Hi, I have a probability distribution which has two parametersandab

I re-parametrized the distribution such that the new distribution has two parametersandcwhered

=ca

but

= 1/d- 1b

I can easily estimateandabut I need to make inferences onbandc, speciallyd,d

So my question is: If I estimateand use relationshipb=1/d-1 to find out the values of d Is it correct? Is there any information loss?b

Also, How can I find the standard errors and confidence intervals ofif those exist ford?b

Thank you very much.