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...atural generalization of a [[Binomial distribution|binomial distribution]] and coincides with the latter for $ k = 2 $.
4 KB (522 words) - 13:11, 6 January 2024
$#C+1 = 21 : ~/encyclopedia/old_files/data/S087/S.0807490 Statistics
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3 KB (407 words) - 16:24, 6 January 2024
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A member of the series of order statistics (also called [[variational series]]) based on the results of observations.
12 KB (1,803 words) - 09:08, 10 April 2023
$#C+1 = 39 : ~/encyclopedia/old_files/data/B016/B.0106850 Boltzmann statistics
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5 KB (797 words) - 10:59, 29 May 2020
...e construction of a set of approximate values of the unknown parameters of probability distributions.
in a Euclidean space and let the probability distribution of this vector belong to the parametric family of distribution
8 KB (1,101 words) - 11:37, 10 February 2020
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A discrete probability distribution concentrated on a set of points of the form $ a + nh $,
4 KB (622 words) - 22:15, 5 June 2020
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...bability density (cf. [[Density of a probability distribution|Density of a probability distribution]]) of an observable random vector $ X = ( X _ {1} \dots X _
4 KB (582 words) - 08:05, 6 June 2020
A numerical characteristic of the probability distribution of a random variable. In the most general setting, the mathema
...esgue integral|Lebesgue integral]] with respect to a [[Probability measure|probability measure]] $ {\mathsf P} $
7 KB (945 words) - 11:49, 10 February 2020
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s strategy is a decision rule (decision function), and the pay-off function of player $ I $
3 KB (461 words) - 08:23, 6 June 2020
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A statistic having a fixed probability distribution under some compound hypothesis.
3 KB (460 words) - 08:54, 6 January 2024
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A metric or pseudo-metric on the set of probability distributions, characterizing the "non-similarity" of the random phenomen
7 KB (1,010 words) - 22:12, 5 June 2020
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''for a family of probability distributions $ \{ {P _ \theta } : {\theta \in \Theta } \} $
9 KB (1,282 words) - 08:24, 6 June 2020
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A discrete [[Probability distribution|probability distribution]] of a random variable $ X $
3 KB (407 words) - 08:05, 6 June 2020
...function of a real variable $x$ taking at each $x$ the value equal to the probability of the inequality $X < x$.
...w +\infty} F(x) = 1$. (Sometimes a distribution function is defined as the probability of $X \le x$; it is then right-continuous.)
6 KB (864 words) - 13:51, 12 December 2013
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A numerical characteristic of a [[Probability distribution|probability distribution]]. The moment of order $ k $(
7 KB (1,019 words) - 08:53, 21 January 2024
''in probability theory''
.... be finite) or may not (i.e. be infinite). In modern [[Probability theory|probability theory]] the expectation of a random variable is defined in terms of the [[
7 KB (1,127 words) - 20:19, 27 January 2020
...uthor(s), the article has been donated to ''Encyclopedia of Mathematics'', and its further issues are under ''Creative Commons Attribution Share-Alike Lic
<center>Department of Probability Theory, Statistics and
20 KB (3,391 words) - 12:09, 28 October 2023
$#C+1 = 42 : ~/encyclopedia/old_files/data/B017/B.0107210 Bose\ANDEinstein statistics,
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7 KB (998 words) - 06:28, 30 May 2020
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and have exponential density $ \lambda e ^ {- \lambda t } $,
3 KB (480 words) - 08:06, 6 June 2020
$#C+1 = 91 : ~/encyclopedia/old_files/data/D031/D.0301110 Density of a probability distribution,
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6 KB (898 words) - 17:32, 5 June 2020