I am taking a probability course right now and have encountered a lot of interesting distributions and their related distributions.
For example, if we have two independent Poisson distribution random variables $X_1,X_2$ with parameters $\lambda_1,\lambda_2$ respectively, and $Y = X_1+X_2$, then $X_1\mid Y= y $ is a binomial distribution random variable with parameter $\left(y,\dfrac{\lambda_1}{\lambda_1+\lambda_2} \right)$.
I am wondering if there is a nice summary or something like that about all the distributions and their related distributions.