Repeat Problem 11.23 assuming that ( i ) = 2 when actually var(Y i ) = i . Data from Problem 11.23: Consider

Repeat Problem 11.23 assuming that υ(µ_i) = σ² when actually var(Y_i) = µ_i.

Data from Problem 11.23:

Consider the model µ_i = β, i = 1, ..., n, assuming that υ(µ_i) = µ_i. Suppose that actually var(Y_i) = µ_i². Using the univariate version of GEE described in section 11.4, show that u(β) = ∑_i(y_i – β)/β and β̂ = y̅. Show that V in (11.10) equals β/n, the actual asymptotic variance (11.11) simplifies to β²/n, and its consistent estimate is ∑_i(y_i – y̅)²/n².