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Intersection of two gaussian distribution functions

  1. May 11, 2010 #1
    Can you please give me formulas which give intersection of two gaussian function

    f(x, mu, sigma) = 1/sqrt(2*pi*sigma^2) * exp(-(x-mu)^2 / (2*sigma^2))

    for the case variances are different.

    (Note: I think it is time I learn how to use "tex" tags, do you know a good tutorial?)
  2. jcsd
  3. May 11, 2010 #2


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    What do you mean by "intersection"? The term intersection is usually used when talking about sets, not functions.
  4. May 11, 2010 #3
    The two points, where these two curves have the same (x, y) pairs on the graph.

    Well, actually, I calculated the formula, but it is too messy without using "tex" tags...
  5. May 12, 2010 #4


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    Why not just set the two Gaussian expressions equal to each other, and solve for x?

    Info on [noparse][tex][/noparse] tag usage at Physics Forums can be found https://www.physicsforums.com/showthread.php?t=386951" [Broken]
    Last edited by a moderator: May 4, 2017
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