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  2. Sample space - Wikipedia

    en.wikipedia.org/wiki/Sample_space

    A sample space is usually denoted using set notation, and the possible ordered outcomes, or sample points, [5] are listed as elements in the set. It is common to refer to a sample space by the labels S, Ω, or U (for "universal set"). The elements of a sample space may be numbers, words, letters, or symbols.

  3. Probability space - Wikipedia

    en.wikipedia.org/wiki/Probability_space

    This leads to different choices of sample space. The σ-algebra is a collection of all the events we would like to consider. This collection may or may not include each of the elementary events. Here, an "event" is a set of zero or more outcomes; that is, a subset of the sample space. An event is considered to have "happened" during an ...

  4. Small-bias sample space - Wikipedia

    en.wikipedia.org/wiki/Small-bias_sample_space

    An -biased sample space that is generated by picking a uniform element from a multiset {,} is called -biased set. The size s {\displaystyle s} of an ϵ {\displaystyle \epsilon } -biased set X {\displaystyle X} is the size of the multiset that generates the sample space.

  5. Random variable - Wikipedia

    en.wikipedia.org/wiki/Random_variable

    In examples such as these, the sample space is often suppressed, since it is mathematically hard to describe, and the possible values of the random variables are then treated as a sample space. But when two random variables are measured on the same sample space of outcomes, such as the height and number of children being computed on the same ...

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  7. Event (probability theory) - Wikipedia

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

    An event, however, is any subset of the sample space, including any singleton set (an elementary event), the empty set (an impossible event, with probability zero) and the sample space itself (a certain event, with probability one). Other events are proper subsets of the sample space that contain multiple elements. So, for example, potential ...

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