How to understand this exercise of markov chains?
in the university they left me an exercise in markov chains (the subject of which they did not explain, because we already finished class and the teacher did not reach the time). It turns out that they left us an exercise to solve, which is more or less resolved, because it has some steps, I understand a part, but when it shows the equations of combinations I do not understand how to get these equations: (S1 TO S3 combination)
ecuations
The complete problem is the following:
A university offers two-year specialization courses. The management is interested in knowing how many students graduated each year, how many students will continue in the university and how many will resign from the university. This information is useful for the planning of future teachers' needs and budget.
Since the specialization is 2 years, the students who finish university (a student who renounces the university is considered as a desertion). If the students continue in the university they can attend the following second year or repeat promero courses. Students who finish the second year, graduate or drop out to another university without completing the necessary courses to graduate. This university does not accept transfers from other universities.
Based on the above data, the proportion of students in each category has been determined, depending on the condition in which they were in the previous year. This information is shown in the following transition matrix:
Graph and matrix transition
Where:
S1: Category of first year student
S2: Second year student category
S3: Graduate student category
S4: Category of defected student
Thank you.
markov-chains
asked Nov 26 at 2:39
ElPapu
12
add a comment |
in the university they left me an exercise in markov chains (the subject of which they did not explain, because we already finished class and the teacher did not reach the time). It turns out that they left us an exercise to solve, which is more or less resolved, because it has some steps, I understand a part, but when it shows the equations of combinations I do not understand how to get these equations: (S1 TO S3 combination)
ecuations
The complete problem is the following:
A university offers two-year specialization courses. The management is interested in knowing how many students graduated each year, how many students will continue in the university and how many will resign from the university. This information is useful for the planning of future teachers' needs and budget.
Since the specialization is 2 years, the students who finish university (a student who renounces the university is considered as a desertion). If the students continue in the university they can attend the following second year or repeat promero courses. Students who finish the second year, graduate or drop out to another university without completing the necessary courses to graduate. This university does not accept transfers from other universities.
Based on the above data, the proportion of students in each category has been determined, depending on the condition in which they were in the previous year. This information is shown in the following transition matrix:
Graph and matrix transition
Where:
S1: Category of first year student
S2: Second year student category
S3: Graduate student category
S4: Category of defected student
Thank you.
markov-chains
asked Nov 26 at 2:39
ElPapu
12
add a comment |
in the university they left me an exercise in markov chains (the subject of which they did not explain, because we already finished class and the teacher did not reach the time). It turns out that they left us an exercise to solve, which is more or less resolved, because it has some steps, I understand a part, but when it shows the equations of combinations I do not understand how to get these equations: (S1 TO S3 combination)
ecuations
The complete problem is the following:
A university offers two-year specialization courses. The management is interested in knowing how many students graduated each year, how many students will continue in the university and how many will resign from the university. This information is useful for the planning of future teachers' needs and budget.
Since the specialization is 2 years, the students who finish university (a student who renounces the university is considered as a desertion). If the students continue in the university they can attend the following second year or repeat promero courses. Students who finish the second year, graduate or drop out to another university without completing the necessary courses to graduate. This university does not accept transfers from other universities.
Based on the above data, the proportion of students in each category has been determined, depending on the condition in which they were in the previous year. This information is shown in the following transition matrix:
Graph and matrix transition
Where:
S1: Category of first year student
S2: Second year student category
S3: Graduate student category
S4: Category of defected student
Thank you.
markov-chains
asked Nov 26 at 2:39
ElPapu
12
in the university they left me an exercise in markov chains (the subject of which they did not explain, because we already finished class and the teacher did not reach the time). It turns out that they left us an exercise to solve, which is more or less resolved, because it has some steps, I understand a part, but when it shows the equations of combinations I do not understand how to get these equations: (S1 TO S3 combination)
ecuations
The complete problem is the following:
A university offers two-year specialization courses. The management is interested in knowing how many students graduated each year, how many students will continue in the university and how many will resign from the university. This information is useful for the planning of future teachers' needs and budget.
Since the specialization is 2 years, the students who finish university (a student who renounces the university is considered as a desertion). If the students continue in the university they can attend the following second year or repeat promero courses. Students who finish the second year, graduate or drop out to another university without completing the necessary courses to graduate. This university does not accept transfers from other universities.
Based on the above data, the proportion of students in each category has been determined, depending on the condition in which they were in the previous year. This information is shown in the following transition matrix:
Graph and matrix transition
Where:
S1: Category of first year student
S2: Second year student category
S3: Graduate student category
S4: Category of defected student
Thank you.
markov-chains
markov-chains
asked Nov 26 at 2:39
ElPapu
12
asked Nov 26 at 2:39
ElPapu
12
edited Nov 26 at 2:52
asked Nov 26 at 2:39
ElPapu
12
asked Nov 26 at 2:39
ElPapu
12
asked Nov 26 at 2:39
ElPapu
12
12
add a comment |
add a comment |
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