Mean dependence

In probability theory, a random variable Y is said to be mean independent of random variable X if an only if E(Y|X) = E(Y) for all x such that ƒ₁(x) is not equal to zero. Y is said to be mean dependent if E(Y|X) ≠ μ(y) for some x such that ƒ₁(x) is not equal to zero.

Stochastic independence implies mean independence, but the converse is not necessarily true.

This probability-related article is a stub. You can help Wikipedia by expanding it.v · Categories: Probability theory Probability stubs Wikimedia Foundation. 2010. Игры ⚽ Нужна курсовая? Meanchey District Mean Dog Blues Look at other dictionaries: dependence — dependence, dependency Dependence is ‘a state of depending’; dependency can also mean this but is more usually ‘something, especially a country or province, that is dependent on another’. The distinction was somewhat blurred by the emergence in… …   Modern English usage Mean — This article is about the statistical concept. For other uses, see Mean (disambiguation). In statistics, mean has two related meanings: the arithmetic mean (and is distinguished from the geometric mean or harmonic mean). the expected value of a… …   Wikipedia Mean and predicted response — In linear regression mean response and predicted response are values of the dependent variable calculated from the regression parameters and a given value of the independent variable. The values of these two responses are the same, but their… …   Wikipedia Correlation and dependence — This article is about correlation and dependence in statistical data. For other uses, see correlation (disambiguation). In statistics, dependence refers to any statistical relationship between two random variables or two sets of data. Correlation …   Wikipedia Substance dependence — Substance dependency Classification and external resources ICD 10 F10.2 F19.2 ICD 9 …   Wikipedia Path dependence — explains how the set of decisions one faces for any given circumstance is limited by the decisions one has made in the past, even though past circumstances may no longer be relevant. [Definition from [http://poopthebook.com/blog/?p=20 Our Love Of …   Wikipedia Regression toward the mean — In statistics, regression toward the mean (also known as regression to the mean) is the phenomenon that if a variable is extreme on its first measurement, it will tend to be closer to the average on a second measurement, and a fact that may… …   Wikipedia Arithmetic mean — In mathematics and statistics, the arithmetic mean, often referred to as simply the mean or average when the context is clear, is a method to derive the central tendency of a sample space. The term arithmetic mean is preferred in mathematics and… …   Wikipedia Dynamical mean field theory — (DMFT) is a method to determine the electronic structure of strongly correlated materials. In such materials, the approximation of independent electrons, which is used in Density Functional Theory and usual band structure calculations, breaks… …   Wikipedia Log mean temperature difference — The log mean temperature difference (LMTD) is used to determine the temperature driving force for heat transfer in flow systems (most notably in heat exchangers). The LMTD is a logarithmic average of the temperature difference between the hot and …   Wikipedia 18+ © Academic, 2000-2024 Contact us: Technical Support, Advertising Dictionaries export, created on PHP, Joomla, Drupal, WordPress, MODx. Mark and share Search through all dictionaries Translate… Search Internet Share the article and excerpts Direct link … Do a right-click on the link above and select “Copy Link”