inferential statistics--->

2. Consider an independent and identically distributed random sample X1, . . . , X1,l from an exponential population 1with unknown rate A :> D. The parameter of interest of this population is 6 = %\\/X. (a) Find the method of moments estimator for 9. (b) Write down the likelihood and log-likelihood functions for B. (c) Find the maximum likelihood estimator for H. l (d Use Jensen's inequality to show that the maximum likelihood estimator for H has non-negative bias