Inference for Poisson parameters can often be based on connections with binomial and multinomial distributions Show how to test H 0 1 2 for two populations based on independent Poisson counts (y 1 ,y 2 ), using a corresponding test about a binomial parameter How can one construct a confidence inter...

Conditional on n y 1 y 2 y 1 has a binn di ...

Inference for Poisson parameters can often be based on connections with binomial and multinomial distributions. Show how

Question:

Inference for Poisson parameters can often be based on connections with binomial and multinomial distributions. Show how to test H₀: µ₁ = µ₂ for two populations based on independent Poisson counts (y₁,y₂), using a corresponding test about a binomial parameter π. How can one construct a confidence interval for µ₁/µ₂ based on one for π?