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57 relations: Absolute continuity, Acta Mathematica Hungarica, Annals of Mathematical Statistics, Bapat–Beg theorem, Bernstein polynomial, Beta distribution, Box plot, Central limit theorem, Concomitant (statistics), Cumulative distribution function, Delta method, Descriptive statistics, Erlang distribution, Exploratory data analysis, Exponential distribution, Frederick Mosteller, Generalized extreme value distribution, Independence (probability theory), Independent and identically distributed random variables, Institute of Mathematical Statistics, Interquartile range, Joint probability distribution, Kurtosis, L-estimator, Laplace distribution, Laplace transform, Marginal distribution, Maxima and minima, Median, Multinomial distribution, Nonparametric statistics, Parity (mathematics), Percentile, Point estimation, Probability density function, Probability distribution, Probability theory, Quantile, Quantile function, Quartile, Raghu Raj Bahadur, Range (statistics), Rank-size distribution, Rankit, Realization (probability), Sample (statistics), Sample maximum and minimum, Sample mean and covariance, Sampling (statistics), Selection algorithm, ..., Sorting algorithm, Statistical inference, Statistics, Susan P. Holmes, Time series, Uniform distribution (continuous), Unit interval. Expand index (7 more) »
Absolute continuity
In calculus, absolute continuity is a smoothness property of functions that is stronger than continuity and uniform continuity.
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Acta Mathematica Hungarica
Acta Mathematica Hungarica is a peer-reviewed mathematics journal of the Hungarian Academy of Sciences, published by Akadémiai Kiadó and Springer Science+Business Media.
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Annals of Mathematical Statistics
The Annals of Mathematical Statistics was a peer-reviewed statistics journal published by the Institute of Mathematical Statistics from 1930 to 1972.
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Bapat–Beg theorem
In probability theory, the Bapat–Beg theorem gives the joint probability distribution of order statistics of independent but not necessarily identically distributed random variables in terms of the cumulative distribution functions of the random variables.
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Bernstein polynomial
In the mathematical field of numerical analysis, a Bernstein polynomial, named after Sergei Natanovich Bernstein, is a polynomial in the Bernstein form, that is a linear combination of Bernstein basis polynomials.
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Beta distribution
In probability theory and statistics, the beta distribution is a family of continuous probability distributions defined on the interval 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.
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Box plot
In descriptive statistics, a box plot or boxplot is a method for graphically depicting groups of numerical data through their quartiles.
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Central limit theorem
In probability theory, the central limit theorem (CLT) establishes that, in some situations, when independent random variables are added, their properly normalized sum tends toward a normal distribution (informally a "bell curve") even if the original variables themselves are not normally distributed.
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Concomitant (statistics)
In statistics, the concept of a concomitant, also called the induced order statistic, arises when one sorts the members of a random sample according to corresponding values of another random sample.
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Cumulative distribution function
In probability theory and statistics, the cumulative distribution function (CDF, also cumulative density function) of a real-valued random variable X, or just distribution function of X, evaluated at x, is the probability that X will take a value less than or equal to x. In the case of a continuous distribution, it gives the area under the probability density function from minus infinity to x. Cumulative distribution functions are also used to specify the distribution of multivariate random variables.
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Delta method
In statistics, the delta method is a result concerning the approximate probability distribution for a function of an asymptotically normal statistical estimator from knowledge of the limiting variance of that estimator.
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Descriptive statistics
A descriptive statistic (in the count noun sense) is a summary statistic that quantitatively describes or summarizes features of a collection of information, while descriptive statistics in the mass noun sense is the process of using and analyzing those statistics.
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Erlang distribution
No description.
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Exploratory data analysis
In statistics, exploratory data analysis (EDA) is an approach to analyzing data sets to summarize their main characteristics, often with visual methods.
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Exponential distribution
No description.
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Frederick Mosteller
Charles Frederick Mosteller (December 24, 1916 – July 23, 2006), usually known as Frederick Mosteller, was one of the most eminent statisticians of the 20th century.
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Generalized extreme value distribution
In probability theory and statistics, the generalized extreme value (GEV) distribution is a family of continuous probability distributions developed within extreme value theory to combine the Gumbel, Fréchet and Weibull families also known as type I, II and III extreme value distributions.
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Independence (probability theory)
In probability theory, two events are independent, statistically independent, or stochastically independent if the occurrence of one does not affect the probability of occurrence of the other.
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Independent and identically distributed random variables
In probability theory and statistics, a sequence or other collection of random variables is independent and identically distributed (i.i.d. or iid or IID) if each random variable has the same probability distribution as the others and all are mutually independent.
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Institute of Mathematical Statistics
The Institute of Mathematical Statistics is an international professional and scholarly society devoted to the development, dissemination, and application of statistics and probability.
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Interquartile range
In descriptive statistics, the interquartile range (IQR), also called the midspread or middle 50%, or technically H-spread, is a measure of statistical dispersion, being equal to the difference between 75th and 25th percentiles, or between upper and lower quartiles, IQR.
