smallest order statistic

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• Order statistic — Probability distributions for the n = 5 order statistics of an exponential distribution with θ = 3 In statistics, the kth order statistic of a statistical sample is equal to its kth smallest value. Together with rank statistics, order statistics… …   Wikipedia

• Selection algorithm — In computer science, a selection algorithm is an algorithm for finding the kth smallest number in a list (such a number is called the kth order statistic). This includes the cases of finding the minimum, maximum, and median elements. There are… …   Wikipedia

• Rankit — In statistics, the rankits of the data points in a data set consisting simply of a list of scalars are expected values of order statistics of the standard normal distribution corresponding to data points in a manner determined by the order in… …   Wikipedia

• Sample maximum and minimum — Box plots of the Michelson–Morley experiment, showing sample maximums and minimums. In statistics, the maximum and sample minimum, also called the largest observation, and smallest observation, are the values of the greatest and least elements of …   Wikipedia

• Multiple comparisons — In statistics, the multiple comparisons or multiple testing problem occurs when one considers a set of statistical inferences simultaneously.[1] Errors in inference, including confidence intervals that fail to include their corresponding… …   Wikipedia

• Shapiro-Wilk test — In statistics, the Shapiro Wilk test tests the null hypothesis that a sample x 1, ..., x n came from a normally distributed population. It was published in 1965 by Samuel Shapiro and Martin Wilk.The test statistic is:W = {left(sum {i=1}^n a i x… …   Wikipedia

• Median — This article is about the statistical concept. For other uses, see Median (disambiguation). In probability theory and statistics, a median is described as the numerical value separating the higher half of a sample, a population, or a probability… …   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

• Five-number summary — In descriptive statistics, the five number summary of a data set consists of:# the minimum (smallest observation) # the lower quartile or first quartile (which cuts off the lowest 25% of the data) # the median (middle value) # the upper quartile… …   Wikipedia

• Shifted Gompertz distribution — Probability distribution name = Shifted Gompertz type =density pdf cdf parameters =b>0 scale (real) eta>0 shape (real) support =x in mathbb{R}^+ pdf =b e^{ bx} e^{ eta e^{ bxleft [1 + etaleft(1 e^{ bx} ight) ight] cdf =left(1 e^{ bx} ight)e^{ eta …   Wikipedia

• statistics — /steuh tis tiks/, n. 1. (used with a sing. v.) the science that deals with the collection, classification, analysis, and interpretation of numerical facts or data, and that, by use of mathematical theories of probability, imposes order and… …   Universalium