Gaussian Curves

Gaussian

Y = a + b(2πs²)^-½ e^{-(x-m)²/2s²}

( Y = a + b/(sqrt(2*pi)*s) * exp(-(x-m)**2/2*s**2) )

The Gaussian curve is a bell-shaped curve like the Normal probability density.

Double Gaussian

Y = a + b(2πs²)^-½ e^{-(x-m)²/2s²} + c(2πs²)^-½ e^{-(x-n)²/2s²}

( Y = a + b/(sqrt(2*pi)*s) * exp(-(x-m)**2/2*s**2) + c/(sqrt(2*pi)*s) * exp(-(x-n)**2/2*s**2) )

The double Gaussian is the sum of two overlapping Gaussian curves, with means m and n. This model is currently restricted to have equal standard deviation (s) for the two components.

Gaussian

Double Gaussian

See Also