Measure functions

     

tv$>$ fit measure definition dy-chi-square  Minimization of $\chi 2$ weighted by data errors (Maximization of a gauss distribution).

$chi(f)2=\; \sum$_i=0^numdata {( {f(X_i) - Y_idY_i} } ²

f:

fit function

X$$_i

channel

Y$$_i

spectrum-value of channel X$$_i

dY$$_i

error of Y$$_i

tv$>$ fit measure definition y-chi-square

Minimization of $\chi 2$ weighted by data (Maximization of a gauss distribution).

$chi(f)2=\; \sum$_i=0^numdata {(f(X_i) - Y_i)²|Y_i|}

f:

fit function

X$$_i

channel

Y$$_i

spectrum-value of channel X$$_i

tv$>$ fit measure definition poisson   Maximization of a poisson distribution.

$P(f)\; =\; \prod$_i=0^numdata {f(X_i)^Y_iY_i!} ⋅ exp(-f(X_i))

f:

fit function

X$$_i

channel

Y$$_i

spectrum-value of channel X$$_i

The really maximized and printed measure is the function:

$$

C:

$\sum$_i=0^numdata -ln(Y_i!)