Time Sequence Markov to Probability Matrix

Stuck on this problem where I need to generate a program that will take user input and generate a probability matrix (full problem shown below). I figured out how to create the user input via inputdlg function, but clueless in how to generate a matrix, let alone one that can calculate the probabilities in them. I'm guessing it's a for-loop, but I'm a Matlab rookie. Any help would be greatly appreciated.

Answer 1

[Anurag Agrawal]

You can start with creating a square maxtrix of zeros. See this for more details:

M= zeros(n); %where n is the number of states

https://www.mathworks.com/help/matlab/ref/zeros.html

Then you use a nested for loop to update each of the values of the matrix according to your algorithm.

for c = 1:n
    for r = 1:n
        %Your code to calculate each value of the Matrix
        M(r,c) = %desired probability 
    end
end

Also, there are some inbuilt functions for Markov Chain Modelling, you can have a look at:

https://www.mathworks.com/help/econ/markov-chain-models.html

https://www.mathworks.com/help/econ/markov-chain-modeling.html