Transcription of The Bivariate Normal Distribution - Mark A. Clements
{{id}} {{{paragraph}}}
Example: marketing
The Bivariate Normal Distribution - Mark A. Clements
The Bivariate Normal Distribution Most of the following discussion is taken from Wilks, Statistical Methods in the Atmospheric Sci- ences, section First, lets define the Bivariate Normal Distribution for two related, normally distributed variables x N ( x , x2 ), and x N ( y , y2 ). Then, the Bivariate Normal Distribution is defined by the following probability density function: " " ##. x x 2 y y 2 x x x y . 1 1. f (x, y) = exp + 2 . 2(1 2 ). p 2 x y 1 2 x y x y (1). The Bivariate Normal PDF difines a surface in the x y plane (see Figure 1). Like its one dimensional counterpart, the Bivariate Normal Distribution has the following properties: Z Z. f (x, y)dxdy = 1 (2).
The Bivariate Normal Distribution Most of the following discussion is taken from Wilks, Statistical Methods in the Atmospheric Sci-ences, section 4.5.
Loading..
Tags:
Information
Domain:
Source:
Link to this page:
Please notify us if you found a problem with this document: