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All Probability and Statistics

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Era Of Emergence

1650 1

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1. Probability Theory (Wikipedia)

Wikimedia FoundationHistory of probability section

Quote, History of probability section

The modern mathematical theory of probability has its roots in attempts to analyze games of chance by Gerolamo Cardano in the sixteenth century, and by Pierre de Fermat and Blaise Pascal in the seventeenth century (for example the problem of points).

Azuma's Inequality

Basu's Theorem

Bayes' Theorem

Berry-Esseen Theorem

Bessel's Correction

Birkhoff Ergodic Theorem

Borel-Cantelli Lemma

Cantelli's Inequality

Central Limit Theorem

Chebyshev's Inequality

Chernoff Bound

Chung-Fuchs Theorem

Cochran's Theorem

Continuous Mapping Theorem

Coupon Collector's Problem

Cramer-Rao Bound

Cramer-Rao Inequality

Cramer's Theorem (Large Deviations)

Cramer-Wold Theorem

de Finetti's Theorem

De Moivre-Laplace Theorem

Delta Method

Donsker's Theorem

Doob Decomposition Theorem

Doob's Martingale Convergence Theorem

False Confidence Theorem

Feynman-Kac Formula

Fisher-Neyman Factorization Theorem

Fisher-Tippett-Gnedenko Theorem

Frisch-Waugh-Lovell Theorem

Gauss-Markov Theorem

Girsanov's Theorem

Glivenko-Cantelli Theorem

Hewitt-Savage Zero-One Law

Hoeffding's Inequality

Ito's Lemma

Kolmogorov Extension Theorem

Kolmogorov's Maximal Inequality

Kolmogorov's Three-Series Theorem

Kolmogorov's Zero-One Law

Law of Large Numbers

Le Cam's Theorem

Lehmann-Scheffe Theorem

Levy's Continuity Theorem

Lindeberg-Feller Theorem

Markov's Inequality

Mean Ergodic Theorem

Neyman-Pearson Lemma

No Free Lunch Theorem

Optional Stopping Theorem

Rabin's Calibration Theorem

Rao-Blackwell Theorem

Sanov's Theorem

Skorokhod Representation Theorem

Skorokhod's Embedding Theorem

Slutsky's Theorem

Strong Law of Large Numbers

Structure Theorem for Gaussian Measures

Varadhan's Lemma

Wald's Identity

Weak Law of Large Numbers

Wiener-Khinchin Theorem

Wilks' Theorem