''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
...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>
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''sample distribution''
...s to every value $ X_{k} $ the probability $ \dfrac{1}{n} $. The empirical distribution function $ F_{n} $ is the step-function with steps of multiples of $ \dfrac
5 KB (778 words) - 04:08, 22 June 2017
be a random variable having a continuous and strictly increasing distribution function $ F $.
has a uniform distribution on the interval $ [ 0 , 1 ] $,
4 KB (562 words) - 20:33, 16 January 2024
...tatistical problem connected with the study of other parameters of a given distribution. More precisely, for a realization of a random variable $ X $,
...to make a statistical inference not depending on these parameters. In the theory of statistical hypothesis testing one often achieves this by narrowing the
2 KB (341 words) - 08:03, 6 June 2020
...al distribution]]. It is used as a certain measure of the deviation of the distribution in question from the normal one. The excess $ \gamma _ {2} $
is the second Pearson coefficient (cf. [[Pearson distribution|Pearson distribution]]), and $ \mu _ {2} $
4 KB (594 words) - 17:18, 6 January 2024
distribution''
The [[Probability distribution|probability distribution]] of the random variable
3 KB (396 words) - 20:47, 22 January 2024
''in probability theory and mathematical statistics''
Theorems that establish a connection between the type of the distribution of random variables or random vectors and certain general properties of fun
3 KB (414 words) - 16:43, 4 June 2020
$#C+1 = 36 : ~/encyclopedia/old_files/data/H048/H.0408430 Hypergeometric distribution
The probability distribution defined by the formula
4 KB (602 words) - 22:11, 5 June 2020
...h that the distributions of $X_2$ and $BX_1+A$ coincide. The corresponding distribution functions are then connected by the relation
Thus the set of distribution functions decomposes into mutually disjoint types. For example, all normal
4 KB (649 words) - 14:15, 17 April 2014
...yclopedia/old_files/data/M064/M.0604610 Moments, method of (in probability theory)
A method for determining a [[Probability distribution|probability distribution]] by its moments (cf. [[Moment|Moment]]). Theoretically the method of momen
4 KB (609 words) - 16:25, 6 January 2024
$#C+1 = 42 : ~/encyclopedia/old_files/data/I052/I.0502550 Involutive distribution
A $ p $-dimensional distribution (or a differential system of dimension $ p $)
3 KB (378 words) - 10:11, 21 March 2022
$#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
$#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
converges in distribution to $ f ( W ) $,
is a Wiener random function. Thus, the limiting distribution for the $ f ( Y _ {n} ) $
3 KB (432 words) - 19:45, 16 January 2024
...sen independently of the others and in accordance with a given probability distribution. Sometimes a random coding is defined in such a way that every realization
...><TD valign="top">[3]</TD> <TD valign="top"> R. Gallagher, "Information theory and reliable communication" , Wiley (1968)</TD></TR></table>
2 KB (258 words) - 17:04, 7 February 2011
have a given continuous distribution function $ F (x) $.
is the [[Empirical distribution|empirical distribution]] function constructed from the sample $ X _{1} \dots X _{n} $
4 KB (572 words) - 11:08, 26 March 2023
...Goodness-of-fit test|Goodness-of-fit test]]) one wants to test whether the distribution function of a [[Random variable|random variable]] $ X $
...e simplest case this set consists of one completely specified (continuous) distribution function $ F _ {0} $,
5 KB (709 words) - 06:49, 26 March 2023
...s distribution in Gauss' theory of errors (cf. [[Errors, theory of|Errors, theory of]]). The densities
2 KB (315 words) - 19:41, 5 June 2020
...sion of the [[Central limit theorem|Central Limit Theorem]] of probability theory: If $ S_{n} $ denotes the number of “successes” in $ n $ [[Bernoulli tr
is the cumulative distribution function of the standard normal law.
