$#C+1 = 35 : ~/encyclopedia/old_files/data/W097/W.0907370 Weibull distribution
A particular [[Probability distribution|probability distribution]] of random variables $ X _ {w} $,
5 KB (690 words) - 06:37, 7 October 2023
...istributions (cf. [[Infinitely-divisible distribution|Infinitely-divisible distribution]]). If the distributions of $ S _ {n} $
converge to a limit distribution, $ k _ {n} \rightarrow \infty $,
2 KB (324 words) - 18:48, 5 April 2020
...ocess with independent increments is called homogeneous if the probability distribution of $ X ( \alpha + h ) - X ( \alpha ) $,
...can only have discontinuities of the first kind, with probability one. The distribution of the values of such a process for any $ t $
3 KB (473 words) - 08:23, 6 June 2020
$#C+1 = 51 : ~/encyclopedia/old_files/data/P073/P.0703280 Poisson distribution
[[Category:Distribution theory]]
7 KB (971 words) - 17:34, 6 January 2024
$#C+1 = 71 : ~/encyclopedia/old_files/data/P073/P.0703540 P\Aeolya distribution
The probability distribution of a random variable $ X _ {n} $
6 KB (838 words) - 08:08, 6 June 2020
$#C+1 = 18 : ~/encyclopedia/old_files/data/E036/E.0306900 Exponential distribution
[[Category:Distribution theory]]
3 KB (485 words) - 19:23, 10 April 2024
...ble if it lies in the region of values of the [[Normal distribution|normal distribution]] of a random variable at a distance from its [[Mathematical expectation|ma
where $\Phi(\cdot)$ is the distribution function of the standard normal law; whence, in particular, for $k=3$ it fo
1 KB (223 words) - 00:44, 24 December 2018
One of the basic concepts in [[Probability theory|probability theory]] and [[Mathematical statistics|mathematical statistics]]. In the modern ap
..., proved to be too general in the course of the further development of the theory and was replaced by more restrictive ones in order to exclude some "patholo
8 KB (1,003 words) - 21:59, 21 November 2018
$#C+1 = 50 : ~/encyclopedia/old_files/data/S087/S.0807110 Stable distribution
[[Category:Distribution theory]]
6 KB (799 words) - 18:06, 14 October 2023
...R><TD valign="top">[a3]</TD> <TD valign="top"> A.J. Lee, "U-statistics. Theory and practice" , ''Statistics textbooks and monographs'' , '''110''' , M. De
4 KB (507 words) - 22:10, 5 June 2020
...the parameters determining the equilibrium (cf. [[Gibbs distribution|Gibbs distribution]]; [[Gibbs statistical aggregate|Gibbs statistical aggregate]]).
...</TD></TR><TR><TD valign="top">[2]</TD> <TD valign="top"> Ya.G. Sinai, "Theory of phase transitions" , Pergamon (1982) (Translated from Russian)</TD></T
1 KB (187 words) - 17:28, 7 February 2011
is the distribution function of the random variable. Another variable which is also occasionall
.... Kendall, A. Stuart, "The advanced theory of statistics. Distribution theory" , '''3. Design and analysis''' , Griffin (1969)</TD></TR></table>
1 KB (158 words) - 19:42, 5 June 2020
...oloid. The best known result is Linnik's theorem on the asymptotic uniform distribution of integral points over the surfaces of spheres of increasing radius (see [
.... Malyshev, "A new version of the ergodic method of Yu.V. Linnik in number theory" ''J. Soviet Math.'' , '''11''' (1978) pp. 346–352 ''Zap. Nauchn. Sem. Le
3 KB (340 words) - 17:57, 19 October 2014
...r consideration are much larger than the time needed for the local Maxwell distribution to be established, the quantity $(-h(t,\mathbf r))$ may be identified with
The theory was presented by L. Boltzmann in 1872.
2 KB (326 words) - 17:14, 30 December 2018
...ndence and have the same exponential distribution. An elementary flow with distribution
is a particular case of a renewal process (cf. [[Renewal theory|Renewal theory]]). To an elementary flow is related the [[Poisson process|Poisson process]
2 KB (312 words) - 19:37, 5 June 2020
...meromorphic functions (see [[Value-distribution theory|Value-distribution theory]]). Let $ f ( z) $
For this reason, the theory of value distribution of meromorphic functions concerns itself with questions about the asymptoti
6 KB (966 words) - 08:02, 6 June 2020
have a given continuous distribution function $ F{ ( x) } $,
is the empirical distribution function constructed with respect to the sample $ X _ {1} \dots X _ {n} $
6 KB (730 words) - 12:16, 8 June 2020
[[Category:Distribution theory]]
Every distribution function $F(x)$ has the following properties:
6 KB (864 words) - 13:51, 12 December 2013
For discrete distributions (cf. [[Discrete distribution|Discrete distribution]]) given by probability vectors $ p = ( p _ {1} \dots p _ {n} ) $,
cf. [[Density of a probability distribution|Density of a probability distribution]]).
2 KB (316 words) - 22:15, 5 June 2020
...hypotheses on central problems in [[Analytic number theory|analytic number theory]], advanced by I.M. Vinogradov [[#References|[1]]], [[#References|[2]]] at
==Hypotheses on the distribution of power residues and non-residues.==
3 KB (433 words) - 09:08, 2 January 2021