
probability - Understanding the "Strength" of the Markov Property ...
Jan 13, 2024 · In my question, I will first present my understanding of the Strong Markov Property vs the Weak Markov Property, and then present a simulation. Ideally, in the simulation, we should be able …
Markov process vs. markov chain vs. random process vs. stochastic ...
Markov processes and, consequently, Markov chains are both examples of stochastic processes. Random process and stochastic process are completely interchangeable (at least in many books on …
probability - How to prove that a Markov chain is transient ...
Oct 5, 2023 · probability probability-theory solution-verification markov-chains random-walk See similar questions with these tags.
what is the difference between a markov chain and a random walk?
Jun 17, 2022 · I think Surb means any Markov Chain is a random walk with Markov property and an initial distribution. By "converse" he probably means given any random walk , you cannot conclude …
Relationship between Eigenvalues and Markov Chains
Jan 22, 2024 · I am trying to understand the relationship between Eigenvalues (Linear Algebra) and Markov Chains (Probability). Particularly, these two concepts (i.e. Eigenvalues and Markov Chains) …
property about transient and recurrent states of a Markov chain
Dec 25, 2020 · All states of a finite irreducible Markov chain are recurrent. As irreducible Markov chains have one class, statement $1$ implies all states are either transient or recurrent.
Proof of the Markov Property - Mathematics Stack Exchange
Feb 8, 2023 · You cannot "prove" Markov property, unless you are given some property of your chain beforehand (Markov property is often a part of the definition of a Markov chain)
When the sum of independent Markov chains is a Markov chain?
Jul 18, 2015 · Do you want to know whether the sum of two independent Markov chains is a Markov chain or whether the sum of two independent Markov processes is a Markov process? The title of …
Time homogeneity and Markov property - Mathematics Stack Exchange
Oct 3, 2019 · My question may be related to this one, but I couldn't figure out the connection. Anyway here we are: I'm learning about Markov chains from Rozanov's "Probability theory a concise course". …
Initial state of a Markov Process - Mathematics Stack Exchange
Jul 18, 2017 · Intuitively: If a Markov process has a limiting distribution (which is the "probability vector after a huge number of iterations [that is] independent from the initial probability vector that you …