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The '''Mittag-Leffler distributions''' are two families of [[probability distributions]] on the half-line <math>[0,\infty)</math>. They are parametrized by a real ==First family of Mittag-Leffler distributions== ...

| name = Geometric stable ...The [[Mittag-Leffler distribution]] is also a special case of a geometric stable distribution.<ref>{{cite journal|author=D.O. Cahoy|author2=V.V. Uhaikin|aut ...

...s functions or probability density functions respectively. Many well known distributions have simple convolutions. The following is a list of these convolutions. Ea ...lace of <math>X_i</math> and <math>Y</math> the names of the corresponding distributions and their parameters have been indicated. ...

...mmetric multivariate Laplace distribution variables are asymmetric Laplace distributions.<ref name=kotz>{{cite book|title=The Laplace Distribution and Generalizatio ...me=fit>{{cite journal|title=Goodness-of-fit tests for multivariate Laplace distributions|author=Fragiadakis, Konstantinos & Meintanis, Simos G.|journal=Mathematical ...

...distributions.jpg|thumb|Relationships among some of univariate probability distributions are illustrated with connected lines. dashed lines means approximate relati ...pages=2719–21 | title=ProbOnto: ontology and knowledge base of probability distributions | year=2016 | journal=Bioinformatics | last1 = Swat | first1 = MJ | last2 = ...

...)}} of {{math|''L''²(''G''(''F'')\''G''('''A'''))}} in terms of geometric data, where {{math|''G''}} is a reductive algebraic group defined over a gl ...invariant. Arthur later found the '''invariant trace formula''' and the '''stable trace formula''' which are more suitable for applications. The '''simple tr ...

...x''&nbsp;=&nbsp;''m'', the asymmetric Laplace consists of two exponential distributions of unequal scale back to back about ''x''&nbsp;=&nbsp;''m'', adjusted to as ...st2=Kozubowski |first2=Tomasz J. |year=2004 |title=New Families of Wrapped Distributions for Modeling Skew Circular Data |journal=Communications in Statistics – The ...

In accordance with the [[equivalence principle (geometric)|geometric Equivalence Principle]], a world manifold possesses a [[G-structure|Lorentz functions are different for different spatial distributions <math>\mathfrak F</math> ...

...s no one left, but if we model the number of people it is likely to remain stable for a long period of time before it eventually collapses. ...<math>\{ \operatorname{P}_x \mid x \in \mathcal{X} \}</math> the family of distributions where <math>\operatorname{P}_x</math> has original condition <math>Y_0 = x ...

Conversely for family of infinitely divisible distributions characterized by a generating triplet <math>(\gamma_t, A_t, \nu_t)</math> ===Additive Normal Tempered Stable Process=== ...

....80.9473 }}</ref> The method is a more complicated version of the [[matrix geometric method]] and is the classical solution method for M/G/1 chains.<ref>{{Cite ...t1 = Ramaswami | first1 = V. | doi = 10.1080/15326348808807077 | title = A stable recursion for the steady state vector in markov chains of m/g/1 type | jour ...

...S defines its [[feature vector]] representing the point's local and global geometric properties. Applications include segmentation, classification, structure di ...t</math>. The heat kernel is invariant under isometric transformations and stable under small perturbations to the isometry.<ref name="sun2009concise" /> In ...

...y [[Robert C. Merton]], applied the second most influential process, the [[geometric Brownian motion]], to [[option pricing]]. For this M. Scholes and R. Merton {{See also|Financial models with long-tailed distributions and volatility clustering}} ...

...ard | last3= LeGland | first3 = Francois | year=1998 |title=A differential geometric approach to nonlinear filtering: the projection filter |journal= IEEE Trans ...tempts to produce a locally optimal filter, however, it is not necessarily stable because the solutions of the underlying [[Riccati equation]] are not guaran ...

...ipler-2012" /> The unusual cosmic abundance of alpha nuclides has inspired geometric arrangements of alpha particles as a solution to nuclear shapes, although t ...[proton radius puzzle]]). Nuclide size ranges up to ≈ 6 fm. The largest '''stable''' nuclide, [[lead-208]], has an RMS charge radius of 5.5012 fm, and the la ...

A generalized form of influence is the <math>\rho</math>-stable influence, defined by: ...\in \{-1,1\}^n</math> are ''<math>\rho</math>-correlated'' if the marginal distributions of <math>x,y</math> are uniform, and <math>\operatorname{E}[x_iy_i] = \rho< ...

...{l}</math>, that is, the interval <math>l</math> of acceptance follows a [[geometric distribution]]. ...ntly and does not depend on random deviates from exotic or hard-to-compute distributions. ...

{{Short description|Method used to make artificial neural networks faster and stable by re-centering and re-scaling}} ...od used to make training of [[artificial neural network]]s faster and more stable through normalization of the layers' inputs by re-centering and re-scaling. ...

...nd related fields including [[point process]]es, [[spatial statistics]], [[geometric probability]], [[Continuum percolation theory|percolation]] [[percolation|t ...lume 24. Cambridge University Press, 2007.</ref> Network models based on [[geometric probability]] were later proposed and used in the late 1970s<ref name="klei ...

...gold-vinylidenes compared to the gold-carbenes. This was attributed to the geometric inability of aromatic vinylidene substituents to compete with Au for π-inte ...Hansjörg|last5=Li|first5=Zhongshu|date=2020-10-19|title=A Room‐Temperature Stable Distonic Radical Cation|url=http://dx.doi.org/10.1002/ange.202011677|journa ...