ubmission before 14:30Question 1Let Y1, Y2, .,Yn denote a random sample of size n from a population whose density isgiven by(3y?fyle) = {030syse,0,elsewhere.1.1. Show that Yn) = max(Y,, Y2, .,Yn) is sufficient for 0.....1.2. In Question 1.1, it was shown that Y(m) = max(Y,, Y2, ., Y,) is sufficient for 0. Let Y(n) bethen an estimator. Is this estimator unbiased? If not, make it unbiased. Can we say that this unbiasedestimator is MVUE?1.3. If the unbiassed estimator in Question 1.2 is the MLE, is this MLE consistent?

Answered: Image /qna-images/answer/2d7515b7-d7bb-4a53-9f8b-2d48337b923d.jpg

elsewhere. 1.1. Show that Y(n) = max(Y,, Y2, ., Yn) is sufficient for 0. 1.2. In Question 1.1, it was shown that Y(n) = max(Y,, Y2. .., Yn) is sufficient for 0. Let Y(m) be then an estimator. Is this estimator unbiased? If not, make it unbiased. Can we say that this unbiased ... estimator is MVUE? 1.3. If the unbiassed estimator in Question 1.2 is the MLE, is this MLE consistent?

elsewhere. 1.1. Show that Y(n) = max(Y,, Y2, ., Yn) is sufficient for 0. 1.2. In Question 1.1, it was shown that Y(n) = max(Y,, Y2. .., Yn) is sufficient for 0. Let Y(m) be then an estimator. Is this estimator unbiased? If not, make it unbiased. Can we say that this unbiased ... estimator is MVUE? 1.3. If the unbiassed estimator in Question 1.2 is the MLE, is this MLE consistent?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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