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66 relations: Ancillary statistic, Annals of Statistics, Antarctica, Arithmetic mean, Bias (statistics), Bootstrapping (statistics), Brian D. Ripley, Central limit theorem, Central tendency, Data set, Efficiency (statistics), Estimator, Fisher consistency, Gâteaux derivative, Huber loss, Imputation (statistics), Independent and identically distributed random variables, Interquartile range, Journal of the American Statistical Association, Kalman filter, L-estimator, Linear regression, Lipschitz continuity, Location parameter, M-estimator, Masreliez's theorem, Maximum likelihood estimation, Median, Median absolute deviation, Missing data, Mixture distribution, Mixture model, Normal distribution, Numerical Recipes, One-sided limit, Outlier, Ozone depletion, Parameter space, Parametric statistics, Pivotal quantity, Probability distribution, Q–Q plot, R (programming language), Range (statistics), Regression analysis, Robust confidence intervals, Robust regression, Sampling distribution, Scale parameter, Simon Newcomb, ..., Simple linear regression, Speed of light, Standard deviation, State-space representation, Statistic, Statistical assumption, Statistical dispersion, Statistics, Student's t-distribution, Student's t-test, Test statistic, The American Statistician, Trimmed estimator, Truncated mean, Unit-weighted regression, Winsorizing. Expand index (16 more) »
Ancillary statistic
In statistics, an ancillary statistic is a statistic whose sampling distribution does not depend on the parameters of the model.
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Annals of Statistics
The Annals of Statistics is a peer-reviewed statistics journal published by the Institute of Mathematical Statistics.
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Antarctica
Antarctica is Earth's southernmost continent.
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Arithmetic mean
In mathematics and statistics, the arithmetic mean (stress on third syllable of "arithmetic"), or simply the mean or average when the context is clear, is the sum of a collection of numbers divided by the number of numbers in the collection.
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Bias (statistics)
Statistical bias is a feature of a statistical technique or of its results whereby the expected value of the results differs from the true underlying quantitative parameter being estimated.
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Bootstrapping (statistics)
In statistics, bootstrapping is any test or metric that relies on random sampling with replacement.
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Brian D. Ripley
Brian David Ripley FRSE (born 29 April 1952) is a British statistician.
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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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Central tendency
In statistics, a central tendency (or measure of central tendency) is a central or typical value for a probability distribution.
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Data set
A data set (or dataset) is a collection of data.
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Efficiency (statistics)
In the comparison of various statistical procedures, efficiency is a measure of quality of an estimator, of an experimental design, or of a hypothesis testing procedure.
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Estimator
In statistics, an estimator is a rule for calculating an estimate of a given quantity based on observed data: thus the rule (the estimator), the quantity of interest (the estimand) and its result (the estimate) are distinguished.
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Fisher consistency
In statistics, Fisher consistency, named after Ronald Fisher, is a desirable property of an estimator asserting that if the estimator were calculated using the entire population rather than a sample, the true value of the estimated parameter would be obtained.
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Gâteaux derivative
In mathematics, the Gâteaux differential or Gâteaux derivative is a generalization of the concept of directional derivative in differential calculus.
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Huber loss
In statistics, the Huber loss is a loss function used in robust regression, that is less sensitive to outliers in data than the squared error loss.
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Imputation (statistics)
In statistics, imputation is the process of replacing missing data with substituted values.
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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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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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Journal of the American Statistical Association
The Journal of the American Statistical Association (JASA) is the primary journal published by the American Statistical Association, the main professional body for statisticians in the United States.
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Kalman filter
Kalman filtering, also known as linear quadratic estimation (LQE), is an algorithm that uses a series of measurements observed over time, containing statistical noise and other inaccuracies, and produces estimates of unknown variables that tend to be more accurate than those based on a single measurement alone, by estimating a joint probability distribution over the variables for each timeframe.
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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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Linear regression
In statistics, linear regression is a linear approach to modelling the relationship between a scalar response (or dependent variable) and one or more explanatory variables (or independent variables).
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Lipschitz continuity
In mathematical analysis, Lipschitz continuity, named after Rudolf Lipschitz, is a strong form of uniform continuity for functions.
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Location parameter
In statistics, a location family is a class of probability distributions that is parametrized by a scalar- or vector-valued parameter x_0, which determines the "location" or shift of the distribution.
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M-estimator
In statistics, M-estimators are a broad class of estimators, which are obtained as the minima of sums of functions of the data.
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Masreliez's theorem
Masreliez theorem describes a recursive algorithm within the technology of extended Kalman filter, named after the Swedish-American physicist John Masreliez, who is its author.
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Maximum likelihood estimation
In statistics, maximum likelihood estimation (MLE) is a method of estimating the parameters of a statistical model, given observations.
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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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Median absolute deviation
In statistics, the median absolute deviation (MAD) is a robust measure of the variability of a univariate sample of quantitative data.
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Missing data
In statistics, missing data, or missing values, occur when no data value is stored for the variable in an observation.
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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.
