The survival time of a certain type of mosquito in days following adult emergence is assumed to follow an exponential distribution with parameter λ. We observe 6 mosquitoes, and see lifetimes (4, 12, 6, 19, 9, 5). What is the MLE for λ? Suppose that the data was as above, except that instead of dying after 19 days, the fourth mosquito was observed to be still alive after 20 days, with the exact time of death not known. Now what is the MLE for λ?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
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The survival time of a certain type of mosquito in days following adult emergence is assumed to follow an exponential distribution with parameter λ. We observe 6 mosquitoes, and see lifetimes (4, 12, 6, 19, 9, 5). What is the MLE for λ? Suppose that the data was as above, except that instead of dying after 19 days, the fourth mosquito was observed to be still alive after 20 days, with the exact time of death not known. Now what is the MLE for λ?

 

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