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Kernel density estimation

Index Kernel density estimation

In statistics, kernel density estimation (KDE) is a non-parametric way to estimate the probability density function of a random variable. [1]

72 relations: Analytica (software), Annals of Mathematical Statistics, Annals of Statistics, Apache Spark, Bernard Silverman, Big O notation, C (programming language), C++, Characteristic function (probability theory), CrimeStat, Cross-validation (statistics), D3.js, Density estimation, Discrete Laplace operator, Econometrics, ELKI, Emanuel Parzen, Esri, Fourier transform, Free parameter, Gaussian function, GNU Octave, Gnuplot, Haskell (programming language), Head/tail Breaks, Heat equation, Heat kernel, Histogram, IGOR Pro, Independent and identically distributed random variables, Java (programming language), JavaScript, JMP (statistical software), Julia (programming language), Kernel (statistics), Kernel regression, Kernel smoother, Loss function, MATLAB, Mean integrated squared error, Mean shift, Microsoft Excel, Minitab, Multivariate kernel density estimation, Murray Rosenblatt, NAG Numerical Library, Nonlinear dimensionality reduction, Nonparametric statistics, Normal distribution, Origin (software), ..., Perl, PHP, Probability density function, Python (programming language), R (programming language), Random number generation, Random variable, Rug plot, Sample (statistics), SAS (software), Scale space, Signal processing, Smoothing, Standard deviation, Stata, Statistical population, Statistics, Thermodynamics, Univariate, Variable kernel density estimation, Weka (machine learning), Wolfram Mathematica. Expand index (22 more) »

Analytica (software)

Analytica is a visual software package developed by Lumina Decision Systems for creating, analyzing and communicating quantitative decision models.

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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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Annals of Statistics

The Annals of Statistics is a peer-reviewed statistics journal published by the Institute of Mathematical Statistics.

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Apache Spark

Apache Spark is an open-source cluster-computing framework.

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Bernard Silverman

Sir Bernard Walter Silverman, (born 22 February 1952) is a British statistician and Anglican Priest.

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Big O notation

Big O notation is a mathematical notation that describes the limiting behaviour of a function when the argument tends towards a particular value or infinity.

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C (programming language)

C (as in the letter ''c'') is a general-purpose, imperative computer programming language, supporting structured programming, lexical variable scope and recursion, while a static type system prevents many unintended operations.

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C++

C++ ("see plus plus") is a general-purpose programming language.

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Characteristic function (probability theory)

In probability theory and statistics, the characteristic function of any real-valued random variable completely defines its probability distribution.

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CrimeStat

CrimeStat is a crime mapping software program.

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Cross-validation (statistics)

Cross-validation, sometimes called rotation estimation, or out-of-sample testing is any of various similar model validation techniques for assessing how the results of a statistical analysis will generalize to an independent data set.

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D3.js

D3.js (or just D3 for Data-Driven Documents) is a JavaScript library for producing dynamic, interactive data visualizations in web browsers.

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Density estimation

In probability and statistics, density estimation is the construction of an estimate, based on observed data, of an unobservable underlying probability density function.

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Discrete Laplace operator

In mathematics, the discrete Laplace operator is an analog of the continuous Laplace operator, defined so that it has meaning on a graph or a discrete grid.

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Econometrics

Econometrics is the application of statistical methods to economic data and is described as the branch of economics that aims to give empirical content to economic relations.

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ELKI

ELKI (for Environment for DeveLoping KDD-Applications Supported by Index-Structures) is a knowledge discovery in databases (KDD, "data mining") software framework developed for use in research and teaching originally at the database systems research unit of Professor Hans-Peter Kriegel at the Ludwig Maximilian University of Munich, Germany.

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Emanuel Parzen

Emanuel Parzen (April 21, 1929 – February 6, 2016) was an American statistician.

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Esri

Esri (a.k.a. Environmental Systems Research Institute) is an international supplier of geographic information system (GIS) software, web GIS and geodatabase management applications.

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Fourier transform

The Fourier transform (FT) decomposes a function of time (a signal) into the frequencies that make it up, in a way similar to how a musical chord can be expressed as the frequencies (or pitches) of its constituent notes.

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Free parameter

A free parameter is a variable in a mathematical model which cannot be predicted precisely or constrained by the model and must be estimated experimentally or theoretically.

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Gaussian function

In mathematics, a Gaussian function, often simply referred to as a Gaussian, is a function of the form: for arbitrary real constants, and.

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GNU Octave

GNU Octave is software featuring a high-level programming language, primarily intended for numerical computations.

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Gnuplot

gnuplot is a command-line program that can generate two- and three-dimensional plots of functions, data, and data fits.

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Haskell (programming language)

Haskell is a standardized, general-purpose compiled purely functional programming language, with non-strict semantics and strong static typing.

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Head/tail Breaks

Head/tail breaks is a clustering algorithm scheme for data with a heavy-tailed distribution such as power laws and lognormal distributions.

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Heat equation

The heat equation is a parabolic partial differential equation that describes the distribution of heat (or variation in temperature) in a given region over time.

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Heat kernel

In the mathematical study of heat conduction and diffusion, a heat kernel is the fundamental solution to the heat equation on a specified domain with appropriate boundary conditions.

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Histogram

A histogram is an accurate representation of the distribution of numerical data.

