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  • Book on Markov Decision Processes with many worked examples
    I have been looking at Puterman's classic textbook Markov Decision Processes: Discrete Stochastic Dynamic Programming, but it is over 600 pages long and a bit on the "bible" side I'm looking for something more like Markov Chains and Mixing Times by Levin, Wilmer and Peres, but for MDPs They have bite-sized chapters and a fair bit of explicit
  • What is the expected time to absorption in a Markov Chain given that . . .
    Consider the attached Markov Chain I need to calculate the E [number of visits to State 2 | the system starts from 2 and gets absorbed to State 1] More generally, I am interested in calculating the expected time to absorption given that the system is finally absorbed to a specific recurrent state
  • Definition of Markov operator - Mathematics Stack Exchange
    $\begingroup$ Read through 1 2 1 Markov Semigroups, Invariant Measures in "Analysis and Geometry of Markov Diffusion Operators" of Bakry et al $\endgroup$ – Tobsn Commented Mar 28, 2021 at 14:41
  • Relationship between Eigenvalues and Markov Chains
    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) seem to have a very natural relationship - but I have never been able to understand why this is I will first write my understanding of these concepts: Eigenvalues
  • When does equality in Markovs inequality occur? [duplicate]
    Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
  • probability - How to prove the tightness of Markovs bound . . .
    It really helps me I understand that "you give example" to show that it is tight so there is "no proof" as I understand Also, I understand that when expected value is 1, then we have a tight bound for Markov's bound So, thank you, I was thinking that there might be a proof $\endgroup$ –
  • probability - Real Applications of Markovs Inequality - Mathematics . . .
    Markov's Inequality and its corollary Chebyshev's Inequality are extremely important in a wide variety of theoretical proofs, especially limit theorems A previous answer provides an example In practice, these inequalities have sometimes been used to find bounds on probabilities arising in practice, hoping that the bounds would approximate the
  • Understanding the first step analysis of absorbing Markov chains
    Here is a proof I learn from a note on "first step analysis", which is essentially the same as Byron's answer
  • probability - How to prove that a Markov chain is transient . . .
    Now, I am examining various scenarios pertaining to classifying the states of this Markov chain,
  • What do Markov operators do? - Mathematics Stack Exchange
    Relation between the strong Markov property of a process and the strong Markov property of the associated canonical process on the path space Hot Network Questions Short male fertility spans evolutionarily remain despite natural selection and extended female fecundity





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