of a given high school. For this purpose, we would like to estimate the data generating process for absences. The following histogram summarizes the school's absence data for the ast year for N students assumed to have incurred absences independently of one another. Dersity Solution: 8 An education specialist with a background in statistics advises us that the data generating process can be well modelled by the Poisson distribution and hence the number of absences can be assumed to be a Poisson-distributed random variable. Write down the log-likelihood function for the problem and obtain an analytical solution for the Maximum Likelihood esti- mator of the model parameter in closed form. L(A) = ll.m. In L(X) = cage ebe N 13 II exp(X)yi! i=1 N Σ i=1 In 1⁹ exp(A)y;! N = ln(3) Σy; - Nx - Σ1n(y!) -Στα) i=1 i=1
of a given high school. For this purpose, we would like to estimate the data generating process for absences. The following histogram summarizes the school's absence data for the ast year for N students assumed to have incurred absences independently of one another. Dersity Solution: 8 An education specialist with a background in statistics advises us that the data generating process can be well modelled by the Poisson distribution and hence the number of absences can be assumed to be a Poisson-distributed random variable. Write down the log-likelihood function for the problem and obtain an analytical solution for the Maximum Likelihood esti- mator of the model parameter in closed form. L(A) = ll.m. In L(X) = cage ebe N 13 II exp(X)yi! i=1 N Σ i=1 In 1⁹ exp(A)y;! N = ln(3) Σy; - Nx - Σ1n(y!) -Στα) i=1 i=1
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
please only do: if you can teach explain steps of how to solve each part
Transcribed Image Text:Consider the applied problem of predicting the number of absences from school for students
of a given high school. For this purpose, we would like to estimate the data generating
process for absences. The following histogram summarizes the school's absence data for the
last year for N students assumed to have incurred absences independently of one another.
Dersity
Solution:
-15
06
L(A)
In L(X)
An education specialist with a background in statistics advises us that the data generating
process can be well modelled by the Poisson distribution and hence the number of absences
can be assumed to be a Poisson-distributed random variable. Write down the log-likelihood
function for the problem and obtain an analytical solution for the Maximum Likelihood esti-
mator of the model parameter in closed form.
=
=
23
caya eban
N
ΣIn
i=1
N
Bi
II exp(X)yi!
i=1
3.J
43
Yi
exp(X)y;!
N
N
In(A) Σyi - NX-In(y;!)
i=1
i=1
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