...o be contrasted with its unconditional or [[A priori distribution|a priori distribution]].
...the conditional density of $X$ when $\Theta=\theta$; then the a posteriori distribution of $\Theta$ for a given $X=x$, according to the [[Bayes formula|Bayes formu
2 KB (248 words) - 21:34, 1 January 2019
...of]]; [[Least squares, method of|Least squares, method of]]). Thus, in the theory of (observational) errors, developed by Gauss for problems in astronomy and
...ribution appears as the limit form of the [[Binomial distribution|binomial distribution]] (with $p=1/2$) had been discovered by A. de Moivre.
2 KB (312 words) - 16:10, 19 August 2014
$#C+1 = 25 : ~/encyclopedia/old_files/data/W098/W.0908040 Wishart distribution
...ution]]. Let the results of observations have a $ p $-dimensional normal distribution $ N( \mu , \Sigma ) $
3 KB (370 words) - 01:20, 19 January 2022
...discrete distributions: If the values $x_k$ of a random variable $X$ with distribution $p_k = \mathsf{P}(X = x_k)$ are arranged in increasing order, then a point
...and mathematical statistics are the unimodal distributions (cf. [[Unimodal distribution]]). Along with the [[mathematical expectation]] and the [[Median (in statis
2 KB (243 words) - 20:49, 14 December 2015
''$F$-distribution, Fisher–Snedecor distribution, Snedecor distribution''
A continuous probability distribution concentrated on $(0,\infty)$ with density
7 KB (873 words) - 07:45, 27 January 2024
The density of a [[Conditional distribution|conditional distribution]]. Let $ ( \Omega , {\mathcal A} , {\mathsf P} ) $
be the conditional distribution of $ X $
2 KB (296 words) - 17:46, 4 June 2020
...value|Exceptional value]]; [[Value-distribution theory|Value-distribution theory]].
...p">[3]</TD> <TD valign="top"> A.A. Gol'dberg, I.V. Ostrovskii, "Value distribution of meromorphic functions" , Moscow (1970) (In Russian)</TD></TR></table>
3 KB (516 words) - 17:32, 5 June 2020
$#C+1 = 40 : ~/encyclopedia/old_files/data/M065/M.0605330 Multinomial distribution,
''polynomial distribution''
4 KB (522 words) - 13:11, 6 January 2024
$#C+1 = 16 : ~/encyclopedia/old_files/data/D032/D.0302840 Dirichlet distribution
A probability distribution on the simplex
2 KB (306 words) - 08:57, 8 April 2023
...de with limiting forms of the [[Hypergeometric distribution|hypergeometric distribution]]. Pearson curves are classified in accordance with the character of the ro
...Pearson curves consists of 12 types plus the [[Normal distribution|normal distribution]]. Many very important distributions in mathematical statistics may be obta
6 KB (779 words) - 07:20, 24 March 2023
Khinchin's theorem on the factorization of distributions: Any probability distribution $P$ admits (in the convolution semi-group of probability distributions) a f
...ite or countable set of indecomposable distributions (cf. [[Indecomposable distribution]]). The factorization (1) is not unique, in general.
2 KB (326 words) - 16:26, 9 April 2016
$#C+1 = 15 : ~/encyclopedia/old_files/data/J054/J.0504260 Joint distribution
A general term referring to the distribution of several random variables defined on the same probability space. Let $
2 KB (319 words) - 22:14, 5 June 2020
$#C+1 = 34 : ~/encyclopedia/old_files/data/U095/U.0905330 Unimodal distribution,
''single-peak distribution''
5 KB (663 words) - 07:36, 10 April 2023
distribution''
A continuous probability distribution concentrated on the positive semi-axis $ 0 < x < \infty $
4 KB (556 words) - 18:53, 24 January 2024
$#C+1 = 58 : ~/encyclopedia/old_files/data/C024/C.0204480 Conditional distribution
...or each fixed elementary event is a [[Probability distribution|probability distribution]] and for each fixed Borel set is a [[Conditional probability|conditional p
4 KB (599 words) - 17:46, 4 June 2020
A continuous probability distribution concentrated on the positive semi-axis $ 0 < x < \infty $
The corresponding distribution function for $ x \leq 0 $
5 KB (610 words) - 19:21, 10 April 2024
''domain of attraction of a stable distribution''
[[Category:Distribution theory]]
3 KB (488 words) - 20:56, 1 January 2019
$#C+1 = 38 : ~/encyclopedia/old_files/data/L057/L.0507640 Lattice distribution
A discrete probability distribution concentrated on a set of points of the form $ a + nh $,
4 KB (622 words) - 22:15, 5 June 2020
[[Category:Distribution theory]]
...tion]], the uniform distribution appears in probability theory as an exact distribution in some problems and as a limit in others.
6 KB (911 words) - 12:00, 22 December 2019
...variable $X$ is being tested, using a test based on a statistic $T(X)$ the distribution function of which — provided $H_0$ is true — is $G(t)$. If the critical
...><TR><TD valign="top">[2]</TD> <TD valign="top"> J. Hájek, Z. Sidák, "Theory of rank tests" , Acad. Press (1967)</TD></TR></table>
727 bytes (117 words) - 15:52, 22 July 2014