Question: 19. Let (Xl, ... ,X,,) be a random sample from a Poisson population distribution. Derive the limiting distribution of (X - tt) T = (S~/n)l/2'

19. Let (Xl, ... ,X,,) be a random sample from a Poisson population distribution. Derive the limiting distribution of

(X" - tt)

T = (S~/n)l/2'

where S;, = n-1 2::dX, - Xn)2.

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