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...tion]] describes this family together with some of the properties of these distributions. ...probability theory of "stability" and of the stable family of probability distributions is that they are "attractors" for properly normed sums of [[independent and ...

{{Short description|Family of probability distributions}} ...tion function of <math>Y \stackrel{d}{=} a + b X</math>also belongs to the family (where <math> \stackrel{d}{=} </math> means "[[Random variable#Equality in ...

...ort description|Quantity that indexes a parametrized family of probability distributions}} ...ehensive description of the population and can be considered to define a [[probability distribution]] for the purposes of extracting [[Sample (statistics)|sample] ...

...a special kind of [[numerical parameter]] of a [[parametric family]] of [[probability distribution]]s. The larger the scale parameter, the more [[dispersion (sta If a family of [[probability distribution]]s is such that there is a parameter ''s'' (and other paramete ...

{{short description|Probability distribution}} {{Probability distribution| ...

{{Short description|Probability distribution}} {{Probability distribution ...

...a need for transformations, and [[Mixture distribution|mixtures]]. Normal probability plots are made of raw data, [[Errors and residuals in statistics|residuals [[Image:normprob.png|thumb|350px|A normal probability plot]] ...

{{Short description|Probability distribution on equally likely outcomes}} ...WikiProject Probability#Standards]] for a discussion of standards used for probability distribution articles such as this one ---> ...

{{Short description|Continuous probability distribution}} {{Probability distribution | ...

...ution. In the literature of location parameter estimation, the probability distributions with such parameter are found to be formally defined in one of the followin * either as having a [[probability density function]] or [[probability mass function]] <math>f(x - x_0)</math>;<ref>{{cite journal |last1=Takeuchi ...

{{short description|Probability distribution}} {{Probability distribution| ...

{{short description|Criterion for choosing a probability distribution in statistical mechanics}} ...|microstate]]s of a [[thermodynamic system]] by minimizing the average log probability ...

...ndard" [[Cauchy distribution]] is the [[probability distribution]] whose [[probability density function]] (pdf) is ...''' is any probability distribution belonging to the same [[location-scale family]] as this one. Thus, if ''X'' has a standard Cauchy distribution and ''μ'' ...

{{Short description|Continuous probability distribution}} {{Probability distribution | ...

...[[statistical model]]s. Specifically, a parametric model is a family of [[probability distribution]]s that has a finite number of parameters. A [[statistical model]] is a collection of [[probability distribution]]s on some [[sample space]]. We assume that the collection, {{ ...

...mputer science]], a '''log probability''' is simply a [[logarithm]] of a [[probability]].<ref name="chrispiech" /> The use of log probabilities means representing ...The log probability is widely used in implementations of computations with probability, and is studied as a concept in its own right in some applications of infor ...

{{Short description|Probability distribution}} {{for|the more general family of Lévy alpha-stable distributions, of which this distribution is a special case|stable distribution}} ...

{{short description|Consistent set of finite-dimensional distributions will define a stochastic process}} ...\dots, t_{k} \in T</math>, let <math>\nu_{t_{1} \dots t_{k}}</math> be a [[probability measure]] on <math>(\mathbb{R}^{n})^{k}.</math> Suppose that these measures ...

{{Cite book|last=Mukhopadhyay|first=Nitis|title=Probability and Statistical Inference|publisher=Marcel Dekker, Inc.|year=2000|isbn=0-82 ...<ref>{{Citation |last=Stigler |first=Stephen M. |title=State of the art in probability and statistics |chapter=Ancillary history |date=2001 |chapter-url=http://pr ...

{{short description|Continuous probability distribution}} {{Probability distribution| ...