Use Monte Carlo to estimate the integral 0 = (32 (3x - 2x-10)dx. Perform this calculation...

 

Transcribed Image Text:

Use Monte Carlo to estimate the integral 0 = (32 (3x - 2x-10)dx. Perform this calculation m = 1000 times each for Monte Carlo sample sizes of n = 1000, n 10,000, and n 100,000. For each n, plot a histogram of (n)1,...,(n)m: and calculate the mean squared error of the estimate, m 1 MSE (n) ((n)i-00), m where (n); is the ith MC estimate of 0 for sample size n, and 80 is the true value of the integral 0. Use Monte Carlo to estimate the integral 0 = (32 (3x - 2x-10)dx. Perform this calculation m = 1000 times each for Monte Carlo sample sizes of n = 1000, n 10,000, and n 100,000. For each n, plot a histogram of (n)1,...,(n)m: and calculate the mean squared error of the estimate, m 1 MSE (n) ((n)i-00), m where (n); is the ith MC estimate of 0 for sample size n, and 80 is the true value of the integral 0.

Answer rating: 100% (QA)

Solutions The R output is thetaI theta0 t... View the full answer