Question: Suppose that 14, 10, 18, and 21 constitute a random sample of size 4 drawn from a uniform pdf defined over the interval [0, ],

Suppose that 14, 10, 18, and 21 constitute a random sample of size 4 drawn from a uniform pdf defined over the interval [0, θ], where θ is unknown. Find an unbiased estimator for θ based on Yʹ3, the third order statistic. What numerical value does the estimator have for these particular observations? Is it possible that we would know that an estimate for θ based on Yʹ3 was incorrect, even if we had no idea what the true value of θ might be? Explain.

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a So the unbiased estimator is 53Y 3 b 53Y ... View full answer

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