Consider the probability density function f(x; theta) = x (1 - theta)1-x. x = 0, 1,0...

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Consider the probability density function f(x; theta) = x (1 - theta)1-x. x = 0, 1,0 <0 <1, = 0 elsewhere. Let X, X,... Xn be a random sample from this distribution. Using the Fisher-Neyman criterion, show that the statistic Y = x + x + ... + Xn is a sufficient statistic for 8. (1) Consider the probability density function f(x; theta) = x (1 - theta)1-x. x = 0, 1,0 <0 <1, = 0 elsewhere. Let X, X,... Xn be a random sample from this distribution. Using the Fisher-Neyman criterion, show that the statistic Y = x + x + ... + Xn is a sufficient statistic for 8. (1)

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