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Using R, run simulated annealing for a 2 parameter cauchy distribution (with beta constrained to 0.1, so only a single parameter alpha remains) and the negative log-likelihood curve for alpha has serval optima. show a summary graph of the values of alpha visited during the algorithm and how they relate to the position of the optima. data of the cauchy distribution are x<- c(-4.20, -2.85, -2.30, -1.02, 0.70, 0.98, 2.72, 3.50)

Using R, run simulated annealing for a 2 parameter cauchy distribution (with beta constrained to 0.1, so only a single parameter alpha remains) and the negative log-likelihood curve for alpha has serval optima. show a summary graph of the values of alpha visited during the algorithm and how they relate to the position of the optima. data of the cauchy distribution are x<- c(-4.20, -2.85, -2.30, -1.02, 0.70, 0.98, 2.72, 3.50)

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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Using R, run simulated annealing for a 2 parameter cauchy distribution (with beta constrained to 0.1, so only a single parameter alpha remains) and the negative log-likelihood curve for alpha has serval optima. show a summary graph of the values of alpha visited during the algorithm and how they relate to the position of the optima.

data of the cauchy distribution are x<- c(-4.20, -2.85, -2.30, -1.02, 0.70, 0.98, 2.72, 3.50) 

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