In: Statistics and Probability
URGENT!! PLEASE ANSWER QUICKLY
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+8 , where X is an unknown real valued parameter. Derive the ML (maximum likelihood) estimator for X. Given the observations 28.93 , 29.29 , 30.95 , 33.68 , 34.29 , 34.01 , 30.24 , 31.96 , 28.41 , 28.58 , 28.78 , 33.12 , 31.65 , 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.