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...hematics, Vol. 2011, {{doi|10.1155/2011/238290}} (2011).</ref> Since the [[probability density function]] for a (standard) Rayleigh distribution is given by<ref n Rayleigh mixture distributions have probability density functions of the form ...

...hastic process]] surpasses a given value in a fixed time period. It is the probability<ref name="adler">{{Cite book | first1=Robert J. |last1= Adler |first2= Jona ...>{{Cite journal | last1 = Yang | first1 = J. -N. | title = First-excursion probability in non-stationary random vibration | doi = 10.1016/0022-460X(73)90059-X | j ...

...Distortion Risk Measures | journal = Methodology and Computing in Applied Probability | volume = 11 | issue = 3 | pages = 385 | year = 2008 | hdl = 10016/14071 | ...>X</math> and any distortion function <math>g</math> we can define a new [[probability measure]] <math>\mathbb{Q}</math> such that for any <math>A \in \mathcal{F} ...

In [[probability theory]], '''Lorden's inequality''' is a bound for the [[moment (mathematic ...g distributions | doi = 10.1016/j.spl.2007.02.013 | journal = Statistics & Probability Letters | volume = 77 | issue = 14 | pages = 1486–1489 | year = 2007 | pmid ...

In [[queueing theory]], a discipline within the mathematical theory of probability, '''Ross's conjecture''' gives a lower bound for the average waiting-time e | journal = Journal of Applied Probability ...

...em|Girsanov's theorem]] is to be applied to perform a change of [[Measure (probability)|measure]]. Kazamaki's condition is more general than [[Novikov's condition {{probability-stub}} ...

...y topology of semimartingale wealth-process sets|journal=Annals of Applied Probability|volume=23|number=4|pages=1355 - 1376|date=2013|doi=10.1214/12-AAP872|doi-ac ...mathcal{F_t}\},P)</math> be a [[Filtration (probability theory)|filtered]] probability space, where the filtration satisfies the [[usual conditions]] and <math>T\ ...

...against team B, based on the [[odds ratio]] between the estimated winning probability of Team A and Team B against a larger set of teams. ...winning probabilities of team A and B and let <math>p_{A,B}</math> be the probability of team A winning over team B, then we have the following odds ratio equati ...

{{Short description|Theorem in probability theory}} ...Applied Probability and Queues | series = Stochastic Modelling and Applied Probability | volume = 51 | pages = 39–59 | year = 2003 | isbn = 978-0-387-00211-8 }}</ ...

{{Probability distribution In [[probability theory]], the '''matrix-exponential distribution''' is an [[absolutely cont ...

...les are parametrized (families of) [[Function (mathematics)|functions]], [[probability distribution]]s, curves, shapes, etc.{{Citation needed|date=August 2021}} ==In probability and its applications== ...

...to another. The transform arises in applications of [[Stein's method]] in probability and statistics. ...ility density function|density function]] {{math|''f''(''t'')}} is a new [[Probability density function|density function]] {{math|''g''(''s'')}} defined by<ref> ...

...hat can contradict a [[comparison]] between the effects of both treatments applied to a single group. ...hich of the two treatments will give a randomly chosen patient the greater probability of doing better. These two measures, a comparison between two [[randomly]] ...

...\, d\mu</math>.<ref name=Williams>{{cite book|author=David Williams|title=Probability with Martingales|url=https://archive.org/details/probabilitywithm00will_764 ...stated here, implies that almost everywhere pointwise convergence of the [[probability density function]]s of a sequence of <math>\mu</math>-[[Absolute continuity ...

In [[applied mathematics]], a '''nonlinear complementarity problem (NCP)''' with respect ...il |last2=Watson |first2=Layne T. |last3=Billups |first3=Stephen C. |title=Probability-one homotopy maps for mixed complementarity problems |journal=Computational ...

...e transformation, such as a [[location–scale family]], or otherwise one of probability distributions [[Group action (mathematics)|acted upon]] by a [[group (mathe The [[Transformation (function)|transformation]] applied to the random variable must satisfy the properties of closure under composi ...

...Applied Probability and Queues | series = Stochastic Modelling and Applied Probability | volume = 51 | pages = 39–59 | year = 2003 | isbn = 978-0-387-00211-8 }}</ ...bability | volume = 26 | issue = 4 | pages = 744–756 | publisher = Applied Probability Trust | doi = 10.2307/3214379 | jstor = 3214379 | s2cid = 54623773 | url = ...

{{Short description|Conventional name of the gamma distribution when applied to macromolecular polydispersity}} {{Infobox probability distribution ...

{{Short description|Probability distribution in applied statistics}} {{Probability distribution ...

In [[probability theory]], a '''random recursive tree''' is a [[rooted tree]] chosen [[Discr With high probability, the longest path from the root to the leaf of an <math>n</math>-vertex ran ...