What is a Markov chain in MATLAB?
The aim of this page is to share Matlab Markov chain codes that I used during my studies of Markov chain modeling of the atmosphere. Markov chains can be used to simulate a process which is memoryless, i.e. future states only depend on the present and not on the past, a process which satisfies the Markov property.
How do I create a Markov-switching dynamic regression model?
Create a Markov-switching dynamic regression model from the switching mechanism mc and the state-specific submodels mdl. estimate treats the known diagonal elements of the transition matrix as equality constraints during estimation. For more details, see estimate.
How to construct a data-driven Markov chain?
Data-driven Markov chains can be estimated when time series of observations of such a process are available. The main strategy to construct a finite state Markov chain is as follows: Given a sequence of observations of a process, clustering techniques such as k-means can bring the number of states back to a finite number of states;
What is X_OBS in the conditional Markov chain?
After construction of the Conditional Markov Chain, an additional sequence X should be available, e.g. X=X_obs. In the context of climate or weather models, the large-scale variable X can for example be the average surface temperature in an area: a variable that is known to the model.
How to plot a directed graph of the Markov chain?
Create the Markov chain that is characterized by the transition matrix P. Display the normalized transition matrix stored in mc. Verify that the elements within rows sum to 1 for all rows. Plot a directed graph of the Markov chain.
How do I create a Markov chain from a transition matrix?
Otherwise, you can create a Markov chain from a randomly generated transition matrix of a specified structure, such as the number of infeasible transitions, by using mcmix. This example shows how to create a Markov chain object to model a hypothetical economic cycle using a stochastic transition matrix.
How do you determine if a Markov chain is reducible?
Compute the stationary distribution of a Markov chain, estimate its mixing time, and determine whether the chain is ergodic and reducible. Compare the estimated mixing times of several Markov chains with different structures. Programmatically and visually identify classes in a Markov chain.