...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
$#C+1 = 49 : ~/encyclopedia/old_files/data/B016/B.0106420 Binomial distribution,
''Bernoulli distribution''
5 KB (776 words) - 10:59, 29 May 2020
...ernoulli trials are one of the principal schemes considered in probability theory.
has a [[Binomial distribution|binomial distribution]]. As $ n \rightarrow \infty $,
4 KB (636 words) - 13:12, 6 February 2020
...f its counting function $N(r,a,f)$, which characterizes the density of the distribution of $a$-points of $f(z)$, and the proximity function $m(r,a,f)$, which chara
...n="top">[5]</TD> <TD valign="top"> P. Griffiths, J. King, "Nevanlinna theory and holomorphic mappings between algebraic varieties" ''Acta Math.'' , '''
3 KB (566 words) - 16:17, 1 April 2017
In the limit theorems of probability theory, a fundamental problem is to determine the limiting behaviour, as $ n \ri
...istributions (cf. [[Infinitely-divisible distribution|Infinitely-divisible distribution]]). Suppose that the sequence of series $ \xi _ {nk} $
5 KB (647 words) - 08:13, 6 June 2020
$#C+1 = 55 : ~/encyclopedia/old_files/data/L057/L.0507760 Least\AAhfavourable distribution
An [[A priori distribution|a priori distribution]] maximizing the risk function in a statistical problem of decision making.
5 KB (695 words) - 22:16, 5 June 2020
A numerical characteristic of a [[Probability distribution|probability distribution]]. The moment of order $ k $(
is the [[Distribution function|distribution function]] of the random variable $ X $,
7 KB (1,019 words) - 08:53, 21 January 2024
...(cf. also [[Density of a probability distribution|Density of a probability distribution]]) has the form
...functions of a random matrix with a matrix variate elliptically contoured distribution also have elliptically contoured distributions. That is, if $X \sim E _ { p
7 KB (992 words) - 07:26, 28 January 2024
...mal distribution|normal distribution]], the [[Poisson distribution|Poisson distribution]] and their compositions (cf. [[Lévy–Cramér theorem|Lévy–Cramér the
...to $\mathfrak L$. This condition is not sufficient, but it is known that a distribution of $\mathfrak L$ belongs to $I_0$ if
4 KB (636 words) - 17:54, 13 November 2014
$#C+1 = 46 : ~/encyclopedia/old_files/data/B016/B.0106810 Boltzmann distribution
The statistical equilibrium distribution function $ f ( \mathbf p , \mathbf r ) $
5 KB (762 words) - 10:59, 29 May 2020
having a [[Poisson distribution|Poisson distribution]]. In the homogeneous Poisson process
One of the properties of a Poisson process is that the conditional distribution of the jump points $ 0 < \tau _ {1} < \dots < \tau _ {n} < t $
3 KB (480 words) - 08:06, 6 June 2020