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| 4. Suppose that Y₁, Y2, Y is a random sample of size m from Gamma(a = 3, B=0), where is not known. Check whether or not the maximum likelihood estimator 8 is a minimum variance unbiased estimator of the parameter e

| 4. Suppose that Y₁, Y2, Y is a random sample of size m from Gamma(a = 3, B=0), where is not known. Check whether or not the maximum likelihood estimator 8 is a minimum variance unbiased estimator of the parameter e

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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ard PAGE 2 OF 7 # Font 1449 WORDS Type here to search 5. 4. Suppose that Y₁, Y2, Ym is a random sample of size m from Gamma(a = 3, B = 0), where e is not known. Check whether or not the maximum likelihood estimator 0 is a minimum variance unbiased estimator of the parameter 6. Paragraph ENGLISH (SOUTH AFRICA) Suppose that a random sample X1, X2, X20 follows an exponential distribution with parameter p Check whether or not a pivotal quantity exixts, if it exists, find a 100(1-a)% confidence interval for B. Suppose that a random sample X is given by a probability density function 1 a -{-(8-2) f(x) =< Styles (B-2), 0<x<ß 0, otherwise Without using MGF technique, prove or disapprove that is a pivotal quantity 29°C ENG 15
Transcribed Image Text:ard PAGE 2 OF 7 # Font 1449 WORDS Type here to search 5. 4. Suppose that Y₁, Y2, Ym is a random sample of size m from Gamma(a = 3, B = 0), where e is not known. Check whether or not the maximum likelihood estimator 0 is a minimum variance unbiased estimator of the parameter 6. Paragraph ENGLISH (SOUTH AFRICA) Suppose that a random sample X1, X2, X20 follows an exponential distribution with parameter p Check whether or not a pivotal quantity exixts, if it exists, find a 100(1-a)% confidence interval for B. Suppose that a random sample X is given by a probability density function 1 a -{-(8-2) f(x) =< Styles (B-2), 0<x<ß 0, otherwise Without using MGF technique, prove or disapprove that is a pivotal quantity 29°C ENG 15
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