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  2. Order statistic - Wikipedia

    en.wikipedia.org/wiki/Order_statistic

    The first order statistic ... to derive the following probability density functions for the order statistics of a sample of size n drawn from the distribution of X: ...

  3. First-order - Wikipedia

    en.wikipedia.org/wiki/First-order

    First-order hold, a mathematical model of the practical reconstruction of sampled signals; First-order inclusion probability; First Order Inductive Learner, a rule-based learning algorithm; First-order reduction, a very weak type of reduction between two computational problems; First-order resolution; First-order stochastic dominance; First ...

  4. First-order second-moment method - Wikipedia

    en.wikipedia.org/wiki/First-order_second-moment...

    In probability theory, the first-order second-moment (FOSM) method, also referenced as mean value first-order second-moment (MVFOSM) method, is a probabilistic method to determine the stochastic moments of a function with random input variables.

  5. Sampling probability - Wikipedia

    en.wikipedia.org/wiki/Sampling_probability

    Generally, the first-order inclusion probability of the ith element of the population is denoted by the symbol π i and the second-order inclusion probability that a pair consisting of the ith and jth element of the population that is sampled is included in a sample during the drawing of a single sample is denoted by π ij. [3]

  6. Moment (mathematics) - Wikipedia

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

    In mathematics, the moments of a function are certain quantitative measures related to the shape of the function's graph.If the function represents mass density, then the zeroth moment is the total mass, the first moment (normalized by total mass) is the center of mass, and the second moment is the moment of inertia.

  7. Monotone likelihood ratio - Wikipedia

    en.wikipedia.org/wiki/Monotone_likelihood_ratio

    Rearranging, the probability the worker worked hard is ... the family exhibits the first-order (and hence second-order) stochastic dominance in ...

  8. List of first-order theories - Wikipedia

    en.wikipedia.org/wiki/List_of_first-order_theories

    Use ordinary first-order logic, but add a new unary predicate "Set", where "Set(t)" means informally "t is a set". Use ordinary first-order logic, and instead of adding a new predicate to the language, treat "Set(t)" as an abbreviation for "∃y t∈y" Some first-order set theories include: Weak theories lacking powersets:

  9. Stochastic ordering - Wikipedia

    en.wikipedia.org/wiki/Stochastic_ordering

    In probability theory and statistics, a stochastic order quantifies the concept of one random variable being "bigger" than another. These are usually partial orders , so that one random variable A {\displaystyle A} may be neither stochastically greater than, less than, nor equal to another random variable B {\displaystyle B} .

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