Can I read Markov Renewal and Piecewise Deterministic Processes (Probability Theory and Stochastic Modelling, 100) on EtoBox?

Markov Renewal and Piecewise Deterministic Processes (Probability Theory and Stochastic Modelling, 100) by Christiane Cocozza-Thivent is a nonfiction available to read on EtoBox.

What is Markov Renewal and Piecewise Deterministic Processes (Probability Theory and Stochastic Modelling, 100) about?

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.

Who reads Markov Renewal and Piecewise Deterministic Processes (Probability Theory and Stochastic Modelling, 100)?

Author

Christiane Cocozza-Thivent

Publisher

Springer International Publishing : Imprint: Springer

Published

2021

Language

EN

ISBN

9783030704469

Category

nonfiction

Subjects

Computer Science, Mathematics, Stem