3.29 For multinomial probabilities = (, 2, ...) with a contingency table of ar- bitrary dimensions,

3.29 For multinomial probabilities π = (πι, π2, ...) with a contingency table of ar-

bitrary dimensions, consider a measure of form g(π) = ν/δ. Show that the asymptotic variance of √n[g(t) - g(x)] is σ² = [Σ; πη; – (Σ₁ πίηί)²]/84, where ni = δ(δν/δπ₁) – ν(δ/λπ₁) (Goodman and Kruskal 1972).