Construct an ASH density estimate of the sepal length of iris data in iris $Sepal.length based on 10 histograms. Use the optimal bin width for the naive ASH estimate h = 2.5760n 1/5

Question 1 Generate a random sample of standard lognormal data (rlnorm()) for sample size n = 100. Construct histogram estimates of density for this sample using Sturges’ Rule, Scott’s Normal Reference Rule, and the FD Rule. Question 2 Construct a frequency polygon density estimate for the sample in Question 1, using bin width determined by Sturges’ Rule.

using r language Estimate the MSE of the level k trimmed means for random samples of size 20 generated from a standard Cauchy distribution. (The target parameter θis the center or median; the expected value does not exist.) Summarize the estimates of MSE in a table for k= 1,2,...,9

using r language The data law82 in bootstrap library contains LSAT and GPA for 82 law schools. Compute a 95% bootstrap t confidence interval estimates for the correlation statistics