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Mixture model
In statistics, a mixture model is a probabilistic model for representing the presence of subpopulations within an overall population, without requiring that an observed data set should identify the sub-population to which an individual observation belongs.
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Normal distribution
In probability theory, the normal (or Gaussian or Gauss or Laplace–Gauss) distribution is a very common continuous probability distribution.
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Numerical Recipes
Numerical Recipes is the generic title of a series of books on algorithms and numerical analysis by William H. Press, Saul A. Teukolsky, William T. Vetterling and Brian P. Flannery.
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One-sided limit
In calculus, a one-sided limit is either of the two limits of a function f(x) of a real variable x as x approaches a specified point either from below or from above.
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Outlier
In statistics, an outlier is an observation point that is distant from other observations.
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Ozone depletion
Ozone depletion describes two related events observed since the late 1970s: a steady lowering of about four percent in the total amount of ozone in Earth's atmosphere(the ozone layer), and a much larger springtime decrease in stratospheric ozone around Earth's polar regions.
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Parameter space
In science, a parameter space is the set of all possible combinations of values for all the different parameters contained in a particular mathematical model.
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Parametric statistics
Parametric statistics is a branch of statistics which assumes that sample data comes from a population that follows a probability distribution based on a fixed set of parameters.
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Pivotal quantity
In statistics, a pivotal quantity or pivot is a function of observations and unobservable parameters such that the function's probability distribution does not depend on the unknown parameters (including nuisance parameters).
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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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Q–Q plot
In statistics, a Q–Q (quantile-quantile) plot is a probability plot, which is a graphical method for comparing two probability distributions by plotting their quantiles against each other.
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R (programming language)
R is a programming language and free software environment for statistical computing and graphics that is supported by the R Foundation for Statistical Computing.
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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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Regression analysis
In statistical modeling, regression analysis is a set of statistical processes for estimating the relationships among variables.
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Robust confidence intervals
In statistics a robust confidence interval is a robust modification of confidence intervals, meaning that one modifies the non-robust calculations of the confidence interval so that they are not badly affected by outlying or aberrant observations in a data-set.
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Robust regression
In robust statistics, robust regression is a form of regression analysis designed to overcome some limitations of traditional parametric and non-parametric methods.
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Sampling distribution
In statistics, a sampling distribution or finite-sample distribution is the probability distribution of a given random-sample-based statistic.
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Scale parameter
In probability theory and statistics, a scale parameter is a special kind of numerical parameter of a parametric family of probability distributions.
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Simon Newcomb
Simon Newcomb (March 12, 1835 – July 11, 1909) was a Canadian–American astronomer, applied mathematician and autodidactic polymath, who was Professor of Mathematics in the U.S. Navy and at Johns Hopkins.
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Simple linear regression
In statistics, simple linear regression is a linear regression model with a single explanatory variable.
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Speed of light
The speed of light in vacuum, commonly denoted, is a universal physical constant important in many areas of physics.
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Standard deviation
In statistics, the standard deviation (SD, also represented by the Greek letter sigma σ or the Latin letter s) is a measure that is used to quantify the amount of variation or dispersion of a set of data values.
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State-space representation
In control engineering, a state-space representation is a mathematical model of a physical system as a set of input, output and state variables related by first-order differential equations or difference equations.
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Statistic
A statistic (singular) or sample statistic is a single measure of some attribute of a sample (e.g. its arithmetic mean value).
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Statistical assumption
Statistics, like all mathematical disciplines, does not infer valid conclusions from nothing.
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Statistical dispersion
In statistics, dispersion (also called variability, scatter, or spread) is the extent to which a distribution is stretched or squeezed.
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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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Student's t-distribution
In probability and statistics, Student's t-distribution (or simply the t-distribution) is any member of a family of continuous probability distributions that arises when estimating the mean of a normally distributed population in situations where the sample size is small and population standard deviation is unknown.
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Student's t-test
The t-test is any statistical hypothesis test in which the test statistic follows a Student's ''t''-distribution under the null hypothesis.
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Test statistic
A test statistic is a statistic (a quantity derived from the sample) used in statistical hypothesis testing.
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The American Statistician
The American Statistician is a quarterly peer-reviewed scientific journal covering statistics published by Taylor & Francis on behalf of the American Statistical Association.
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Trimmed estimator
In statistics, a trimmed estimator is an estimator derived from another estimator by excluding some of the extreme values, a process called truncation.
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Truncated mean
A truncated mean or trimmed mean is a statistical measure of central tendency, much like the mean and median.
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Unit-weighted regression
In statistics, unit-weighted regression is a simplified and robust version (Wainer & Thissen, 1976) of multiple regression analysis where only the intercept term is estimated.
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Winsorizing
Winsorizing or winsorization is the transformation of statistics by limiting extreme values in the statistical data to reduce the effect of possibly spurious outliers.
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Breakdown point, Empirical influence function, Influence function (statistics), Resistant statistic, Robust data analysis, Robust estimator, Robust statistic, Statistically resistant.
References
[1] https://en.wikipedia.org/wiki/Robust_statistics
