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Continuous-Time Markov Chains - Zhenting Hou, Junping Li, Anyue Chen

Continuous-Time Markov Chains

Q-Matrix Problem
Buch | Hardcover
400 Seiten
2025
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-283-806-3 (ISBN)
CHF 109,95 inkl. MwSt
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Reports the progress in the field of continuous-time Markov chains (CTMCs), with a comprehensive and extensive discussion on its general theory and applications. This book covers the properties of Q-matrix and transition function as well as the existence and uniqueness of Q-processes in stable and unstable cases.
This book reports the recent progress in the field of continuous-time Markov chains (CTMCs), with a comprehensive and extensive discussion on its general theory and applications. It covers the properties of Q-matrix and transition function as well as the existence and uniqueness of Q-processes in stable and unstable cases. Monotonity, recurrency and ergodicity criteria are presented in this book. It also gives some important conclusions regarding the transiency properties, including invariant measures and quasi-limiting distributions for some important Q-processes.

Transition Functions and Q-Matrix; Some Basic Tools; Existence of Q-Processes: Stable Q-Matrix Case; Uniqueness of Q-Processes: Stable Q-Matrix Case; Existence and Uniqueness: Unstable Q-Matrix Case; Irreducibility and Recurrence; Ergodicity and Equilibrium Distribution; Absorbing Chains and Branching Processes; Invariant Measure and Quasi-Limiting Distributions; Reversibility and Birth-Death Processes; Monotonity and Duality; Coupling and Spectral Gap; Markovian Queues and Skip-Free Processes.

Erscheint lt. Verlag 28.2.2025
Verlagsort Singapore
Sprache englisch
Themenwelt Mathematik / Informatik Mathematik Wahrscheinlichkeit / Kombinatorik
ISBN-10 981-283-806-6 / 9812838066
ISBN-13 978-981-283-806-3 / 9789812838063
Zustand Neuware
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