1733- Abraham de Moivre introduces the Normal_distributionto approximate the Binomial_distributionin probability,
1739- David_Hume'sTreatise_of_Human_Natureargues that Inductive_reasoningis unjustified,
1761- Thomas_Bayesproves Bayes'_theorem,
1786- William_Playfair'sCommercial and Political Atlas introduces Line_chartand Bar_chartof data,
19th century
1801- Gausspredicts the orbit of Ceresusing a line of best fit
1805- Adrien-Marie_Legendreintroduces the Method_of_least_squaresfor fitting a curve to a given set of observations,
1814- Laplace'sEssai philosophique sur les probabilités defends a definition of probabilities in terms of equally possible cases, introduces Generating_functionand Laplace_transform, uses Conjugate_priorfor Exponential_families, proves an early version of the Bernstein von-Mises theorem on the asymptotic irrelevance of prior distributions on the limiting posterior distribution and the role of the Fisher_informationon asymptotically normal posterior modes.
1835- Adolphe_Quetelet'sTreatise on Man introduces social science statistics and the concept of the "average man",
1866- John_Venn'sLogic of Chance defends the Frequentistof probability.
1883- Charles_Sanders_Peirceoutlines Frequentist_statistics, emphasizing the use of objective Randomizationin Randomized_experimentand in Sampling_(statistics). Peirce also invented an Optimal_designfor Response_surface_methodology.
1880- Thorvald_N._Thielegives a mathematical analysis of Brownian_motion, introduces the Likelihood_function, and invents Cumulant.
1888- Galtonintroduces the concept of Correlation
20th century
1900- Louis_Bachelieranalyzes Stock_pricemovements as a Stochastic_process,
1908- Student's_t-distributionfor the mean of small samples published in English (following earlier derivations in German).
1921- Keynes' Treatise on Probability defends a logical interpretation of probability,
1933- Andrey_Nikolaevich_Kolmogorovpublishes his book Basic notions of the calculus of probability (Grundbegriffe der Wahrscheinlichkeitsrechnung) which contains an Probability_axiombased on Measure_theory,
1935- Ronald_Fisher'sDesign of Experiments (1st ed),
1937- Jerzy_Neymanintroduces the concept of Confidence_intervalin statistical testing,
1946- Cox's_theoremderives the axioms of probability from simple logical assumptions,
1948- Claude_Shannon'sMathematical_Theory_of_Communicationdefines capacity of communication channels in terms of probabilities,
1953- Nicholas_Metropolisintroduces the idea of thermodynamic Simulated_annealingmethods
21st Century
2003- E.T._Jaynes'sProbability Theory: The Logic of Science defends probability theory as a comprehensive method of evaluation of evidence
2009- David_X._Li'sCopulaformula blamed as one cause of the Late_2000s_recession