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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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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