Normal/Gaussian Probability Distribution Family

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A Normal/Gaussian Probability Distribution Family is an exponential probability distribution family whose exponential function is of the form [math]\displaystyle{ f(x,a,b,c) }[/math] (where [math]\displaystyle{ a = \tfrac{1}{\sqrt{2\pi\sigma^2}} }[/math], [math]\displaystyle{ b = \mu }[/math], and [math]\displaystyle{ c = 2\sigma^2 }[/math].



References

2013