Results 1 to 2 of 2

Math Help - Gaussian Idendity

  1. #1
    Junior Member
    Joined
    Dec 2009
    Posts
    30

    Gaussian Idendity

    Can anyone help me on this
    Attached Thumbnails Attached Thumbnails Gaussian Idendity-untitled.jpg  
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Quote Originally Posted by asingh88 View Post
    Can anyone help me on this
    You need to evaluate:

    I = \int_{-\infty}^{\infty} x^2\ \frac{1}{\sqrt{2\pi}\sigma}e^{-\frac{x^2}{x\sigma^2}}\; dx

    You can do this by parts spliting the integral, and integrating by parts:

    I = \int_{-\infty}^{\infty} [x]\ \left[\frac{x}{\sqrt{2\pi}\sigma}e^{-\frac{x^2}{x\sigma^2}}\right]\; dx

    CB
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Difference between Gaussian noise and white Gaussian noise?
    Posted in the Advanced Statistics Forum
    Replies: 2
    Last Post: February 12th 2011, 12:25 AM
  2. is this a gaussian?
    Posted in the Advanced Statistics Forum
    Replies: 3
    Last Post: January 26th 2010, 07:53 AM
  3. Gaussian Integral
    Posted in the Calculus Forum
    Replies: 1
    Last Post: September 16th 2009, 11:22 AM
  4. Gaussian PDF
    Posted in the Advanced Statistics Forum
    Replies: 2
    Last Post: November 1st 2008, 03:11 AM
  5. Replies: 2
    Last Post: March 25th 2008, 07:38 AM

Search Tags


/mathhelpforum @mathhelpforum