[Solution] Let X1,….,Xn be a random sample from a uniform distribution, Xi ~ UNIF (theta - 1, theta + 1). Show that the sample mean, X bar, is an unbiased
Question: Let X1,….,Xn be a random sample from a uniform distribution,
Xi ~ UNIF (theta – 1, theta + 1).
- Show that the sample mean, X bar, is an unbiased estimator of theta.
- Show that the "midrange," (X1:n + Xn:n)/2 , is an unbiased estimator of theta.
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