12 relations: Chernoff bound, Cumulative distribution function, Elementary function, Error function, Integration by substitution, MATLAB, OpenStax CNX, Python (programming language), Quotient rule, R (programming language), Statistics, Wolfram Mathematica.
In probability theory, the Chernoff bound, named after Herman Chernoff but due to Herman Rubin, gives exponentially decreasing bounds on tail distributions of sums of independent random variables.
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.
In mathematics, an elementary function is a function of one variable which is the composition of a finite number of arithmetic operations, exponentials, logarithms, constants, and solutions of algebraic equations (a generalization of ''n''th roots).
In mathematics, the error function (also called the Gauss error function) is a special function (non-elementary) of sigmoid shape that occurs in probability, statistics, and partial differential equations describing diffusion.
In calculus, integration by substitution, also known as u-substitution, is a method for finding integrals.
MATLAB (matrix laboratory) is a multi-paradigm numerical computing environment and proprietary programming language developed by MathWorks.
OpenStax CNX, formerly called Connexions, is a global repository of educational content provided by volunteers.
Python is an interpreted high-level programming language for general-purpose programming.
In calculus, the quotient rule is a method of finding the derivative of a function that is the ratio of two differentiable functions.
R is a programming language and free software environment for statistical computing and graphics that is supported by the R Foundation for Statistical Computing.
Statistics is a branch of mathematics dealing with the collection, analysis, interpretation, presentation, and organization of data.
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.