Home›Probability and Statistics›All Probability and StatisticsBrowse ByAll Probability and StatisticsReference and ClassificationDevelopingProved results about chance, random processes and statistical inference. Belongs here: theorems in probability and statistics. Does not belong here: results that remain conjectural, or deterministic results outside probability's scope.FactsAll Probability and StatisticsSourcesComments (0)Reader Challenges (0)FactsComparisonEra Of EmergenceWell-attested1650 1All Probability and StatisticsFilter Results63 entriesBranchAllDifferential Equations (1)Ergodic Theory (1)Information Theory (1)Measure Theory (2)Optimization (1)Probability and Statistics (56)Topic AreaAllLearning, Inference and Decision Under Uncertainty (2)Mathematical Statistics and Estimation (14)Probability Theory (32)Stochastic Processes and Martingales (11)ProvedAll1713 (1)1738 (1)1763 (1)1810 (1)1867 (1)1909 (1)1928 (1)1929 (1)1930 (1)1931 (1)1932 (1)1933 (3)1934 (2)1936 (1)1938 (2)1941 (1)1943 (2)1944 (1)1949 (1)1951 (2)1952 (2)1953 (1)1955 (1)1957 (1)1960 (2)1963 (2)1997 (1)2000 (1)2019 (1)Proved ByAllAbraham de Moivre (2)Abraham Wald (2)Aleksandr Khinchin (1)Aleksandr Lyapunov (1)Andrey Kolmogorov (4)Carl Friedrich Gauss (1)David Blackwell (1)Edwin Hewitt (1)Egon Pearson (1)Francesco Paolo Cantelli (3)Friedrich Bessel (1)George David Birkhoff (1)George Udny Yule (1)Harald Cramér (5)Jacob Bernoulli (3)Joseph L. Doob (2)Kiyosi Itô (1)Pafnuty Chebyshev (2)Paul Lévy (1)Pierre-Simon Laplace (3)René Fréchet (2)Ronald Fisher (2)Thomas Bayes (1)Wassily Hoeffding (3)William Gemmell Cochran (1)Named AfterAllAndrey Kolmogorov (3)Andrey Markov (1)Statement FormAllCharacterization (22)Classification Theorem (1)Equation (13)Existence Theorem (7)Identity (13)Impossibility Theorem (1)Inequality (15)Uniqueness Theorem (4)Show ResultsBrowseCompareSelect all 50Azuma's InequalityProbability and StatisticsBasu's TheoremProbability and StatisticsBayes' TheoremProbability and StatisticsBerry-Esseen TheoremProbability and StatisticsBessel's CorrectionProbability and StatisticsBirkhoff Ergodic TheoremProbability and StatisticsBorel-Cantelli LemmaProbability and StatisticsCantelli's InequalityProbability and StatisticsCentral Limit TheoremProbability and StatisticsChebyshev's InequalityProbability and StatisticsChernoff BoundProbability and StatisticsChung-Fuchs TheoremProbability and StatisticsCochran's TheoremProbability and StatisticsContinuous Mapping TheoremProbability and StatisticsCoupon Collector's ProblemProbability and StatisticsCramer-Rao BoundProbability and StatisticsCramer-Rao InequalityProbability and StatisticsCramér's Theorem (Large Deviations)Probability and StatisticsCramer-Wold TheoremProbability and Statisticsde Finetti's TheoremProbability and StatisticsDe Moivre-Laplace TheoremProbability and StatisticsDelta MethodProbability and StatisticsDonsker's TheoremProbability and StatisticsDoob Decomposition TheoremProbability and StatisticsDoob's Martingale Convergence TheoremProbability and StatisticsFalse Confidence TheoremProbability and StatisticsFeynman-Kac FormulaProbability and StatisticsFisher-Neyman Factorization TheoremProbability and StatisticsFisher-Tippett-Gnedenko TheoremProbability and StatisticsFrisch-Waugh-Lovell TheoremProbability and StatisticsGauss-Markov TheoremProbability and StatisticsGirsanov's TheoremProbability and StatisticsGlivenko-Cantelli TheoremProbability and StatisticsHewitt-Savage Zero-One LawProbability and StatisticsHoeffding's InequalityProbability and StatisticsIto's LemmaProbability and StatisticsKolmogorov Extension TheoremProbability and StatisticsKolmogorov's Maximal InequalityProbability and StatisticsKolmogorov's Three-Series TheoremProbability and StatisticsKolmogorov's Zero-One LawProbability and StatisticsLaw of Large NumbersProbability and StatisticsLe Cam's TheoremProbability and StatisticsLehmann-Scheffe TheoremProbability and StatisticsLevy's Continuity TheoremProbability and StatisticsLindeberg-Feller TheoremProbability and StatisticsMarkov's InequalityProbability and StatisticsMean Ergodic TheoremProbability and StatisticsNeyman-Pearson LemmaProbability and StatisticsNo Free Lunch TheoremProbability and StatisticsOptional Stopping TheoremProbability and Statistics12Next →Sources1. Probability Theory (Wikipedia)tier 2Wikimedia FoundationHistory of probabilityQuote, History of probabilityThe 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").View the SourceComments (0)No comments yet. Be the first to share a thought.Sign in to join the discussion.Reader Challenges (0)No disputes yet. Spotted an error or a better source? Open the first one.Sign in to dispute this or suggest a correction.