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  2. A Treatise on Probability - Wikipedia

    en.wikipedia.org/wiki/A_Treatise_on_Probability

    [notes 10] Chapter 6 'Weight of Argument' develops the idea of 'weight of argument' from chapter 3 and discusses the relevance of the 'amount' of evidence in support of a given probability judgement. [notes 11] Chapter 3 further noted the importance of the 'weight' of evidence in addition to any probability:

  3. Probability - Wikipedia

    en.wikipedia.org/wiki/Probability

    Probability is the branch of mathematics and statistics concerning events and numerical descriptions of how likely they are to occur. The probability of an event is a number between 0 and 1; the larger the probability, the more likely an event is to occur. [note 1] [1] [2] A simple example is the tossing of a fair (unbiased) coin. Since the ...

  4. List of probability distributions - Wikipedia

    en.wikipedia.org/wiki/List_of_probability...

    The Rademacher distribution, which takes value 1 with probability 1/2 and value −1 with probability 1/2. The binomial distribution, which describes the number of successes in a series of independent Yes/No experiments all with the same probability of success.

  5. Kruskal count - Wikipedia

    en.wikipedia.org/wiki/Kruskal_count

    This is a corrected translation of the first Russian edition published as "Теоремы и задачи о процессах Маркова" by Nauka Press (Наука) in 1967 as part of a series on Probability Theory and Mathematical Statistics (Теория вероятностей и математическая статистика ...

  6. Probability theory - Wikipedia

    en.wikipedia.org/wiki/Probability_theory

    This is the same as saying that the probability of event {1,2,3,4,6} is 5/6. This event encompasses the possibility of any number except five being rolled. The mutually exclusive event {5} has a probability of 1/6, and the event {1,2,3,4,5,6} has a probability of 1, that is, absolute certainty.

  7. Campbell's theorem (probability) - Wikipedia

    en.wikipedia.org/wiki/Campbell's_theorem...

    In probability theory and statistics, Campbell's theorem or the Campbell–Hardy theorem is either a particular equation or set of results relating to the expectation of a function summed over a point process to an integral involving the mean measure of the point process, which allows for the calculation of expected value and variance of the random sum.

  8. Law of total expectation - Wikipedia

    en.wikipedia.org/wiki/Law_of_total_expectation

    The proposition in probability theory known as the law of total expectation, [1] the law of iterated expectations [2] (LIE), Adam's law, [3] the tower rule, [4] and the smoothing theorem, [5] among other names, states that if is a random variable whose expected value ⁡ is defined, and is any random variable on the same probability space, then

  9. Law of total probability - Wikipedia

    en.wikipedia.org/wiki/Law_of_total_probability

    The term law of total probability is sometimes taken to mean the law of alternatives, which is a special case of the law of total probability applying to discrete random variables. [ citation needed ] One author uses the terminology of the "Rule of Average Conditional Probabilities", [ 4 ] while another refers to it as the "continuous law of ...