Given an exponential distribution with parameter 1. Sx(x) = le-4*, *20. (1) If the sample values of X are x, Xy.... and

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Given An Exponential Distribution With Parameter 1 Sx X Le 4 20 1 If The Sample Values Of X Are X Xy And 1 (15.66 KiB) Viewed 20 times

Given an exponential distribution with parameter 1. Sx(x) = le-4*, *20. (1) If the sample values of X are x, Xy.... and X find the estimators of 1 by both the methods of moments and maximum likelihood. (6/10) (2) Are those two estimators unbiased? And why? (2/10) (3) Given the observations as follows: 1.4, 1.5, 1.8, 1.9, 2.1, 2.3, 2.5, 2.7, 3.1, and 3.8. Find the estimates of 2 by the two estimators in (1). (2/10)