Question: Consider iid , X100 ~ Beta(, ). There is no closed-form expression for (a) Write R code to calculate the negative log-likelihood for (, ),

Consider iid , X100 ~ Beta(, ). There is no closed-form expression for (a) Write R code to calculate the negative log-likelihood for (, ), given values (b) Write R code to generate values of Xi, x100 with a-20 and -10 the MLE of (, ) of X1 and evaluate MLE estimates (a, B) numerically using the mle function in the stats4 package (c) Simulate 1000 such data sets and evaluate MLE estimates of (, ) for each one. Summarize your results with a scatterplot of points (, ) and separate histograms for and
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