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IGOR Pro

IGOR Pro is a scientific data analysis software, numerical computing environment and programming language that runs on Windows or Mac operating systems.

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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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Java (programming language)

Java is a general-purpose computer-programming language that is concurrent, class-based, object-oriented, and specifically designed to have as few implementation dependencies as possible.

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JavaScript

JavaScript, often abbreviated as JS, is a high-level, interpreted programming language.

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JMP (statistical software)

JMP (pronounced "jump") is a suite of computer programs for statistical analysis developed by the JMP business unit of SAS Institute.

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Julia (programming language)

Julia is a high-level dynamic programming language designed to address the needs of high-performance numerical analysis and computational science, without the typical need of separate compilation to be fast, while also being effective for general-purpose programming, web use or as a specification language.

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Kernel (statistics)

The term kernel is a term in statistical analysis used to refer to a window function.

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Kernel regression

Kernel regression is a non-parametric technique in statistics to estimate the conditional expectation of a random variable.

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Kernel smoother

A kernel smoother is a statistical technique to estimate a real valued function f: \mathbb^p \to \mathbb as the weighted average of neighboring observed data.

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Loss function

In mathematical optimization, statistics, econometrics, decision theory, machine learning and computational neuroscience, a loss function or cost function is a function that maps an event or values of one or more variables onto a real number intuitively representing some "cost" associated with the event.

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MATLAB

MATLAB (matrix laboratory) is a multi-paradigm numerical computing environment and proprietary programming language developed by MathWorks.

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Mean integrated squared error

In statistics, the mean integrated squared error (MISE) is used in density estimation.

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Mean shift

Mean shift is a non-parametric feature-space analysis technique for locating the maxima of a density function, a so-called mode-seeking algorithm.

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Microsoft Excel

Microsoft Excel is a spreadsheet developed by Microsoft for Windows, macOS, Android and iOS.

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Minitab

Minitab is a statistics package developed at the Pennsylvania State University by researchers Barbara F. Ryan, Thomas A. Ryan, Jr., and Brian L. Joiner in 1972.

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Multivariate kernel density estimation

Kernel density estimation is a nonparametric technique for density estimation i.e., estimation of probability density functions, which is one of the fundamental questions in statistics.

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Murray Rosenblatt

Murray Rosenblatt (born September 7, 1926) is a statistician specializing in time series analysis who is a professor of mathematics at the University of California, San Diego.

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NAG Numerical Library

The NAG Numerical Library is a software product developed and sold by The Numerical Algorithms Group.

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Nonlinear dimensionality reduction

High-dimensional data, meaning data that requires more than two or three dimensions to represent, can be difficult to interpret.

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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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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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Origin (software)

Origin is a proprietary computer program for interactive scientific graphing and data analysis.

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Perl

Perl is a family of two high-level, general-purpose, interpreted, dynamic programming languages, Perl 5 and Perl 6.

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PHP

PHP: Hypertext Preprocessor (or simply PHP) is a server-side scripting language designed for Web development, but also used as a general-purpose programming language.

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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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Python (programming language)

Python is an interpreted high-level programming language for general-purpose programming.

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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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Random number generation

Random number generation is the generation of a sequence of numbers or symbols that cannot be reasonably predicted better than by a random chance, usually through a hardware random-number generator (RNG).

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Random variable

In probability and statistics, a random variable, random quantity, aleatory variable, or stochastic variable is a variable whose possible values are outcomes of a random phenomenon.

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Rug plot

A rug plot is a graphical representation of data where the x- or y-values of individual data points are displayed as perpendicular hash marks along the corresponding axes of the graph.

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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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SAS (software)

SAS (previously "Statistical Analysis System") is a software suite developed by SAS Institute for advanced analytics, multivariate analyses, business intelligence, data management, and predictive analytics.

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Scale space

Scale-space theory is a framework for multi-scale signal representation developed by the computer vision, image processing and signal processing communities with complementary motivations from physics and biological vision.

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Signal processing

Signal processing concerns the analysis, synthesis, and modification of signals, which are broadly defined as functions conveying "information about the behavior or attributes of some phenomenon", such as sound, images, and biological measurements.

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Smoothing

In statistics and image processing, to smooth a data set is to create an approximating function that attempts to capture important patterns in the data, while leaving out noise or other fine-scale structures/rapid phenomena.

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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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Stata

Stata is a general-purpose statistical software package created in 1985 by StataCorp.

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Statistical population

In statistics, a population is a set of similar items or events which is of interest for some question or experiment.

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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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Thermodynamics

Thermodynamics is the branch of physics concerned with heat and temperature and their relation to energy and work.

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Univariate

In mathematics, univariate refers to an expression, equation, function or polynomial of only one variable.

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Variable kernel density estimation

In statistics, adaptive or "variable-bandwidth" kernel density estimation is a form of kernel density estimation in which the size of the kernels used in the estimate are varied depending upon either the location of the samples or the location of the test point.

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Weka (machine learning)

Waikato Environment for Knowledge Analysis (Weka) is a suite of machine learning software written in Java, developed at the University of Waikato, New Zealand.

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Wolfram Mathematica

Wolfram Mathematica (usually termed Mathematica) is a modern technical computing system spanning most areas of technical computing — including neural networks, machine learning, image processing, geometry, data science, visualizations, and others.

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References

[1] https://en.wikipedia.org/wiki/Kernel_density_estimation

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