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29. Consider a random sample X. X..... X, from the shifted exponential pdf f(x; , 0) = 0 otherwise Taking 6=0 gives the pdf
29. Consider a random sample X. X..... X, from the shifted exponential pdf f(x; , 0) = 0 otherwise Taking 6=0 gives the pdf of the exponential distribu- tion considered previously (with positive density to the right of zero). An example of the shifted exponential dis- tribution appeared in Example 4.5, in which the variable of interest was time headway in traffic flow and 0.5 was the minimum possible time headway. a. Obtain the maximum likelihood estimators of 0 and A. b. If n 10 time headway observations are made, resulting in the values 3.11, .64, 2.55, 2.20, 5.44, 3.42, 10.39, 8.93, 17.82, and 1.30, calculate the estimates of 0 and A.
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