Simulate random numbers from log normal distribution. X 1 ~log normal ( 1 0 , 3 )
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Simulate random numbers from log normal distribution.
X~log normal with sample size,
n
X~log normal with sample size,
n
X~log normal with sample size,
n
iFor comparisons, estimate the parameter using the maximum likelihoodestimation method for each sample, X X and X
ii Repeat this simulation for times. Each time, obtain the parameterestimates using the MLE. Compute the mean of both parameter estimates.
iii. From ii compute the bias and root mean square error. Discuss yourfindings.
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