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...math> is said to be a '''separable random variable''' or a '''Radon random variable'''. ==Tightness and stochastic ordering== ...

{{Short description|Discrete-variable probability distribution}} ...tions exist for either [[Scalar variable|scalar]] or [[multivariate random variable]]s whose [[Domain of a function|domain]] is discrete. ...

...tricity|ferroelectric]] ordering), or a spin state ([[magnetism|magnetic]] ordering). ...in]] ordering, [[magnetic ordering]], and compositional ordering. Magnetic ordering is observable in [[neutron diffraction]]. ...

...dering, levels that are defined by a sense of quality. Variables with this ordering convention are known as [[Ordinal data|ordinal variables]]. In comparison, A nominal variable, or nominal group, is a group of objects or ideas collectively grouped by a ...

{{Short description|Set of random variables of which any two are independent}} ...ndependent collections are not mutually independent. Pairwise independent random variables with finite [[variance]] are [[uncorrelated]]. ...

'''Sorting''' refers to ordering data in an increasing or decreasing manner according to some linear relatio # [[Collating order|ordering]]: arranging items in a sequence ordered by some criterion; ...

{{More footnotes needed|date=July 2024}}{{Short description|Variable capable of taking on a limited number of possible values}} ...ty distribution]] associated with a [[random variable|random]] categorical variable is called a [[categorical distribution]]. ...

{{Short description|Partial order between random variables}} ...21 |doi=10.1016/0304-405X(75)90025-2 }}</ref> It is a form of [[stochastic ordering]]. The concept arises in [[decision theory]] and [[decision analysis]] in s ...

...or [[compiler]] to enforce an [[Memory ordering|ordering]] constraint on [[Random-access memory|memory]] operations issued before and after the barrier instr ...el]]. Some architectures provide multiple barriers for enforcing different ordering constraints. ...

..."first", "second", "third", etc. to different observations of a particular variable. A '''rank correlation coefficient''' measures the degree of similarity be ..., one variable is the identity of a college basketball program and another variable is the identity of a college football program, one could test for a relatio ...

...,1,2)</math>. From the point of view of the [[field with one element]], an ordering on a set corresponds to a maximal [[Flag (linear algebra)|flag]] (a filtrat ...geq 0}, \mathbb{P}\right)</math> be a filtered probability space. A random variable <math>\tau : \Omega \rightarrow [0, \infty]</math> is a [[stopping time]] w ...

locked: ; The lock variable. 1 = locked, 0 = unlocked. ; the lock variable. ...

...e=Concurrent ordination: Simultaneous unconstrained and constrained latent variable modelling |journal=Methods in Ecology and Evolution |language=en |volume=14 *[[Latent variable model]] ...

...ef> They are closely related to [[correlation function]]s between [[random variable]]s, although they are nonetheless different objects, being defined in [[Min Here <math>T\{\cdots \}</math> is the [[Path-ordering#Time_ordering|time-ordering]] operator for which orders the field operators so that earlier time field ...

...[central limit theorem]] to determine the optimal cash reserves to satisfy random withdrawals from depositors.<ref>{{cite web|url=http://www.columbia.edu/~gm ...mpirical research has shown that decision makers tend to be biased towards ordering too close to the expected demand (pull-to-center effect<ref>{{cite journal ...

...o calculate conditional probabilities, so we fix the value of the [[random variable]]s we condition on. Those variables are also said to be clamped to their pa * There is an elimination ordering for G that does not lead to any added edges. ...

...implementation of these data types will often apply some kind of arbitrary ordering). "Uniqueness" means that duplicate elements are not allowed. Depending on *[[Variable-length array]] ...

...</math> has to be evaluated instead. Let <math>X_{ij}</math> be the random variable that is <math>1</math> if element <math>j</math> is placed in bucket <math> ...ers in a small range, bucket sort assumes that the input is generated by a random process that distributes elements uniformly over the interval ''[0,1)''. Th ...

...tly communicate a message drawn from a set of possible messages, by simply ordering the set of messages by decreasing probability and then sending the index of ...ptimal universal code can be used on [[Independent identically-distributed random variables|independent identically-distributed sources]], by using increasin ...

...bset of the variables (for example, the unknown [[parameter]]s or [[latent variable]]s); or to compute an [[integral]] (such as the [[expected value]] of one o ...lgorithm]] (i.e. an algorithm that makes use of [[random number generation|random number]]s), and is an alternative to [[deterministic algorithm]]s for stati ...