5 KB (692 words) - 19:33, 7 July 2016
...in an arcsine distribution or a generalized [[Arcsine distribution|arcsine distribution]]. The following feature of a Brownian motion $ \{ {\xi _ {t} } : {t \geq
will then have the arcsine distribution:
4 KB (576 words) - 18:48, 5 April 2020
that is, the [[Joint distribution|joint distribution]] of $ X _ {1} \dots X _ {k} $
To test the hypothesis of no relationship, the sampling distribution of $ r _ {1 \cdot ( 2 \dots k) } $
5 KB (666 words) - 08:02, 6 June 2020
...p=0.25$, has the name inter-quartile distance, and in the case of a normal distribution it is equal to $1.349\sigma$ (where $\sigma$ is the natural measure of disp
...ign="top">[1]</TD> <TD valign="top"> G.U. Yale, "An introduction to the theory of statistics" , Griffin (1916)</TD></TR></table>
1 KB (190 words) - 21:50, 9 November 2014
...oper distributions is a normal distribution, then each of them is a normal distribution; and 2) if $\phi_1(t)$ and $\phi_2(t)$ are characteristic functions and if
...mplies closeness of the distribution of each of the summands to the normal distribution; qualitative estimates of the stability are known.
4 KB (647 words) - 19:21, 24 March 2023
...e, instead of the term "non-parametric test" one speaks frequently of a "distribution-free test" . The [[Kolmogorov test]] is a classic example of a non-parametr
....Z. [R.Z. Khas'minskii] Has'minskii, "Statistical estimation: asymptotic theory" , Springer (1981) (Translated from Russian)</TD></TR>
2 KB (247 words) - 09:06, 10 April 2023
...(for a classical system — towards the local [[Maxwell distribution|Maxwell distribution]]), i.e. being always larger than the times of formation of the local hydro
...ction, corresponding to the case of a small deviation from a local Maxwell distribution, is then substituted into these equations. In the zero-th approximation thi
4 KB (525 words) - 20:13, 12 October 2014
...andard one) in terms of the corresponding quantiles of the standard normal distribution, in powers of a small parameter. It was studied by E.A. Cornish and R.A. Fi
is a distribution function depending on $ t $
4 KB (608 words) - 16:41, 15 January 2021
A concept in value-distribution theory. Let $f(z)$ be a meromorphic function in the whole $z$-plane and let $n(r,a
...$f$ to $a$ on $|z|=r$ (cf. [[Value-distribution theory|Value-distribution theory]]). For the majority of values $a$ the quantities $N(r,a,f)$ and $T(r,f)$ a
3 KB (495 words) - 09:04, 26 November 2023
...g to a given probability distribution. In [[Probability theory|probability theory]], attention centres on numerical (that is, scalar) random functions $ X
...-dimensional (vector) random variable characterized by a multi-dimensional distribution function. When $ T $
7 KB (1,062 words) - 08:09, 6 June 2020
Poisson's theorem is a limit theorem in probability theory which is a particular case of the [[Law of large numbers|law of large numbe
...distribution|binomial distribution]] to the [[Poisson distribution|Poisson distribution]]: If $ P _ {n} ( m) $
4 KB (651 words) - 08:06, 6 June 2020
''probability distribution, probability''
(the [[Poisson distribution|Poisson distribution]]);
3 KB (421 words) - 19:48, 8 January 2021
...undaries and knowing the initial step distribution at time $t_0$, the step distribution at $t_0+\Delta t$ is calculated using the mass, momentum and energy balance
...extended to problems of hydrodynamics with heat conduction, to elasticity theory, etc. Owing to an obvious physical interpretation and universality, and sin
3 KB (431 words) - 10:52, 16 April 2014
''in probability theory''
...f the densities of a sequence of distributions to the density of the limit distribution (if the given densities exist), or a classical version of local limit theor
6 KB (856 words) - 15:13, 18 March 2022
...notions of the concept of convergence, of which the most important for the theory of statistical estimation are convergence in probability and convergence wi
be independent random variables with the same normal distribution $ N ( a, \sigma ^ {2} ) $.
4 KB (501 words) - 17:46, 4 June 2020