Question: Suppose that Y, Y and Y3 denote a random sample from an exponential distribution with probability density function, f(y) = { / 0 e/0;

Suppose that Y, Y and Y3 denote a random sample from an

Suppose that Y, Y and Y3 denote a random sample from an exponential distribution with probability density function, f(y) = { / 0 e/0; y > 0 ;0/w and the following five estimators are available for 0. 0 = 51/1,0 = 3Y + Y - 9 2 ,03 = Y i) Which of these estimators are unbiased? ii) What is the best estimator for ? iii) Find a multiple of and that are unbiased estimators of 0.

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