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Zero-Order Markov Processes with Multiple Final Sequences of States
Authors: Alexandru Lazari
Keywords: zero-order Markov process, final sequence of states, evolution time, homogeneous linear recurrence, generating function
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Keywords: zero-order Markov process, final sequence of states, evolution time, homogeneous linear recurrence, generating function
Abstract
A zero-order Markov process with multiple final sequences of states represents a stochastic system with independent transitions that stops its evolution as soon as one of the given final sequences of states is reached. The transition time of the system is unitary and the transition probability depends only on the destination state. It is proved that the distribution of the evolution time is a homogeneous linear recurrent sequence and a polynomial algorithm to determine the initial state and the generating vector of this recurrence is developed. Using the generating function, the main probabilistic characteristics are determined.Institute of Mathematics and Computer Science,
Moldova State University,
5 Academiei str., Chisinau, MD-2028, Moldova.
E-mail:
Moldova State University,
5 Academiei str., Chisinau, MD-2028, Moldova.
E-mail:
DOI
https://doi.org/10.56415/basm.y2023.i2.p110Fulltext
– 0.11 Mb
Contents
- The Second Hankel Determinant for k-symmetrical Functions
- Relative Separation Axioms via Semi-Open Sets
- Growth Properties of Solutions to Higher Order Complex Linear Differential Equations with Analytic Coefficients in the Annulus
- On T-nilpotence of a matrix set
- On the Existence of Stationary Nash Equilibria for Mean Payoff Games on Graphs
- Global Asymptotic Stability of Generalized Homogeneous Dynamical Systems
- The linear Fredholm integral equations with functionals and parameters
- B-spline collocation method for solving Fredholm integral equations with discontinuous right-hand side
- On recursive 1-differentiability of the quasigroup prolongations
- Zero-Order Markov Processes with Multiple Final Sequences of States
