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i) statistic, Find the conditional distribution of the likelihood function given the function of the Ô = Σ₁ X₁. Hint: Apply ƒ(L(0)|g(0,0)). Based on i) above, is Ô = Σ, X, a sufficient statistic? Justify your answer. iii) Show whether or not X, is a consistent estimator of the parameter 1 ist wante

i) statistic, Find the conditional distribution of the likelihood function given the function of the Ô = Σ₁ X₁. Hint: Apply ƒ(L(0)|g(0,0)). Based on i) above, is Ô = Σ, X, a sufficient statistic? Justify your answer. iii) Show whether or not X, is a consistent estimator of the parameter 1 ist wante

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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DS Font Paragraph Styles a) Let X₁, X2, X₂ be a random sample of size n from population x. Suppose that x has the following probability mass function: re to search F 1) statistic, = ENGLISH (SOUTH AFRICA) x = 1,2,3,... elsewhere Find the conditional distribution of the likelihood function given the function of the (0 (1 - 0)*-¹, f(x; 0) = {0, ₁X₁ Hint: Apply f(L(0)|g(0,0)). Based on i) above, is Ô = 2, X, a sufficient statistic? Justify your answer. ii) Show whether or not X, is a consistent estimator of the parameter IV) b) Suppose that a South African Broadcasting Corporation (SABC) official wants to conduct a survey in Limpopo to estimate, with 95% confidence, a support for the premier's strategies on economy within 3% error. If the official has initial estimate that 70% of the people in Limpopo support the economic strategies of the premier. How many people should SABC survey? c) Let Y₁, Y2Yn be a random sample whose probability density function is given by a f(y; B) = 0 < y<co and ß> 0 0, elsewhere and suppose that n = 200, 2200 y = 20, y = 100, Σ = 250 and $ = 0.025 y3 684 20°C 20
Transcribed Image Text:DS Font Paragraph Styles a) Let X₁, X2, X₂ be a random sample of size n from population x. Suppose that x has the following probability mass function: re to search F 1) statistic, = ENGLISH (SOUTH AFRICA) x = 1,2,3,... elsewhere Find the conditional distribution of the likelihood function given the function of the (0 (1 - 0)*-¹, f(x; 0) = {0, ₁X₁ Hint: Apply f(L(0)|g(0,0)). Based on i) above, is Ô = 2, X, a sufficient statistic? Justify your answer. ii) Show whether or not X, is a consistent estimator of the parameter IV) b) Suppose that a South African Broadcasting Corporation (SABC) official wants to conduct a survey in Limpopo to estimate, with 95% confidence, a support for the premier's strategies on economy within 3% error. If the official has initial estimate that 70% of the people in Limpopo support the economic strategies of the premier. How many people should SABC survey? c) Let Y₁, Y2Yn be a random sample whose probability density function is given by a f(y; B) = 0 < y<co and ß> 0 0, elsewhere and suppose that n = 200, 2200 y = 20, y = 100, Σ = 250 and $ = 0.025 y3 684 20°C 20
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