please dont rip this site

Math Methods for Gaussian Distribution

Gaussian (Normal) Distribution

If the probability distribution of X is Gaussian^ (aka Normal) with mean (µ or mu) and variance sigma squared (ó2 or sigma2) we write X ~ N(µ, ó2). {ed, using ó as the greek letter sigma}. µ gives us the center of the normal bell curve, ó is the standard deviation^ or width from the center of the curve to the inflection point^ where the slope of the curve changes from concave to convex. ó2 is the variance.

In the figure here, the red line is the Normal distribution.


Another way of calculating this is:

ó2=o^2
a = 1/sqrt(2 * Pi *
ó2)

g(x) = a * exp(-0.5 * ( (x-µ)^2 / ó2) )

Where ó2 is the variance which controls the width of the peak, µ is the "expected value" or position of the center of the peak, and a is the height of the peak. Setting a to 1/sqrt(2* Pi * ó2) makes the integral of the curve exactly 1, so the area under the curve is a single unit.

Gausian functions are often used as kernels in Support Vector Machines, or in Anomaly Detection. They are also used in Kalman Filters for localization

Pascal / Delphi program RandomGaussianSD1 returns a number drawn from a Gaussian distribution with mean of zero, unit standard deviation, cutoff at +/- 4

Random Gaussian Variables

See also:


file: /Techref/method/math/gaussian.htm, 2KB, , updated: 2017/6/29 17:11, local time: 2024/3/19 04:54,
TOP NEW HELP FIND: 
3.229.122.112:LOG IN

 ©2024 These pages are served without commercial sponsorship. (No popup ads, etc...).Bandwidth abuse increases hosting cost forcing sponsorship or shutdown. This server aggressively defends against automated copying for any reason including offline viewing, duplication, etc... Please respect this requirement and DO NOT RIP THIS SITE. Questions?
Please DO link to this page! Digg it! / MAKE!

<A HREF="http://www.massmind.org/Techref/method/math/gaussian.htm"> Math Methods for Gaussian Distribution</A>

After you find an appropriate page, you are invited to your to this massmind site! (posts will be visible only to you before review) Just type a nice message (short messages are blocked as spam) in the box and press the Post button. (HTML welcomed, but not the <A tag: Instead, use the link box to link to another page. A tutorial is available Members can login to post directly, become page editors, and be credited for their posts.


Link? Put it here: 
if you want a response, please enter your email address: 
Attn spammers: All posts are reviewed before being made visible to anyone other than the poster.
Did you find what you needed?

 

Welcome to massmind.org!

 

Welcome to www.massmind.org!

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

  .