Question: 2. Let X P(). Then (X )/ LN(0,1). Find a transformation g such that (g(X)g()) has an asymptotic N(0, c) distribution

2. Let X ∼ P(λ). Then (X − λ)/

√

λ

−L→N(0,1). Find a transformation g such that

(g(X)−g(λ)) has an asymptotic N(0,

c) distribution for large μ where c is a suitable constant.

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