Let X1,. Xn be a random sample with paf is given by (x-a) e x > 0 f(x) = 0, otherwise. where 0 and a are unknown constants. a. Find the maximum likelihood estimates for 0 and a. b. If the useful lives (in hours) of some light bulbs randomly from the population produced the data: 415, 433, 489, 531, 466, 410, 479, 403, 562, 422. Evaluate the estimator for ô and

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A: It is an important part of statistics. It is widely used.

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.