Your own Unionpedia with your logo and domain, from 9.99 USD/month

Samuelson's inequality

In statistics, Samuelson's inequality, named after the economist Paul Samuelson, also called the Laguerre–Samuelson inequality, after the mathematician Edmond Laguerre, states that every one of any collection x1,..., xn, is within uncorrected sample standard deviations of their sample mean. ^[1]

13 relations: Chebyshev's inequality, Descartes' rule of signs, Edmond Laguerre, Equation solving, If and only if, Journal of the American Statistical Association, McGill University, Mean, Paul Samuelson, Polynomial, Standard deviation, Statistics, Studentized residual.
Statistical inequalities

Chebyshev's inequality

In probability theory, Chebyshev's inequality (also called the Bienaymé–Chebyshev inequality) provides an upper bound on the probability of deviation of a random variable (with finite variance) from its mean. Samuelson's inequality and Chebyshev's inequality are Statistical inequalities.

See Samuelson's inequality and Chebyshev's inequality

Descartes' rule of signs

In mathematics, Descartes' rule of signs, described by René Descartes in his La Géométrie, counts the roots of a polynomial by examining sign changes in its coefficients.

See Samuelson's inequality and Descartes' rule of signs

Edmond Laguerre

Edmond Nicolas Laguerre (9 April 1834, Bar-le-Duc – 14 August 1886, Bar-le-Duc) was a French mathematician and a member of the Académie des sciences (1885).

See Samuelson's inequality and Edmond Laguerre

Equation solving

In mathematics, to solve an equation is to find its solutions, which are the values (numbers, functions, sets, etc.) that fulfill the condition stated by the equation, consisting generally of two expressions related by an equals sign.

See Samuelson's inequality and Equation solving

If and only if

In logic and related fields such as mathematics and philosophy, "if and only if" (often shortened as "iff") is paraphrased by the biconditional, a logical connective between statements.

See Samuelson's inequality and If and only if

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.

See Samuelson's inequality and Journal of the American Statistical Association

McGill University

McGill University (French: Université McGill) is an English-language public research university located in Montreal, Quebec, Canada.

See Samuelson's inequality and McGill University

Mean

A mean is a numeric quantity representing the center of a collection of numbers and is intermediate to the extreme values of a set of numbers.

See Samuelson's inequality and Mean

Paul Samuelson

Paul Anthony Samuelson (May 15, 1915 – December 13, 2009) was an American economist who was the first American to win the Nobel Memorial Prize in Economic Sciences.

See Samuelson's inequality and Paul Samuelson

Polynomial

In mathematics, a polynomial is a mathematical expression consisting of indeterminates (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication and exponentiation to nonnegative integer powers, and has a finite number of terms.

See Samuelson's inequality and Polynomial

Standard deviation

In statistics, the standard deviation is a measure of the amount of variation of a random variable expected about its mean.

See Samuelson's inequality and Standard deviation

Statistics

Statistics (from German: Statistik, "description of a state, a country") is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

See Samuelson's inequality and Statistics

Studentized residual

In statistics, a studentized residual is the dimensionless ratio resulting from the division of a residual by an estimate of its standard deviation, both expressed in the same units.

See Samuelson's inequality and Studentized residual

References

[1] https://en.wikipedia.org/wiki/Samuelson's_inequality

Also known as Laguerre-Samuelson Inequality, Samuelson Inequality, Samuelson-Laguerre Inequality.

Unionpedia is a concept map or semantic network organized like an encyclopedia – dictionary. It gives a brief definition of each concept and its relationships.

This is a giant online mental map that serves as a basis for concept diagrams. It's free to use and each article or document can be downloaded. It's a tool, resource or reference for study, research, education, learning or teaching, that can be used by teachers, educators, pupils or students; for the academic world: for school, primary, secondary, high school, middle, technical degree, college, university, undergraduate, master's or doctoral degrees; for papers, reports, projects, ideas, documentation, surveys, summaries, or thesis. Here is the definition, explanation, description, or the meaning of each significant on which you need information, and a list of their associated concepts as a glossary. Available in English, Spanish, Portuguese, Japanese, Chinese, French, German, Italian, Polish, Dutch, Russian, Arabic, Hindi, Swedish, Ukrainian, Hungarian, Catalan, Czech, Hebrew, Danish, Finnish, Indonesian, Norwegian, Romanian, Turkish, Vietnamese, Korean, Thai, Greek, Bulgarian, Croatian, Slovak, Lithuanian, Filipino, Latvian, Estonian and Slovenian. More languages soon.

The information is based on Wikipedia articles and other Wikimedia projects, and it's available under the Creative Commons Attribution-ShareAlike License.

Unionpedia is not endorsed by or affiliated with the Wikimedia Foundation.

Google Play, Android and the Google Play logo are trademarks of Google Inc.

Languages