Mathematics, 06.06.2020 21:00 tristanthecat

g Let X1,…,Xn be i. i.d. Poisson random variables with parameter λ>0 and denote by X¯¯¯¯n their empirical average, X¯¯¯¯n=1n∑i=1nXi. Find two sequences (an)n≥1 and (bn)n≥1 such that an(X¯¯¯¯n−bn) converges in distribution to a standard Gaussian random variable Z∼N(0,1) .

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g Let X1,…,Xn be i. i.d. Poisson random variables with parameter λ>0 and denote by X¯¯¯¯n their e...