2017-07-30T23:50:04+03:00[Europe/Moscow] en true Stable distribution, Multivariate normal distribution, Hypergeometric distribution, Mixture distribution, Beta distribution, Binomial distribution, Rayleigh distribution, Normal distribution, F-distribution, Poisson distribution, Exponential distribution, Gamma distribution, Cauchy distribution, Triangular distribution, Benford's law, Pareto distribution, Fisher's z-distribution, Probit, Davis distribution, Rectified Gaussian distribution flashcards
Probability distributions

# Probability distributions

• Stable distribution
In probability theory, a distribution is said to be stable (or a random variable is said to be stable) if a linear combination of two independent copies of a random sample has the same distribution, up to location and scale parameters.
• Multivariate normal distribution
In probability theory and statistics, the multivariate normal distribution or multivariate Gaussian distribution, is a generalization of the one-dimensional (univariate) normal distribution to higher dimensions.
• Hypergeometric distribution
In probability theory and statistics, the hypergeometric distribution is a discrete probability distribution that describes the probability of successes in draws, without replacement, from a finite population of size that contains exactly successes, wherein each draw is either a success or a failure.
• Mixture distribution
In probability and statistics, a mixture distribution is the probability distribution of a random variable that is derived from a collection of other random variables as follows: first, a random variable is selected by chance from the collection according to given probabilities of selection, and then the value of the selected random variable is realized.
• Beta distribution
In probability theory and statistics, the beta distribution is a family of continuous probability distributions defined on the interval [0, 1] parametrized by two positive shape parameters, denoted by α and β, that appear as exponents of the random variable and control the shape of the distribution.
• Binomial distribution
In probability theory and statistics, the binomial distribution with parameters n and p is the discrete probability distribution of the number of successes in a sequence of n independent yes/no experiments, each of which yields success with probability p.
• Rayleigh distribution
In probability theory and statistics, the Rayleigh distribution /ˈreɪli/ is a continuous probability distribution for positive-valued random variables.
• Normal distribution
In probability theory, the normal (or Gaussian) distribution is a very common continuous probability distribution.
• F-distribution
In probability theory and statistics, the F-distribution, also known as Snedecor's F distribution or the Fisher–Snedecor distribution (after Ronald Fisher and George W. Snedecor) is a continuous probability distribution that arises frequently as the null distribution of a test statistic, most notably in the analysis of variance, e.
• Poisson distribution
In probability theory and statistics, the Poisson distribution (French pronunciation [pwasɔ̃]; in English usually /ˈpwɑːsɒn/), named after French mathematician Siméon Denis Poisson, is a discrete probability distribution that expresses the probability of a given number of events occurring in a fixed interval of time and/or space if these events occur with a known average rate and independently of the time since the last event.
• Exponential distribution
In probability theory and statistics, the exponential distribution (a.k.a. negative exponential distribution) is the probability distribution that describes the time between events in a Poisson process, i.
• Gamma distribution
In probability theory and statistics, the gamma distribution is a two-parameter family of continuous probability distributions.
• Cauchy distribution
The Cauchy distribution, named after Augustin Cauchy, is a continuous probability distribution.
• Triangular distribution
In probability theory and statistics, the triangular distribution is a continuous probability distribution with lower limit a, upper limit b and mode c, where a < b and a ≤ c ≤ b.
• Benford's law
Benford's law, also called the first-digit law, is an observation about the frequency distribution of leading digits in many real-life sets of numerical data.
• Pareto distribution
The Pareto distribution, named after the Italian civil engineer, economist, and sociologist Vilfredo Pareto, is a power law probability distribution that is used in description of social, scientific, geophysical, actuarial, and many other types of observable phenomena.
• Fisher's z-distribution
Fisher's z-distribution is the statistical distribution of half the logarithm of an F-distribution variate: It was first described by Ronald Fisher in a paper delivered at the International Mathematical Congress of 1924 in Toronto.
• Probit
In probability theory and statistics, the probit function is the quantile function associated with the standard normal distribution, which is commonly denoted as N(0,1).
• Davis distribution
In statistics, the Davis distributions are a family of continuous probability distributions.
• Rectified Gaussian distribution
In probability theory, the rectified Gaussian distribution is a modification of the Gaussian distribution when its negative elements are reset to 0 (analogous to an electronic rectifier).