''in probability theory''
...]] or the [[Density of a probability distribution|density of a probability distribution]].
337 bytes (43 words) - 17:03, 7 February 2011
[[Category:Distribution theory]]
...respectively, is such a mixture. The distribution function of a continuous distribution is a continuous function. The absolutely-continuous distributions occupy a
6 KB (843 words) - 11:58, 20 October 2012
The probability distribution concentrated on $(0,\infty)$ with density
...mber $\mu>0$ are parameters. The [[characteristic function]] of the Erlang distribution has the form
2 KB (279 words) - 19:37, 4 December 2016
[[Category:Distribution theory]]
...al $(0,1)$ and is $(\sqrt{x(1-x)})^{-1}/\pi$ if $0<x<1$. The corresponding distribution function is equal to $(2/\pi)\arcsin\sqrt x$ for $0\leq x\leq1$.
2 KB (226 words) - 12:50, 11 October 2014
$#C+1 = 12 : ~/encyclopedia/old_files/data/G044/G.0404230 Geometric distribution
[[Category:Distribution theory]]
1 KB (202 words) - 19:41, 5 June 2020
$#C+1 = 10 : ~/encyclopedia/old_files/data/R077/R.0707730 Rayleigh distribution
A continuous [[Probability distribution|probability distribution]] with density
3 KB (338 words) - 12:55, 17 March 2023
$#C+1 = 9 : ~/encyclopedia/old_files/data/L060/L.0600780 Logistic distribution
A probability distribution with distribution function $ \psi ( a x + b ) $,
2 KB (254 words) - 17:36, 12 January 2021
$#C+1 = 24 : ~/encyclopedia/old_files/data/T094/T.0904360 Truncated distribution
...in this interval. Let a probability distribution on the line be given by a distribution function $ F $.
4 KB (545 words) - 14:56, 7 June 2020
...of the hypothetical distribution. The straight line represents the normal distribution function with average 100 and standard deviation 8.
...>[1]</TD> <TD valign="top"> N. Arley, K.R. Buch, "Introduction to the theory of probability and statistics" , Wiley (1950)</TD></TR><TR><TD valign="top
1 KB (206 words) - 19:52, 3 May 2023
A continuous probability distribution with density
...s a discontinuity at $x=\beta$. The characteristic function of the Laplace distribution with parameters $\alpha$ and $\beta$ is
2 KB (326 words) - 07:53, 20 August 2014
$#C+1 = 16 : ~/encyclopedia/old_files/data/D033/D.0303060 Discrete distribution
[[Category:Distribution theory]]
2 KB (315 words) - 19:35, 5 June 2020
$#C+1 = 17 : ~/encyclopedia/old_files/data/M063/M.0603130 Maxwell distribution
The [[Probability distribution|probability distribution]] with probability density
3 KB (351 words) - 11:10, 9 April 2023
$#C+1 = 20 : ~/encyclopedia/old_files/data/M062/M.0602340 Marginal distribution
...iven distribution. Thus the marginal distribution is the projection of the distribution of the random vector $ X= ( X _ {1} \dots X _ {n} ) $
2 KB (343 words) - 07:40, 14 January 2024
$#C+1 = 36 : ~/encyclopedia/old_files/data/N066/N.0606180 Negative binomial distribution
A [[Probability distribution|probability distribution]] of a random variable $ X $
4 KB (583 words) - 08:02, 6 June 2020
...distribution determined by the simple hypothesis is called the hypothesis distribution. E.g., if one observes a random variable $X$, then the statement "X is sub
.../TD> <TD valign="top"> A.M. Mood, F.A. Graybill, "Introduction to the theory of statistics" , McGraw-Hill (1963) pp. §12.2</TD></TR></table>
675 bytes (94 words) - 09:30, 27 April 2014
A [[Probability distribution|probability distribution]] on $\mathbf R^n$ concentrated on a set of [[Lebesgue measure|Lebesgue mea
...uivalent to the following: A distribution is singular if the corresponding distribution function is continuous and its set of growth points has Lebesgue measure ze
2 KB (359 words) - 18:13, 3 August 2014
$#C+1 = 29 : ~/encyclopedia/old_files/data/P071/P.0701750 Pascal distribution
A discrete [[Probability distribution|probability distribution]] of a random variable $ X $
3 KB (407 words) - 08:05, 6 June 2020
...18 : ~/encyclopedia/old_files/data/C022/C.0202100 \BQT Chi\AAhsquared\EQT distribution,
distribution''
4 KB (555 words) - 16:43, 4 June 2020
$#C+1 = 33 : ~/encyclopedia/old_files/data/C020/C.0200850 Cauchy distribution
[[Category:Distribution theory]]
4 KB (498 words) - 15:35, 4 June 2020
...eory]] characterising those [[additive function]]s that possess a limiting distribution.
==Limiting distribution==
2 KB (230 words) - 12:04, 23 November 2023