Assume N ? Poi(?) is a Poisson-distributed random variable with probability mass function f(n) = e -?
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Assume N ? Poi(?) is a Poisson-distributed random variable with probability mass function f(n) = e-??n/n! for n ? IN0. Consider a random variable X, with
where Xn are independent and identically distributed ?random variables. Prove that the relation?
holds for the characteristic functions of X and Xn. Use the one-to-one correspondence of conditional probability and conditional distribution functions.
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To prove that the relationship between the characteristic functions of X and Xn holds we can use the ...View the full answer
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