Making a two ways stochastic matrix
can be very hard especially when you have many elements in matrix such as a
matrix 5*5 or 6*6 and more. But, what is two ways stochastic matrix? A two ways stochastic matrix is when
the sum of all elements on each column and row are equal to 1. What is the
application of the two ways stochastic matrix? In the reference with article of
“Does this conjecture lead us toward an absolute justice in the world?” posted
on link: http://www.emfps.org/2018/02/a-model-to-produce-magic-matrix.html, by using a two ways stochastic
matrix, we will be able to predict a subject by using the Markov process.
Suppose
company X has a delivery system, if this company wants to use the Markov chain
to forecast the probability of delivery on each station, it will have to
investigate the statistics during the period of a specific time to obtain many
probability numbers.
Assume,
the company has 5 stations and according to its statistics, it has gotten 10
probabilities. There are two questions:
1.
Can these 10 probabilities make a two ways stochastic matrix?
2.
If the answer to question (1) is positive, what is two ways stochastic matrix?
Below
model is able to answer above questions:
Let me explain you about the
components of above model as follows:
1. On cells P3:Y3, we have inputs
including 10
probability
2. On cells Q4:T4, there are the
errors. The error on the sum of rows is error.H and the error on the sum of
columns is error.V.
3. On cells Q6:U10, we have outputs
which give us a two ways stochastic matrix.
You can see below captured movie as
the example for this model:
All researchers and individual
people, who are interested in having this model, don’t hesitate to send their
request to below addresses:
