Let X1, . . ., Xn be a random sample from U (0, ) distribution. Let Yn
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(a) Show that θ-cap2 = 2X-bar is a method of moments estimator.
(b) Show that θ-cap1 is ,a biased estimator, and θ-cap2 is an unbiased estimator of θ.
(c) Show that θ-cap3 = n + 1/N θ-cap1 is an unbiased estimator of θ.
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Mathematical Statistics With Applications In R
ISBN: 9780124171138
2nd Edition
Authors: Chris P. Tsokos, K.M. Ramachandran
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