(a) Show that the likelihood for these data is: e-100015 432 L(0) - (b) Using the likelihood function in part (a), calculate the maximum likelihood estimate (MLE) of 0.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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The number of goals scored per match in the first 10 matches, by the
English football premier league top goal scorer of the 2022/23 season,
were recorded. The data are given in the following table. Assume that
the number of goals scored by the player in a match follows a Poisson
distribution and let 0 denote the mean of the distribution.
Number of goals (x) 0 1 2 3 >3
Frequency
2 4 1 3 0
(a) Show that the likelihood for these data is:
-100 015
432
L(0) =
=
e
(b) Using the likelihood function in part (a), calculate the maximum
likelihood estimate (MLE) of 0.
Transcribed Image Text:The number of goals scored per match in the first 10 matches, by the English football premier league top goal scorer of the 2022/23 season, were recorded. The data are given in the following table. Assume that the number of goals scored by the player in a match follows a Poisson distribution and let 0 denote the mean of the distribution. Number of goals (x) 0 1 2 3 >3 Frequency 2 4 1 3 0 (a) Show that the likelihood for these data is: -100 015 432 L(0) = = e (b) Using the likelihood function in part (a), calculate the maximum likelihood estimate (MLE) of 0.
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