equality probability

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• probability and statistics — ▪ mathematics Introduction       the branches of mathematics concerned with the laws governing random events, including the collection, analysis, interpretation, and display of numerical data. Probability has its origin in the study of gambling… …   Universalium

• probability theory — Math., Statistics. the theory of analyzing and making statements concerning the probability of the occurrence of uncertain events. Cf. probability (def. 4). [1830 40] * * * Branch of mathematics that deals with analysis of random events.… …   Universalium

• Convolution of probability distributions — The convolution of probability distributions arises in probability theory and statistics as the operation in terms of probability distributions that corresponds to the addition of independent random variables and, by extension, to forming linear… …   Wikipedia

• Conditioning (probability) — Beliefs depend on the available information. This idea is formalized in probability theory by conditioning. Conditional probabilities, conditional expectations and conditional distributions are treated on three levels: discrete probabilities,… …   Wikipedia

• Characteristic function (probability theory) — The characteristic function of a uniform U(–1,1) random variable. This function is real valued because it corresponds to a random variable that is symmetric around the origin; however in general case characteristic functions may be complex valued …   Wikipedia

• Kumaraswamy distribution — Probability distribution name =Kumaraswamy type =density pdf cdf parameters =a>0, (real)b>0, (real) support =x in [0,1] , pdf =abx^{a 1}(1 x^a)^{b 1}, cdf = [1 (1 x^a)^b] , mean =frac{bGamma(1+1/a)Gamma(b)}{Gamma(1+1/a+b)}, median =left(1… …   Wikipedia

• Log-normal distribution — Probability distribution name =Log normal type =density pdf μ=0 cdf μ=0 parameters =sigma > 0 infty < mu < infty support = [0,+infty)! pdf =frac{1}{xsigmasqrt{2piexpleft [ frac{left(ln(x) mu ight)^2}{2sigma^2} ight] cdf =frac{1}{2}+frac{1}{2}… …   Wikipedia

• Random variable — A random variable is a rigorously defined mathematical entity used mainly to describe chance and probability in a mathematical way. The structure of random variables was developed and formalized to simplify the analysis of games of chance,… …   Wikipedia

• Hölder's inequality — In mathematical analysis Hölder s inequality, named after Otto Hölder, is a fundamental inequality between integrals and an indispensable tool for the study of Lp spaces. Let (S, Σ, μ) be a measure space and let 1 ≤ p, q ≤ ∞ with… …   Wikipedia

• Lorenz curve — The Lorenz curve is a graphical representation of the cumulative distribution function of a probability distribution; it is a graph showing the proportion of the distribution assumed by the bottom y % of the values. It is often used to represent… …   Wikipedia

• Sufficient statistic — In statistics, a sufficient statistic is a statistic which has the property of sufficiency with respect to a statistical model and its associated unknown parameter, meaning that no other statistic which can be calculated from the same sample… …   Wikipedia