Theoretical estimation: 2
The first method of TM estimation of UM parameters is based on the analysis of the empirical and theoretical estimation of
. Lets :
Then
should remains constant for each value of
and is equal to
if the universal model is valid. Once the parameter
is defined, the value of
is calculated using the theoretical expression of
.
The second method of estimation of UM parameter using TM estimation is based on the mathematical proprieties of
which allow to determine
and
, using the two first derivatives of
function for
:
We can apply both method for estimation the UM parameters for empirical data. However, calculation errors can cause a bad estimation of the parameters.
