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  3. 29 consider a random sample x x x from the shifted

29 Consider a random sample X X X from the shifted exponential pdf f x...

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29 Consider a random sample X X X from the shifted exponential pdf f x A 0 Jae ix 0 x20 otherwise Taking 0 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 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 8 and A

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