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Yn denote a random sample from Poisson distribution with parameter Lamda

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solution


Question

Question;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.

 

Paper#62030 | Written in 18-Jul-2015

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