Markov Set-Chains

In This Study Extending Classical Markov Chain Theory To Handle Fluctuating Transition Matrices, The Author Develops A Theory Of Markov Set-chains And Provides Numerous Examples Showing How That Theory Can Be Applied. Chapters Are Concluded With A Discussion Of Related Research. Readers Who Can Benefit From This Monograph Are Those Interested In, Or Involved With, Systems Whose Data Is Imprecise Or That Fluctuate With Time. A Background Equivalent To A Course In Linear Algebra And One In Probability Theory Should Be Sufficient. 0. Introduction -- 1. Stochastic Matrices And Their Variants -- 2. Introduction To Markov Set-chains -- 3. Convergence Of Markov Set-chains -- 4. Behavior In Markov Set-chains -- App. A.1. Norms -- App. A.2. Operations On Compact Sets -- App. A.3. Convex Sets, Polytopes, And Vertices -- App. A.4. Distance On Compact Sets -- App. A.5. Probability Results. Darald J. Hartfiel. Includes Bibliographical References And Index. Introduction....Pages 1-2 Stochastic matrices and their variants....Pages 3-25 Introduction to Markov set-chains....Pages 27-57 Convergence of Markov set-chains....Pages 59-89 Behavior in Markov set-chains....Pages 91-113