I show the better example to understand my question clearly.
EXAMPLE: There are data about the height of the men in university. The height of the men in university is followed by Normal distribution with mu and sigma. Also we have data about the errors of the measurement of the height. The errors are followed by Poisson distribution with alpha. (All value of the error are positive)
QUESTION: If I want to know the accurate data about the height of the men in university with considering the errors distribution, how to calculate the new distribution of the height of the men in university?
p.s. how about Poisson distribution and binomial distribution case? (discrete-discrete) and Normal distribution and beta distribution case? (continuous-continuous)
I hope you guys can give me good answer...
Thank you!