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Joint probability distribution
Given random variables X, Y,..., that are defined on a probability space, the joint probability distribution for X, Y,...
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Kurtosis
In probability theory and statistics, kurtosis (from κυρτός, kyrtos or kurtos, meaning "curved, arching") is a measure of the "tailedness" of the probability distribution of a real-valued random variable.
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L-estimator
In statistics, an L-estimator is an estimator which is an L-statistic – a linear combination of order statistics of the measurements.
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Laplace distribution
In probability theory and statistics, the Laplace distribution is a continuous probability distribution named after Pierre-Simon Laplace.
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Laplace transform
In mathematics, the Laplace transform is an integral transform named after its discoverer Pierre-Simon Laplace.
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Marginal distribution
In probability theory and statistics, the marginal distribution of a subset of a collection of random variables is the probability distribution of the variables contained in the subset.
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Maxima and minima
In mathematical analysis, the maxima and minima (the respective plurals of maximum and minimum) of a function, known collectively as extrema (the plural of extremum), are the largest and smallest value of the function, either within a given range (the local or relative extrema) or on the entire domain of a function (the global or absolute extrema).
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Median
The median is the value separating the higher half of a data sample, a population, or a probability distribution, from the lower half.
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Multinomial distribution
In probability theory, the multinomial distribution is a generalization of the binomial distribution.
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Nonparametric statistics
Nonparametric statistics is the branch of statistics that is not based solely on parameterized families of probability distributions (common examples of parameters are the mean and variance).
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Parity (mathematics)
In mathematics, parity is the property of an integer's inclusion in one of two categories: even or odd.
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Percentile
A percentile (or a centile) is a measure used in statistics indicating the value below which a given percentage of observations in a group of observations fall.
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Point estimation
In statistics, point estimation involves the use of sample data to calculate a single value (known as a point estimate or statistic) which is to serve as a "best guess" or "best estimate" of an unknown population parameter (for example, the population mean).
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Probability density function
In probability theory, a probability density function (PDF), or density of a continuous random variable, is a function, whose value at any given sample (or point) in the sample space (the set of possible values taken by the random variable) can be interpreted as providing a relative likelihood that the value of the random variable would equal that sample.
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Probability distribution
In probability theory and statistics, a probability distribution is a mathematical function that provides the probabilities of occurrence of different possible outcomes in an experiment.
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Probability theory
Probability theory is the branch of mathematics concerned with probability.
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Quantile
In statistics and probability quantiles are cut points dividing the range of a probability distribution into contiguous intervals with equal probabilities, or dividing the observations in a sample in the same way.
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Quantile function
In probability and statistics, the quantile function specifies, for a given probability in the probability distribution of a random variable, the value at which the probability of the random variable is less than or equal to the given probability.
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Quartile
A quartile is a type of quantile.
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Raghu Raj Bahadur
Raghu Raj Bahadur (30 April 1924 – 7 July 1997) was an Indian statistician considered by peers to be "one of the architects of the modern theory of mathematical statistics".
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Range (statistics)
In statistics, the range of a set of data is the difference between the largest and smallest values.
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Rank-size distribution
Rank-size distribution is the distribution of size by rank, in decreasing order of size.
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Rankit
In statistics, rankits of a set of data are the expected values of the order statistics of a sample from the standard normal distribution the same size as the data.
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Realization (probability)
In probability and statistics, a realization, observation, or observed value, of a random variable is the value that is actually observed (what actually happened).
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Sample (statistics)
In statistics and quantitative research methodology, a data sample is a set of data collected and/or selected from a statistical population by a defined procedure.
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Sample maximum and minimum
In statistics, the sample maximum and sample minimum, also called the largest observation and smallest observation, are the values of the greatest and least elements of a sample.
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Sample mean and covariance
The sample mean or empirical mean and the sample covariance are statistics computed from a collection (the sample) of data on one or more random variables.
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Sampling (statistics)
In statistics, quality assurance, and survey methodology, sampling is the selection of a subset (a statistical sample) of individuals from within a statistical population to estimate characteristics of the whole population.
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Selection algorithm
In computer science, a selection algorithm is an algorithm for finding the kth smallest number in a list or array; such a number is called the kth order statistic.
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Sorting algorithm
In computer science, a sorting algorithm is an algorithm that puts elements of a list in a certain order.
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Statistical inference
Statistical inference is the process of using data analysis to deduce properties of an underlying probability distribution.
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Statistics
Statistics is a branch of mathematics dealing with the collection, analysis, interpretation, presentation, and organization of data.
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Susan P. Holmes
Susan P. Holmes is a statistician and professor at Stanford University.
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Time series
A time series is a series of data points indexed (or listed or graphed) in time order.
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Uniform distribution (continuous)
In probability theory and statistics, the continuous uniform distribution or rectangular distribution is a family of symmetric probability distributions such that for each member of the family, all intervals of the same length on the distribution's support are equally probable.
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Unit interval
In mathematics, the unit interval is the closed interval, that is, the set of all real numbers that are greater than or equal to 0 and less than or equal to 1.
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References
[1] https://en.wikipedia.org/wiki/Order_statistic
