Highlights
Task
This is an individual assignment. Attach the question and the R program and summarized the output when sending in the assignment. Your answer can never be the same as another student’s answer since the random numbers generated would most definitely be different for each student. Please do not set any seeds when simulate the random numbers.independent and identically distributed random variables from the PDFgiven in the Table 2. You are only required to estimate ONE parameter which is the one in BOLD. The other parameter is simply a constant with values given in the table.
Please answer the following:
(a) Simulate30, 50, 80 and 100 random samples from Draw the histogram of the simulated random samples from and comments
(b) Find the maximum likelihood estimate (MLE) of the parameter in BOLD, let say Repeat this for 1000 times and obtain the MLE of error and root mean square error (RMSE) of using these 1000 estimates at different sample sizes. Summarized your results in a table and comments.
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