Originally Posted by

**chogo** Hi all

I have two equations

$\displaystyle F(m) = \int_0^1 \frac{1-x^m - (1-x)^m}{1-x} \cdot \frac{1-e^{-2\gamma x}}{2\gamma x} dx $

and

$\displaystyle G(m) = \int_0^1 x^{m-1} \cdot \frac{1-e^{-2 \gamma (1-x)}}{2\gamma (1-x)} $

i then have a relation

$\displaystyle Z = \frac{F(m) + F(n)}{G(m) + G(n)} $

Where m, and n are integers which i know.

Z is a constant which i know.

and i want to find a value of $\displaystyle \gamma $ which will satisfy the above equations

Any ideas? Should i use a numerical integration procedure to evaluate the integrals then solve? Should i do it manually? (if so on inspection will this take a year to solve) or should i use some sort of Likelihood method of parameter evaluation

Thanks for the time you spend helping. Its an invaluable resource

chogo