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  2. Probability space - Wikipedia

    en.wikipedia.org/wiki/Probability_space

    t. e. In probability theory, a probability space or a probability triple is a mathematical construct that provides a formal model of a random process or "experiment". For example, one can define a probability space which models the throwing of a die. A probability space consists of three elements: [1][2] A sample space, Ω {\displaystyle \Omega }

  3. Event (probability theory) - Wikipedia

    en.wikipedia.org/wiki/Event_(probability_theory)

    v. t. e. In probability theory, an event is a set of outcomes of an experiment (a subset of the sample space) to which a probability is assigned. [1] A single outcome may be an element of many different events, [2] and different events in an experiment are usually not equally likely, since they may include very different groups of outcomes. [3 ...

  4. Standard probability space - Wikipedia

    en.wikipedia.org/wiki/Standard_probability_space

    A measurable subset of a standard probability space is a standard probability space. It is assumed that the set is not a null set, and is endowed with the conditional measure. See (Rokhlin 1952, Sect. 2.3 (p. 14)) and (Haezendonck 1973, Proposition 5). Every probability measure on a standard Borel space turns it into a standard probability space.

  5. Probability theory - Wikipedia

    en.wikipedia.org/wiki/Probability_theory

    e. 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. Typically these axioms formalise probability in terms of a ...

  6. Fibonacci sequence - Wikipedia

    en.wikipedia.org/wiki/Fibonacci_sequence

    In mathematics, the Fibonacci sequence is a sequence in which each number is the sum of the two preceding ones. Numbers that are part of the Fibonacci sequence are known as Fibonacci numbers, commonly denoted Fn. Many writers begin the sequence with 0 and 1, although some authors start it from 1 and 1 [ 1 ][ 2 ] and some (as did Fibonacci) from ...

  7. Gaussian probability space - Wikipedia

    en.wikipedia.org/wiki/Gaussian_probability_space

    In probability theory particularly in the Malliavin calculus, a Gaussian probability space is a probability space together with a Hilbert space of mean zero, real-valued Gaussian random variables. Important examples include the classical or abstract Wiener space with some suitable collection of Gaussian random variables.

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