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?
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?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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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?
Expert Solution
Step 1
Let X be the survival time of a certain type of mosquito in days following adult emergence is assumed to follow an exponential distribution with parameter λ.
Data given
(4, 12, 6, 19, 9, 5).
X~exp(λ)
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