STOCHASTIC SYSTEMS IN MERGING PHASE SPACE - Hardcover

Koroliuk, Vladimir S; Limnios, Nikolaos

 
9789812565914: STOCHASTIC SYSTEMS IN MERGING PHASE SPACE

Synopsis

This book provides recent results on the stochastic approximation of systems by weak convergence techniques. General and particular schemes of proofs for average, diffusion, and Poisson approximations of stochastic systems are presented, allowing one to simplify complex systems and obtain numerically tractable models.The systems discussed in the book include stochastic additive functionals, dynamical systems, stochastic integral functionals, increment processes and impulsive processes. All these systems are switched by Markov and semi-Markov processes whose phase space is considered in asymptotic split and merging schemes. Most of the results from semi-Markov processes are new and presented for the first time in this book.

"synopsis" may belong to another edition of this title.

Review

may serve as a textbook for applied scientists and engineers in stochastic approximation of complex systems

"About this title" may belong to another edition of this title.