# Continuous-time Markov process - need help with flux and discrete-time equivalent

I have a continuous-time markov process and I need to calculate the following

• transition frequencies matrix (aka intensity matrix)
• transition probabilities
• all parameters which define permanence times in states
• the transition frequencies diagram
• the balance equations for the probability flux while in transient
• the markov discrete-time chain stochastically undistinguishable

Here's what I did:

• I wrote the matrix (first point) since it's an easy one.

• P(X(1)=j|X(0)=i) = $\frac{q_{i,j}}{v_i}$

• I think the parameters is here referring are the $\pi_i$ stationary probabilities since Permanence_time = $\pi_i*h$ where h is the time interval

• this should be the graphical representation with nodes and arcs from the first point's matrix, and I did this without problems

• I don't know what this point is referring to

• Idem, I don't know what does that mean

Can someone shed a bit of light on the last two points? I don't want the exercise done without trying, but I don't know how to proceed

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