Stationary Random Processes Associated with Point Processes

Name: Stationary Random Processes Associated with Point Processes
Brand: Springer-Verlag New York Inc.
SKU: 9780387905754
Price: 50.18 EUR
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Autor: Tomasz Rolski

Jazyk:

Väzba: Brožovaná

Vydavateľ: Springer-Verlag New York Inc.

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In this set of notes we study a notion of a random process assoc- ted with a point process. The pres...

Informácie o knihe

Autor

Tomasz Rolski

Jazyk

Angličtina

Väzba

Kniha - Brožovaná

Stránok

139

EAN

9780387905754

ISBN

0387905758

Enbook ID

01383661

Vydavateľ

Springer-Verlag New York Inc.

Hmotnosť

242

Rozmery

155 x 235 x 9

Kompletný popis

In this set of notes we study a notion of a random process assoc- ted with a point process. The presented theory was inSpired by q- ueing problems. However it seems to be of interest in other branches of applied probability, as for example reliability or dam theory. Using developed tools, we work out known, aswell as new results from queueing or dam theory. Particularly queues which cannot be treated by standard techniques serve as illustrations of the theory. In Chapter 1 the preliminaries are given. We acquaint the reader with the main ideas of these notes, introduce some useful notations, concepts and abbreviations. He also recall basic facts from ergodic theory, an important mathematical tool employed in these notes. Finally some basic notions from queues are reviewed. Chapter 2 deals with discrete time theory. It serves two purposes. The first one is to let the reader get acquainted with the main lines of the theory needed in continuous time without being bothered by tech nical details. However the discrete time theory also seems to be of interest itself. There are examples which have no counte~ in continuous time. Chapter 3 deals with continuous time theory. It also contains many basic results from queueing or dam theory. Three applications of the continuous time theory are given in Chapter 4. We show how to use the theory in order to get some useful bounds for the stationary distribution of a random process.

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Stationary Random Processes Associated with Point Processes

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