Deriving the Gaussian density probability equation

by CuriousQuazim
Tags: density function, gaussian
CuriousQuazim is offline
Feb29-12, 08:39 AM
P: 5
Hey ^^, new here but I already have a question haha

Does anyone here know how the coefficient (x-μ)^2 was derived in the following equation:


I know the general equation for density probability is (1/σ)*exp((x-μ)^2)/(2σ^2))
but in this case I can't quite see how the coefficient came about... any help?

Thanks in advance!
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alan2 is offline
Feb29-12, 01:17 PM
P: 188
Your expression looks wrong to me. Could you check it for accuracy?
mathman is offline
Feb29-12, 04:20 PM
Sci Advisor
P: 5,935
It looks like it should be σ2. The expression is essentially the definition of the variance, the second moment of the distribution centered at the mean.

CuriousQuazim is offline
Mar1-12, 04:46 AM
P: 5

Deriving the Gaussian density probability equation

Oh I'm sorry that was an error on my part, it is indeed σ^2


Ah thank you so much mathman ^^, that's what I was looking for! I'm studying engineering so sometimes they just throw mathematical equations at us with no explanation _.

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