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Unimodality

Index Unimodality

In mathematics, unimodality means possessing a unique mode. [1]

61 relations: Alberto Pinto (mathematician), Beta distribution, Block-matching algorithm, Central tendency, Chebyshev's inequality, Complex quadratic polynomial, Control chart, Control limits, Credible interval, Discrete-stable distribution, Downhill folding, Exponentiated Weibull distribution, Fibonacci search technique, Gauss's inequality, George Marsaglia, Godfried Toussaint, Golden-section search, Hypsometry, J. Philip Grime, List of fractals by Hausdorff dimension, List of Greek and Latin roots in English/M, List of statistics articles, Location testing for Gaussian scale mixture distributions, Log-logistic distribution, Logarithmically concave sequence, Luus–Jaakola, Median, Milnor–Thurston kneading theory, Mixture distribution, Mode (statistics), Monotonic function, Multimodal distribution, Nelder–Mead method, Nonparametric skew, Normal distribution, Occupancy frequency distribution, Outline of statistics, Polyhedral combinatorics, Qualitative variation, Quasiconvex function, Random optimization, Ratio estimator, Rodica Simion, Rook polynomial, Rule of three (statistics), Single-cell transcriptomics, Skewness, Stability (probability), Statistical learning in language acquisition, Successive parabolic interpolation, ..., Symmetric probability distribution, Ternary search, Uncertainty principle, Unified neutral theory of biodiversity, Unimodal thresholding, Unimodality, Von Mises–Fisher distribution, Vysochanskij–Petunin inequality, Weibull distribution, Yuri Petunin, Ziggurat algorithm. Expand index (11 more) »

Alberto Pinto (mathematician)

Alberto Adrego Pinto is a full professor at the Department of Mathematics, Faculty of Sciences, University of Porto (Portugal).

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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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Block-matching algorithm

A Block Matching Algorithm is a way of locating matching macroblocks in a sequence of digital video frames for the purposes of motion estimation.

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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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Chebyshev's inequality

In probability theory, Chebyshev's inequality (also spelled as Tchebysheff's inequality, Нера́венство Чебышёва, also called Bienaymé-Chebyshev inequality) guarantees that, for a wide class of probability distributions, no more than a certain fraction of values can be more than a certain distance from the mean.

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Complex quadratic polynomial

A complex quadratic polynomial is a quadratic polynomial whose coefficients and variable are complex numbers.

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Control chart

Control charts, also known as Shewhart charts (after Walter A. Shewhart) or process-behavior charts, are a statistical process control tool used to determine if a manufacturing or business process is in a state of control.

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Control limits

Control limits, also known as natural process limits, are horizontal lines drawn on a statistical process control chart, usually at a distance of ±3 standard deviations of the plotted statistic from the statistic's mean.

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Credible interval

In Bayesian statistics, a credible interval is a range of values within which an unobserved parameter value falls with a particular subjective probability.

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Discrete-stable distribution

The discrete-stable distributions are a class of probability distributions with the property that the sum of several random variables from such a distribution is distributed according to the same family.

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Downhill folding

Downhill folding is a process in which a protein folds without encountering any significant macroscopic free energy barrier.

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Exponentiated Weibull distribution

In statistics, the exponentiated Weibull family of probability distributions was introduced by Mudholkar and Srivastava (1993) as an extension of the Weibull family obtained by adding a second shape parameter.

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Fibonacci search technique

In computer science, the Fibonacci search technique is a method of searching a sorted array using a divide and conquer algorithm that narrows down possible locations with the aid of Fibonacci numbers.

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Gauss's inequality

In probability theory, Gauss's inequality (or the Gauss inequality) gives an upper bound on the probability that a unimodal random variable lies more than any given distance from its mode.

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George Marsaglia

George Marsaglia (March 12, 1924 – February 15, 2011) was an American mathematician and computer scientist.

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Godfried Toussaint

Godfried T. Toussaint is a Canadian Computer Scientist, a Professor of Computer Science, and the Head of the Computer Science Program at New York University Abu Dhabi (NYUAD) in Abu Dhabi, United Arab Emirates.

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Golden-section search

The golden-section search is a technique for finding the extremum (minimum or maximum) of a strictly unimodal function by successively narrowing the range of values inside which the extremum is known to exist.

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Hypsometry

Hypsometry (from Greek ὕψος, hupsos, "height" and μέτρον, metron, "measure") is the measurement of land elevation relative to sea level.

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J. Philip Grime

John Philip Grime FRS is a prominent British ecologist and emeritus professor at the University of Sheffield.

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List of fractals by Hausdorff dimension

Benoit Mandelbrot has stated that "A fractal is by definition a set for which the Hausdorff-Besicovitch dimension strictly exceeds the topological dimension." Presented here is a list of fractals ordered by increasing Hausdorff dimension, with the purpose of visualizing what it means for a fractal to have a low or a high dimension.

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List of Greek and Latin roots in English/M

Category:Lists of words.

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List of statistics articles

No description.

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Location testing for Gaussian scale mixture distributions

In statistics, the topic of location testing for Gaussian scale mixture distributions arises in some particular types of situations where the more standard Student's t-test is inapplicable.

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Log-logistic distribution

No description.

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Logarithmically concave sequence

In mathematics, a sequence.

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Luus–Jaakola

In computational engineering, Luus–Jaakola (LJ) denotes a heuristic for global optimization of a real-valued function.

