Hi, I have a probability distribution which has two parameters a and b
I re-parametrized the distribution such that the new distribution has two parameters c and d where
d = 1/b - 1
I can easily estimate a and b but I need to make inferences on c and d, specially d ,
So my question is: If I estimate b and use relationship d=1/b -1 to find out the values of d Is it correct? Is there any information loss?
Also, How can I find the standard errors and confidence intervals of d if those exist for b ?
Thank you very much.