In: Statistics and Probability
You are given a number of i.i.d. (independent and identically distributed) observations that are (continuously) uniformly distributed in the interval from X to X+10 , where X is an unknown real valued parameter. Derive the ML (maximum likelihood) estimator for X. Given the observations 16.10 , 22.84 , 19.96 , 24.54 , 15.36 , 19.01 , 15.65 , 24.20 , 14.63 , 22.33 , compute the ML estimate for X. If the ML estimate is a range of values, then compute the midpoint of the interval of ML estimates and provide it as your answer. Round your answer to three decimal digits after the decimal point.