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  2. History of randomness - Wikipedia

    en.wikipedia.org/wiki/History_of_randomness

    The application of random walk hypothesis in financial theory was first proposed by Maurice Kendall in 1953. [50] It was later promoted by Eugene Fama and Burton Malkiel. Random strings were first studied in the 1960s by A. N. Kolmogorov (who had provided the first axiomatic definition of probability theory in 1933), [51] Chaitin and Martin ...

  3. History of probability - Wikipedia

    en.wikipedia.org/wiki/History_of_probability

    The Science of Conjecture: Evidence and Probability Before Pascal. Baltimore, MD: Johns Hopkins University Press. ISBN 0-8018-6569-7. Hacking, Ian (2006). The Emergence of Probability (2nd ed.). New York: Cambridge University Press. ISBN 978-0-521-86655-2. Hald, Anders (2003). A History of Probability and Statistics and Their Applications ...

  4. Probability theory - Wikipedia

    en.wikipedia.org/wiki/Probability_theory

    Probability theory or probability calculus is the branch of mathematics concerned with probability. Although there are several different probability interpretations , probability theory treats the concept in a rigorous mathematical manner by expressing it through a set of axioms .

  5. Probability - Wikipedia

    en.wikipedia.org/wiki/Probability

    Probability theory is applied in everyday life in risk assessment and modeling. The insurance industry and markets use actuarial science to determine pricing and make trading decisions. Governments apply probabilistic methods in environmental regulation , entitlement analysis, and financial regulation .

  6. Outline of probability - Wikipedia

    en.wikipedia.org/wiki/Outline_of_probability

    The certainty that is adopted can be described in terms of a numerical measure, and this number, between 0 and 1 (where 0 indicates impossibility and 1 indicates certainty) is called the probability. Probability theory is used extensively in statistics, mathematics, science and philosophy to draw conclusions about the likelihood of potential ...

  7. Probability axioms - Wikipedia

    en.wikipedia.org/wiki/Probability_axioms

    The standard probability axioms are the foundations of probability theory introduced by Russian mathematician Andrey Kolmogorov in 1933. [1] These axioms remain central and have direct contributions to mathematics, the physical sciences, and real-world probability cases. [2] There are several other (equivalent) approaches to formalising ...

  8. Classical definition of probability - Wikipedia

    en.wikipedia.org/wiki/Classical_definition_of...

    As a mathematical subject, the theory of probability arose very late—as compared to geometry for example—despite the fact that we have prehistoric evidence of man playing with dice from cultures from all over the world. [3] One of the earliest writers on probability was Gerolamo Cardano. He perhaps produced the earliest known definition of ...

  9. Notation in probability and statistics - Wikipedia

    en.wikipedia.org/wiki/Notation_in_probability...

    Greek letters (e.g. θ, β) are commonly used to denote unknown parameters (population parameters). [3]A tilde (~) denotes "has the probability distribution of". Placing a hat, or caret (also known as a circumflex), over a true parameter denotes an estimator of it, e.g., ^ is an estimator for .