What is Carathéodory's criterion?

The majority loser criterion is a criterion to evaluate single-winner voting systems. The criterion states that if a majority of voters prefers every other candidate over a given candidate, then...

Resolvability criterion can refer to any voting system criterion that ensures a low possibility of tie votes. Methods that satisfy both versions include approval voting, range voting, Borda count, instant-runoff...

The later-no-help criterion is a voting system criterion formulated by Douglas Woodall. The criterion is satisfied if, in any election, a voter giving an additional ranking or positive rating to...

In communications, the Nyquist ISI criterion describes the conditions which, when satisfied by a communication channel , result in no intersymbol interference or ISI. It provides a method for constructing...

In probability theory, Kolmogorov's criterion, named after Andrey Kolmogorov, is a theorem giving a necessary and sufficient condition for a Markov chain or continuous-time Markov chain to be stochastically identical...

In measure theory, Carathéodory's extension theorem states that any pre-measure defined on a given ring R of subsets of a given set Ω can be extended to a measure on...

The deviance information criterion is a hierarchical modeling generalization of the Akaike information criterion. It is particularly useful in Bayesian model selection problems where the posterior distributions of the models...

In statistical theory, Chauvenet's criterion is a means of assessing whether one piece of experimental data — an outlier — from a set of observations, is likely to be spurious.

In control system theory, the Liénard–Chipart criterion is a stability criterion modified from the Routh–Hurwitz stability criterion, proposed by A. Liénard and M. H. Chipart. This criterion has a computational...