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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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Milnor–Thurston kneading theory

The Milnor–Thurston kneading theory is a mathematical theory which analyzes the iterates of piecewise monotone mappings of an interval into itself.

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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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Mode (statistics)

The mode of a set of data values is the value that appears most often.

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Monotonic function

In mathematics, a monotonic function (or monotone function) is a function between ordered sets that preserves or reverses the given order.

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Multimodal distribution

In statistics, a bimodal distribution is a continuous probability distribution with two different modes.

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Nelder–Mead method

The Nelder–Mead method or downhill simplex method or amoeba method is a commonly applied numerical method used to find the minimum or maximum of an objective function in a multidimensional space.

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Nonparametric skew

In statistics and probability theory, the nonparametric skew is a statistic occasionally used with random variables that take real values.

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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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Occupancy frequency distribution

In macroecology and community ecology, an occupancy frequency distribution (OFD) is the distribution of the numbers of species occupying different numbers of areas.

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Outline of statistics

Statistics is a field of inquiry that studies the collection, analysis, interpretation, and presentation of data.

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Polyhedral combinatorics

Polyhedral combinatorics is a branch of mathematics, within combinatorics and discrete geometry, that studies the problems of counting and describing the faces of convex polyhedra and higher-dimensional convex polytopes.

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Qualitative variation

An index of qualitative variation (IQV) is a measure of statistical dispersion in nominal distributions.

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Quasiconvex function

In mathematics, a quasiconvex function is a real-valued function defined on an interval or on a convex subset of a real vector space such that the inverse image of any set of the form (-\infty,a) is a convex set.

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Random optimization

Random optimization (RO) is a family of numerical optimization methods that do not require the gradient of the problem to be optimized and RO can hence be used on functions that are not continuous or differentiable.

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Ratio estimator

The ratio estimator is a statistical parameter and is defined to be the ratio of means of two random variables.

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Rodica Simion

Rodica Eugenia Simion (January 18, 1955 – January 7, 2000) was a Romanian-American mathematician.

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Rook polynomial

In combinatorial mathematics, a rook polynomial is a generating polynomial of the number of ways to place non-attacking rooks on a board that looks like a checkerboard; that is, no two rooks may be in the same row or column.

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Rule of three (statistics)

In statistical analysis, the rule of three states that if a certain event did not occur in a sample with subjects, the interval from 0 to 3/ is a 95% confidence interval for the rate of occurrences in the population.

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Single-cell transcriptomics

Single-cell transcriptomics examines the gene expression level of individual cells in a given population by simultaneously measuring the messenger RNA (mRNA) concentration of hundreds to thousands of genes.

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Skewness

In probability theory and statistics, skewness is a measure of the asymmetry of the probability distribution of a real-valued random variable about its mean.

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Stability (probability)

In probability theory, the stability of a random variable is the property that a linear combination of two independent copies of the variable has the same distribution, up to location and scale parameters.

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Statistical learning in language acquisition

Statistical learning is the ability for humans and other animals to extract statistical regularities from the world around them to learn about the environment.

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Successive parabolic interpolation

Successive parabolic interpolation is a technique for finding the extremum (minimum or maximum) of a continuous unimodal function by successively fitting parabolas (polynomials of degree two) to a function of one variable at three unique points or, in general, a function of n variables at 1+n(n+3)/2 points, and at each iteration replacing the "oldest" point with the extremum of the fitted parabola.

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Symmetric probability distribution

In statistics, a symmetric probability distribution is a probability distribution—an assignment of probabilities to possible occurrences—which is unchanged when its probability density function or probability mass function is reflected around a vertical line at some value of the random variable represented by the distribution.

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Ternary search

A ternary search algorithm is a technique in computer science for finding the minimum or maximum of a unimodal function.

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Uncertainty principle

In quantum mechanics, the uncertainty principle (also known as Heisenberg's uncertainty principle) is any of a variety of mathematical inequalities asserting a fundamental limit to the precision with which certain pairs of physical properties of a particle, known as complementary variables, such as position x and momentum p, can be known.

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Unified neutral theory of biodiversity

The unified neutral theory of biodiversity and biogeography (here "Unified Theory" or "UNTB") is a hypothesis and the title of a monograph by ecologist Stephen Hubbell.

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Unimodal thresholding

Unimodal thresholding is an algorithm for automatic image threshold selection in image processing.

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Unimodality

In mathematics, unimodality means possessing a unique mode.

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Von Mises–Fisher distribution

In directional statistics, the von Mises–Fisher distribution (named after Ronald Fisher and Richard von Mises), is a probability distribution on the (p-1)-dimensional sphere in \mathbb^.

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Vysochanskij–Petunin inequality

In probability theory, the Vysochanskij–Petunin inequality gives a lower bound for the probability that a random variable with finite variance lies within a certain number of standard deviations of the variable's mean, or equivalently an upper bound for the probability that it lies further away.

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Weibull distribution

No description.

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Yuri Petunin

Yuri Ivanovich Petunin (Russian: Юрий Иванович Петунин) was a Soviet and Ukrainian mathematician.

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Ziggurat algorithm

The ziggurat algorithm is an algorithm for pseudo-random number sampling.

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Unimodal, Unimodal distribution, Unimodal function, Unimodal probability distribution, Unimodal probability distributions.

References

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

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