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Hidden Markov model with two hidden states?

I am currently studying what Markov models are, and have a question. If we have a hidden Markov model with 2 hidden states or observations, then how do we find the probability of just the main state ...
MarleyMania's user avatar
2 votes
1 answer
134 views

The reference on Markov chains uncovering the power of the subject in a better way for a working macro-economist

This is by no means a research question. But asking here I hope for the most expert opinion. A friend of mine, who is a working economist, asked me for advice about a book which uncovers wealth and ...
Evgeny Kuznetsov's user avatar
1 vote
1 answer
170 views

Comprehensive reference for lumped or projected markov chains

Consider a Markov chain $X_n$ taking values in finite countable set $\mathcal{X}$ with transition matrix $P$. Consider a function $f:\mathcal{X}\to\mathcal{Y}$ inducing a partition $\mathcal{Y}=\{\...
Three Diag's user avatar
1 vote
0 answers
336 views

Existence of solution for Poisson equation in Markov chain

Consider $X_n\in \mathcal{X}$ a controlled Markov chain taking value in a compact set $\mathcal{X}$ with action $a\in \mathcal{A}$, where the action set $|\mathcal{A}|$ is finite. (In particular, we ...
Sung-En Chiu's user avatar
2 votes
1 answer
1k views

forward algorithm Hidden Markov Model

I am studying the the forward-backward algorithm used in Hidden Markov Models. I understand that you are trying to propagate through a sequence (and the available states) to find the most probable ...
brucezepplin's user avatar
1 vote
1 answer
238 views

Hidden Markov: representing joint probability for set of observations as a product of two subset probabilities

Good day to everyone! My question concerns Hidden Markov Models and is pretty basic. In one of the books ("Introduction to Machine Learning" by Ethem Alpaydin, 2nd Edition, p.373), I get the ...
AGro's user avatar
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