a)Let Y₁, Y2,..., Yn denote a random sample of size n taken from a distribution with probabilitydensity function given by :-y-μ1 Вf(y,μ,B)= 2B e0,y>μ and p>0elsewhereAssuming μ = 0, find an estimator, ß for the parameter ß using method of moment.

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Answered: a) Let Y₁, Y2,..., Yn denote a random…

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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c) Let Y₁, Y₂, ..., Yn be a random sample whose probability density function is given by y3 - formez. 0, f(y; B) = 0 0 elsewhere 200 and suppose that n = 200, Σ²y₁ = 20, ²ºy² 100, i) Derive the standard error of ß, se() = 0.0009, using MLE approach. ii) Find an approximate 95% Confidence interval for B. = y = 250 and Â = 0.025.
Time series
Example 1 : Find the probability of drawing 2 red balls in succession from a bag containing 4 red and 5 black balls when the ball that is drawn first is (i) not replaced (ii) replaced.
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a) Let Y₁, Y2,..., Yn denote a random sample of size n taken from a distribution with probability density function given by : 1 f(y,μ‚ß)= 2B e 0 -y-μ В ,y>μ and p>0 elsewhere Assuming μ = 0, find an estimator, ß for the parameter ß using method of moment.