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Math Help - Poisson distribution and asymptotic normal distribution.

  1. #1
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    Poisson distribution and asymptotic normal distribution.

    Can you help me to solve this exercises ?

    Using theorems about convergence in probability and continuity at functions, to solve:

    Let a random sample from Poisson distribution Xi - Poi ()

    a)To show that Yn=exp(-X`n) --p--> exp(-) = P(X=0) , with X`n = sampler median and --p--> convergence in probability
    b)To find the asymptotic normal distribution of Yn=exp(-X`n)
    c) To show that Xn exp(-X`n) --p--> exp(-)= P(X=1)

    Thank you
    Last edited by mr fantastic; August 18th 2010 at 01:40 PM.
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