Markov Renewal and Piecewise Deterministic Processes, 1st ed. 2021 Probability Theory and Stochastic Modelling Series, Vol. 100
Auteur : Cocozza-Thivent Christiane
This book is aimed at researchers, graduate students and engineers who would like to be initiated to Piecewise Deterministic Markov Processes (PDMPs). A PDMP models a deterministic mechanism modified by jumps that occur at random times. The fields of applications are numerous : insurance and risk, biology, communication networks, dependability, supply management, etc.
Indeed, the PDMPs studied so far are in fact deterministic functions of CSMPs (Completed Semi-Markov Processes), i.e. semi-Markov processes completed to become Markov processes. This remark leads to considerably broaden the definition of PDMPs and allows their properties to be deduced from those of CSMPs, which are easier to grasp. Stability is studied within a very general framework. In the other chapters, the results become more accurate as the assumptions become more precise. Generalized Chapman-Kolmogorov equations lead to numerical schemes. The last chapter is an opening on processes for which the deterministic flow of the PDMP is replaced with a Markov process.
Marked point processes play a key role throughout this book.
Addresses both theory and applications
Focuses on an a priori easier model (the CSMPs) and then deduces the results for the PDMPs
Analyses what makes a result work and examines specific features only when necessary to obtain more precise results
Presents approach to students and includes an introduction to numerical schemes written for the uninitiated
Date de parution : 06-2022
Ouvrage de 252 p.
15.5x23.5 cm
Disponible chez l'éditeur (délai d'approvisionnement : 15 jours).
Prix indicatif 126,59 €
Ajouter au panierDate de parution : 06-2021
Ouvrage de 252 p.
15.5x23.5 cm
Disponible chez l'éditeur (délai d'approvisionnement : 15 jours).
Prix indicatif 126,59 €
Ajouter au panier