How to calculate alpha, Γ and γ for a Weibull distribution with Beta fixed at a negative constant

[#1]

Hey

I have 2 columns of data (A and B) which follow independent Weibull distributions with a common shape parameter (γ) and with parameters (αA, β, γ) and (αB, β, γ). Prior to parameter estimation, I would like to fix the β at -0.5 (JMP is not allowing negative β).

Please guide how do I calculate these parameters for Weibull distribution using both Least Squares and Maximum Likelihood method while fixing β as -0.5. If not Least Squares, Maximum likelihood method would be fine.

I also want to calculate Γ for both of my data sets. Please guide on that too.

Thanks

[#2]

Please check out Life Distribution platform and the Fix Parameter function to see whether they are what you need.

Here are the links to documentation:

This is the documentation for the platform https://www.jmp.com/support/help/en/18.1/#page/jmp/life-distribution.shtml#

Look for "Fix Parameter" on this page https://www.jmp.com/support/help/en/18.1/#page/jmp/statistics-for-life-distribution.shtml