Consider the zero-inflated Poisson model, where Pr(Y = 0) = p + (1 − p)e−λ and Pr(Y = k) = (1 − p)λk e−λ /k! for k > 0. For a sample of size n, suppose Y1 = ··· = Yn = 0 and describe the contours of...

Consider the zero-inflated Poisson model, where Pr(Y = 0) = p + (1 − p)e−λ and Pr(Y = k) = (1 − p)λk e−λ /k! for k > 0. For a sample of size n, suppose Y1 = ··· = Yn = 0 and describe the contours of the likelihood function of (p, λ).