers and thirders since 2000