... Yn denote a random sample from Poisson distribution with parameter Lamda

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9.39 Let Y1, Y2, ... Yn denote a random sample from Poisson distribution with parameter Lamda. Show by conditioning that the sumYi is sufficient for lamda. 

9.43 Let Y1, Y2, ... Yn denote independent and identically distributed random variables from a power family distribution with parameters alpha and theta. Then if alpha, theta > 0, 
f(y|alpha, theta)= (alpha*y^(alpha - 1))/theta^alpha, y is on the interval 0 to theta. 
If theta is unknown show that the product Yi is sufficient for alpha.

    • 10 years ago
    ... Yn denote a random sample from Poisson distribution with parameter Lamda
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