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+7 , where X is an unknown real valued parameter. Derive the ML (maximum likelihood) estimator for X. Given the observations 28.91 , 26.52 , 28.54 , 28.69 , 26.86 , 23.90 , 26.08 , 26.73 , 25.65 , 25.14 , 29.51 , 26.77 , 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.