What does almost surely mean?

Definitions for almost surely
al·most sure·ly

This dictionary definitions page includes all the possible meanings, example usage and translations of the word almost surely.

Wikipedia

  1. Almost surely

    In probability theory, an event is said to happen almost surely (sometimes abbreviated as a.s.) if it happens with probability 1 (or Lebesgue measure 1). In other words, the set of possible exceptions may be non-empty, but it has probability 0. The concept is essentially analogous to the concept of "almost everywhere" in measure theory. In probability experiments on a finite sample space, there is often no difference between almost surely and surely (since having a probability of 1 often entails including all the sample points). However, this distinction becomes important when the sample space is an infinite set, because an infinite set can have non-empty subsets of probability 0. Some examples of the use of this concept include the strong and uniform versions of the law of large numbers, and the continuity of the paths of Brownian motion. The terms almost certainly (a.c.) and almost always (a.a.) are also used. Almost never describes the opposite of almost surely: an event that happens with probability zero happens almost never.

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Numerology

  1. Chaldean Numerology

    The numerical value of almost surely in Chaldean Numerology is: 6

  2. Pythagorean Numerology

    The numerical value of almost surely in Pythagorean Numerology is: 9

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"almost surely." Definitions.net. STANDS4 LLC, 2024. Web. 30 Apr. 2024. <https://www.definitions.net/definition/almost+surely>.

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