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Let X1,X2, . . . ,Xn denote a random sample from b(1, p).

Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman ISBN: 9780321923271 41

Solution for problem 2E Chapter 6.6

Probability and Statistical Inference | 9th Edition

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Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

Probability and Statistical Inference | 9th Edition

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Problem 2E

Let X1,X2, . . . ,Xn denote a random sample from b(1, p). We know that  ) = p(1 − p)/n. (See Exercise6.4-12.)

(a) Find the Rao–Cramér lower bound for the variance of every unbiased estimator of p.

(b) What is the efficiency of as an estimator of p?

Reference Exercise6.4-12

Step-by-Step Solution:
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Chapter 6.6, Problem 2E is Solved
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Textbook: Probability and Statistical Inference
Edition: 9
Author: Robert V. Hogg, Elliot Tanis, Dale Zimmerman
ISBN: 9780321923271

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Let X1,X2, . . . ,Xn denote a random sample from b(1, p).

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