# beta-binomial distribution

beta-binomial distribution
биом. бета-биномиальное распределение

English-russian biological dictionary. 2013.

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• Beta-binomial model — In empirical Bayes methods, the Beta binomial model is an analytic model where the likelihood function L(x| heta) is specifed by a binomial distribution:L(x| heta) = operatorname{Bin}(x, heta),::: = {nchoose x} heta^x(1 heta)^{n x},and the… …   Wikipedia

• Binomial distribution — Probability distribution name =Binomial type =mass pdf cdf Colors match the image above parameters =n geq 0 number of trials (integer) 0leq p leq 1 success probability (real) support =k in {0,dots,n}! pdf ={nchoose k} p^k (1 p)^{n k} ! cdf =I {1… …   Wikipedia

• Negative binomial distribution — Probability mass function The orange line represents the mean, which is equal to 10 in each of these plots; the green line shows the standard deviation. notation: parameters: r > 0 number of failures until the experiment is stopped (integer,… …   Wikipedia

• Beta-Binomialverteilung — Die Beta Binomialverteilung ist eine univariate diskrete Wahrscheinlichkeitsverteilung, welche als eine Art Verallgemeinerung der Binomialverteilung angesehen werden kann, da in dieser die Wahrscheinlichkeit von x Erfolgen auf n bei gegebener… …   Deutsch Wikipedia

• Beta distribution — Probability distribution name =Beta| type =density pdf cdf parameters =alpha > 0 shape (real) eta > 0 shape (real) support =x in [0; 1] ! pdf =frac{x^{alpha 1}(1 x)^{eta 1 {mathrm{B}(alpha,eta)}! cdf =I x(alpha,eta)! mean… …   Wikipedia

• Beta function — This article is about Euler beta function. For other uses, see Beta function (disambiguation). In mathematics, the beta function, also called the Euler integral of the first kind, is a special function defined by for The beta function was studied …   Wikipedia

• Binomial proportion confidence interval — In statistics, a binomial proportion confidence interval is a confidence interval for a proportion in a statistical population. It uses the proportion estimated in a statistical sample and allows for sampling error. There are several formulas for …   Wikipedia

• Binomial coefficient — The binomial coefficients can be arranged to form Pascal s triangle. In mathematics, binomial coefficients are a family of positive integers that occur as coefficients in the binomial theorem. They are indexed by two nonnegative integers; the… …   Wikipedia

• Probability distribution — This article is about probability distribution. For generalized functions in mathematical analysis, see Distribution (mathematics). For other uses, see Distribution (disambiguation). In probability theory, a probability mass, probability density …   Wikipedia

• Compound probability distribution — In probability theory, a compound probability distribution is the probability distribution that results from assuming that a random variable is distributed according to some parametrized distribution F with an unknown parameter θ that is… …   Wikipedia

• Multivariate Pólya distribution — The multivariate Pólya distribution, named after George Pólya, also called the Dirichlet compound multinomial distribution, is a compound probability distribution, where a probability vector p is drawn from a Dirichlet distribution with parameter …   Wikipedia

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