4.14 Let X1, X2, ..., X, be a random sample from a Pareto population with probability density function f(x) = (1+x)0+1 where 0 is a positive unknown parameter. x> 0, (a) Find the Cramér-Rao lower bound on the population variance of any unbiased estima- tor of 0. (b) Find an exact two-sided 100(1 – a)% confidence interval for 0 from a single (n = 1) observation X. (c) A single observation X is used to test Ho : 0= 2 versus H1:0 < 2. Find the critical value at a = 0.01.
4.14 Let X1, X2, ..., X, be a random sample from a Pareto population with probability density function f(x) = (1+x)0+1 where 0 is a positive unknown parameter. x> 0, (a) Find the Cramér-Rao lower bound on the population variance of any unbiased estima- tor of 0. (b) Find an exact two-sided 100(1 – a)% confidence interval for 0 from a single (n = 1) observation X. (c) A single observation X is used to test Ho : 0= 2 versus H1:0 < 2. Find the critical value at a = 0.01.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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