Normally distributed and uncorrelated does not imply independent
Normally distributed and uncorrelated does not imply independent In probability theory, it is almost ...
http://en.wikipedia.org/wiki/Normally_distributed_and_uncorrelated_does_not_imply_independent - 5k - Cached - Similar pages

Talk:Normally distributed and uncorrelated does not imply independent
Talk:Normally distributed and uncorrelated does not imply independent Is this example really simpler than ...
http://en.wikipedia.org/wiki/Talk:Normally_distributed_and_uncorrelated_does_not_imply_independent - 2k - Cached - Similar pages

Talk:Kalman filter
... the previous state and is therefore conditionally independent of any state before the previous state ... that w k and w j are uncorrelated where $k\; \backslash ne\; j$. I ... previous statement, but yes, diagonal covariance matrix <==> uncorrelated. Cburnett 14:32, Apr 18, 2005 (UTC ... saying that each element in w is uncorrelated - it's saying that successive samples are uncorrelated. Have edited article to make that ...
http://en.wikipedia.org/wiki/Talk:Kalman_filter - 87k - Cached - Similar pages

Normal distribution
... in 1872 for a bivariate normal with independent components. The name "normal distribution" was coined ... sim N(\mu_Y, \sigma^2_Y) are independent normal random variables, then: Their sum is normally distributed with $U\; =\; X\; +\; Y\; \backslash sim\; N\; ...\; sigma^2\_Y)$ (proof). Their difference is normally distributed with $V\; =\; X\; -\; Y\; \backslash \; ...$
http://en.wikipedia.org/wiki/Normal_distribution - 71k - Cached - Similar pages

Normal distribution (Psychology wiki)
... in 1872 for a bivariate normal with independent components. The name "normal distribution" was coined ... sim N(\mu_Y, \sigma^2_Y) are independent normal random variables, then: Their sum is normally distributed with $U\; =\; X\; +\; Y\; \backslash sim\; N\; ...\; sigma^2\_Y)$ ( proof ). Their difference is normally distributed with $V\; =\; X\; -\; Y\; \backslash \; ...$
http://psychology.wikia.com/wiki/Normal_distribution - 73k - Cached - Similar pages

Talk:Normal distribution
... question is then: Why is p approximately normally distributed (or is it?). I would claim that ... and the usual statement that they are normally distributed is not supported by an application of ... even if the two variables are not independent? (Let's treat constant variables as ...
http://en.wikipedia.org/wiki/Talk:Normal_distribution - 68k - Cached - Similar pages

Multivariate normal distribution
... a_1 X_1 + \cdots + a_N X_N is normally distributed there is a random vector $Z\; ...\; Z\_1,\; \backslash dots,\; Z\_M]$, whose components are independent standard normal random variables, a vector are in general not independent; they can be seen as the result ... math>A to a collection of independent Gaussian variables $Z$. The ...
http://en.wikipedia.org/wiki/Multivariate_normal_distribution - 21k - Cached - Similar pages

Linear regression
... The other variables x are called the "independent variables". The terms "exogenous variables" and "input ... variables" are also used. The dependent and independent variables may be scalars or vectors. If the independent variable is a vector, one speaks of multiple regression. The term independent variable suggests that its value can be ... effect, i.e., causally dependent on the independent variable, as in a stimulus-response ...
http://en.wikipedia.org/wiki/Linear_regression - 37k - Cached - Similar pages

Linear regression (Psychology wiki)
... The other variables x are called the "independent variables". The terms "exogenous variables" and "input ... variables" are also used. The dependent and independent variables may be scalars or vectors . If the independent variable is a vector, one speaks of multiple regression . The term independent variable suggests that its value can be ... effect, i.e., causally dependent on the independent variable, as in a stimulus-response ...
http://psychology.wikia.com/wiki/Linear_regression - 37k - Cached - Similar pages

Talk:Multivariate normal distribution
... Miguel The "characterization" the X i are independent normally distributed random variables is actually not correct because ... implies that the various X i are uncorrelated. yup, you're right; I'll mention ... computer program)]] so as not to needlessly imply that "computer program" is part of ...
http://en.wikipedia.org/wiki/Talk:Multivariate_normal_distribution - 28k - Cached - Similar pages