mathematics, Kolmogorov's normability criterion is a theorem that provides a necessary and sufficient condition for a topological vector space to be normable; that...

interpretation Kolmogorov microscales Kolmogorov's normability criterion Fréchet–Kolmogorov theorem Kolmogorov space Kolmogorov complexity Kolmogorov–Smirnov...

following theorem is due to Kolmogorov: Kolmogorov's normability criterion: A Hausdorff topological vector space is normable if and only if there exists...

Characterizes when a topological space is metrizable Kolmogorov's normability criterion – Characterization of normable spaces Uniformizable space – Topological space...

space is never normable. The existence of a norm for a given topological vector space is characterized by Kolmogorov's normability criterion. A topological...

TVS that possesses a bounded neighborhood of the origin. By Kolmogorov's normability criterion, this is true of a locally convex space if and only if the...

Compact space – Type of mathematical space Kolmogorov's normability criterion – Characterization of normable spaces Local boundedness Totally bounded space –...

neighborhood of the origin. Normability of topological vector spaces is characterized by Kolmogorov's normability criterion. A TVS is seminormable if and...

selecting a model from among various candidates on the basis of performance criterion to choose the best one. In the context of machine learning and more generally...

that is maximized. A decision rule makes a choice using an optimality criterion. Some commonly used criteria are: Minimax: Choose the decision rule with...

is an equilibrium distribution. Reversibility is equivalent to Kolmogorov's criterion: the product of transition rates over any closed loop of states...

random variables and some more general stationary processes follows from Kolmogorov's zero–one law. Ergodicity of a continuous dynamical system means that...

up to 5,000. Anderson–Darling test Cramér–von Mises criterion D'Agostino's K-squared test Kolmogorov–Smirnov test Lilliefors test Normal probability plot...

criterion Kolmogorov's generalized criterion Kolmogorov's inequality Kolmogorov's zero–one law Kolmogorov–Smirnov test KPSS test Kriging Kruskal–Wallis...

reversible if the reversed process is the same as the forward process. Kolmogorov's criterion states that the necessary and sufficient condition for a process...

left and right limits (but see Gibbs phenomenon). The Dirichlet–Dini Criterion states that: if ƒ is 2π–periodic, locally integrable and satisfies ∫ 0...

identical except for a reversing of the time indices n and n + 1. Kolmogorov's criterion gives a necessary and sufficient condition for a Markov chain to...

Pierre-Simon Laplace for the same problem in 1789 and 1799. The development of a criterion that can be evaluated to determine when the solution with the minimum...

is the intercept from the linear regression equation (the value of the criterion when the predictor is equal to zero). β 1 x {\displaystyle \beta _{1}x}...

distribution, and also probability distribution, according to Andrey Kolmogorov's approach to probability theory. A "geometric body" of classical mathematics...

than the s 2 {\textstyle s^{2}} in terms of the mean squared error (MSE) criterion. In finite samples both s 2 {\textstyle s^{2}} and σ ^ 2 {\displaystyle...

Historically, finite-sample efficiency was an early optimality criterion. However this criterion has some limitations: Finite-sample efficient estimators are...

clustering algorithm provides a way of defining clusters, in which the criterion of maximising the distance between cluster-means that is used in k-means...

experiments. The technique is also known as Wiener–Kolmogorov prediction, after Norbert Wiener and Andrey Kolmogorov. The theoretical basis for the method was...

of the Cauchy criterion for sequences in H: a pre-Hilbert space H is complete if every Cauchy sequence converges with respect to this norm to an element...

endogenous variable, response variable, target variable, measured variable, criterion variable, or dependent variable. This variable is also sometimes known...

the number of rows of P {\displaystyle P} ). The justification for this criterion is that if a node is removed from the regulatory layer along with all...

I(X_{1};\ldots ;X_{k})=0} can be used as a refined statistical independence criterion. For 3 variables, Brenner et al. applied multivariate mutual information...

Karhunen–Loève theorem (stochastic processes) Kolmogorov extension theorem (stochastic processes) Kolmogorov's three-series theorem (mathematical series)...

expected to be stable over time), content validity, construct validity, and criterion validity. Factor analysis is used in the scale development process. Questionnaires...