Let X1,X2,...Xn be a random sample of size n form a uniform distribution on the interval...

Let X₁,X₂,...X_n be a random sample of size n form a uniform distribution on the interval [θ₁,θ₂]. Let Y = min (X₁,X₂,...,X_n).

(a) Find the density function for Y. (Hint: find the cdf and then differentiate.)

(b) Compute the expectation of Y.

(c) Suppose θ₁= 0. Use part (b) to give an unbiased estimator for θ₂.

Expert Solution

TOPIC:Distribution of order statistic and Unbiased estimator.

milcah answered 7 months ago

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