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{{Distinguish|Bernoulli distribution}} | name = Continuous Bernoulli distribution ...

{{short description|1=Family of curves of the form r^n = a^n cos(nθ)}} In [[algebraic geometry]], the '''sinusoidal spirals''' are a family of curves defined by the equation in [[polar coordinates]] ...

...ings.<ref>{{cite report|title=A zero emission concept analysis of a single family house |url=https://brage.bibsys.no/xmlui/bitstream/handle/11250/2387643/ZEB This equation is simply an application of [[Bernoulli's principle]] in the case where the inlet and outlet have the same diameter ...

...that ''X'' is [[compact space|compact]]. Let φ = (φ_''n'') be a family of functions on ''X''_''n'' taking values in an abelian group ''V for some ''weight function'' ''w''. The family φ is then a ''distribution'' on the projective system ''X''. ...

* A [[binomial distribution]] with parameters ''n'' = 1 and ''p'' is a [[Bernoulli distribution]] with parameter ''p''. Some are self-replicating, meaning that the scaling yields the same family of distributions, albeit with a different parameter: ...

Beltrami fields are relevant in fluid dynamics, as they offer a classical family of stationary solutions to the Euler equation in three dimensions.<ref name ...ial u}{\partial t}=0 </math>, we can introduce the [[Bernoulli's principle|Bernoulli]] function, <math>B := p + \frac{1}{2}\lVert u \rVert^2</math>, and the [[V ...

In mathematics, the '''Bateman polynomials''' are a family ''F''_''n'' of [[orthogonal polynomials]] introduced by {{harvs|t ...z | first1=Leonard | title=Some polynomials of Touchard connected with the Bernoulli numbers | doi=10.4153/CJM-1957-021-9 | mr=0085361 | year=1957 | journal=[[C ...

* [[Euler–Bernoulli beam equation]], a cornerstone of engineering === Bernoulli family === ...

...at the response follows a distribution that is a member of the exponential family, a [[generalized linear model]] may be more appropriate to use, and moreove ...nder the exponential family context, as well as specific forms for Normal, Bernoulli, Poisson, and Gamma. In addition, we describe the applications and use of v ...

...e log-odds are the natural parameter for the [[exponential family]] of the Bernoulli distribution, and thus it is the simplest to use for computations. ...

| thesis_title = Non-Bernoulli Behavior of the Roots of K-automorphisms .... He was the second of three sons, the others being Gregory and James. The family moved to [[Fort Collins, Colorado|Fort Collins]] when Daniel was very young ...

...>''p''</sub>, a [[profinite group|profinite ''p''-group]], or a ''p''-adic family of [[Galois representation]]s, and the image could be the [[p-adic number|' ...ctions]]. For example, Kubota–Leopoldt used [[Kummer's congruence]]s for [[Bernoulli number]]s to construct a ''p''-adic ''L''-function, the '''''p''-adic Riema ...

...Y</math> given the predictor process is specified within the [[exponential family]]. However it is also sufficient to consider the functional quasi-likelihoo ==Exponential family response== ...

...distribution models the probability of the first success in a sequence of Bernoulli trials and is characterized by a single parameter, p, which is the probabil The negative binomial distribution is used to model the number of Bernoulli trials needed before a particular number of successes is achieved. It is ch ...

...two possible parameters, the minimax rule can be found by considering the family of squares <math>Q(c) = \{(R_1, R_2): 0 \leq R_1 \leq c, 0 \leq R_2 \leq c ...ties of <math>\theta_1</math> and <math>\theta_2</math> respectively, is a family of points with Bayes risk <math>c</math>. The minimum Bayes risk for the de ...

His family came from [[Lindau]] on [[Lake Constance]]. He studied at the Universities * ''Lecture'' in ''Die Basler Mathematiker Daniel Bernoulli und Leonhard Euler'', Verhandlungen der Naturforschenden Gesellschaft in Ba ...

...''' For functions ''k''(''n''), ''ε''(''n''), ''d''(''n''), ''m''(''n'') a family Ext&nbsp;=&nbsp;{Ext_''n''} of functions {{details|Bernoulli sequence}} ...

| {{partial|Bernoulli}} | {{partial|Bernoulli, Poisson}} ...

Compound distributions derived from [[exponential family]] distributions often have a closed form. ...o a distribution <math>X</math> that has a defined expected value yields a Bernoulli distribution with success probability <math>E[X]</math>. An interesting con ...

...or discrete distribution and this distribution may be in the [[exponential family]]. In the latter case, there would be a canonical link that connects predic ...to Additive Functional Regression for Multiple Predictor Functions|journal=Bernoulli|year=2017}}</ref> technique has been developed to obtain consistent estimat ...