If X1, X2, and X3 constitute a random sample of size n = 3 from a Bernoulli population, show that Y = X1 + 2X2 + X3 is not a sufficient estimator of θ. Consider special values of X1, X2, and X3.)
Answer to relevant QuestionsIf X1, X2, . . . , Xn constitute a random sample of size n from a geometric population, show that Y = X1 + X2 + · · · + Xn is a sufficient estimator of the parameter θ. Given a random sample of size n from a continuous uniform population, use the method of moments to find formulas for estimating the parameters α and β. If X1, X2, . . . , Xn constitute a random sample of size n from a geometric population, find formulas for estimating its parameter α by using (a) The method of moments; (b) The method of maximum likelihood. If V1, V2, . . . , Vn and W1, W2, . . . , Wn are independent random samples of size n from normal populations with the means µ1 = α + β and µ2 = α – β and the common variance σ2 = 1, find maximum likelihood ...On 12 days selected at random, a city’s consumption of electricity was 6.4, 4.5, 10.8, 7.2, 6.8, 4.9, 3.5, 16.3, 4.8, 7.0, 8.8, and 5.4 million kilowatt- hours. Assuming that these data may be looked upon as a random ...
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