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  2. List of probability distributions - Wikipedia

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

    The Dirichlet distribution, a generalization of the beta distribution. The Ewens's sampling formula is a probability distribution on the set of all partitions of an integer n, arising in population genetics. The Balding–Nichols model; The multinomial distribution, a generalization of the binomial distribution.

  3. Probability distribution - Wikipedia

    en.wikipedia.org/wiki/Probability_distribution

    A probability distribution whose sample space ... A discrete probability distribution is the probability ... system has a probability measure, and the main problem is ...

  4. Urn problem - Wikipedia

    en.wikipedia.org/wiki/Urn_problem

    In probability and statistics, an urn problem is an idealized mental exercise in which some objects of real interest (such as atoms, people, cars, etc.) are represented as colored balls in an urn or other container. One pretends to remove one or more balls from the urn; the goal is to determine the probability of drawing one color or another ...

  5. Probability theory - Wikipedia

    en.wikipedia.org/wiki/Probability_theory

    The normal distribution, a continuous probability distribution. Continuous probability theory deals with events that occur in a continuous sample space. Classical definition: The classical definition breaks down when confronted with the continuous case. See Bertrand's paradox.

  6. Moment (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Moment_(mathematics)

    Problems of determining a probability distribution from its sequence of moments are called problem of moments. Such problems were first discussed by P.L. Chebyshev (1874) [6] in connection with research on limit theorems.

  7. Discrete uniform distribution - Wikipedia

    en.wikipedia.org/wiki/Discrete_uniform_distribution

    The problem of estimating the maximum of a discrete uniform distribution on the integer interval [,] from a sample of k observations is commonly known as the German tank problem, following the practical application of this maximum estimation problem, during World War II, by Allied forces seeking to estimate German tank production.

  8. Coupon collector's problem - Wikipedia

    en.wikipedia.org/wiki/Coupon_collector's_problem

    In probability theory, the coupon collector's problem refers to mathematical analysis of "collect all coupons and win" contests. It asks the following question: if each box of a given product (e.g., breakfast cereals) contains a coupon, and there are n different types of coupons, what is the probability that more than t boxes need to be bought ...

  9. Secretary problem - Wikipedia

    en.wikipedia.org/wiki/Secretary_problem

    The secretary problem demonstrates a scenario involving optimal stopping theory [1] [2] that is studied extensively in the fields of applied probability, statistics, and decision theory. It is also known as the marriage problem , the sultan's dowry problem , the fussy suitor problem , the googol game , and the best choice problem .

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