Find the minimum sufficient statistic in the following situations. In order to establish minimality, when this is not obvious, consider the ratio L(0; y)/L(0; z) for two data sets y and z. What is the minimal requirement on y and z to have in common, for this ratio to be free of parameters? 1) A sample from a uniform distribution on the interval (e – 1/2, 0 + 1/2) 2) A simple linear regression model, under normality, with x-values fixed.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 11PPS
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Find the minimum sufficient statistic in the following situations. In order to establish minimality, when
this is not obvious, consider the ratio L(0; y)/L(e; z) for two data sets y and z. What is the minimal
requirement on y and z to have in common, for this ratio to be free of parameters?
1) A sample from a uniform distribution on the interval (0 – 1/2, 0 + 1/2)
2) A simple linear regression model, under normality, with x-values fixed.
Transcribed Image Text:Find the minimum sufficient statistic in the following situations. In order to establish minimality, when this is not obvious, consider the ratio L(0; y)/L(e; z) for two data sets y and z. What is the minimal requirement on y and z to have in common, for this ratio to be free of parameters? 1) A sample from a uniform distribution on the interval (0 – 1/2, 0 + 1/2) 2) A simple linear regression model, under normality, with x-values fixed.
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