书目名称 | Stationary Random Processes Associated with Point Processes |
编辑 | Tomasz Rolski |
视频video | |
丛书名称 | Lecture Notes in Statistics |
图书封面 |  |
描述 | 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 |
出版日期 | Book 1981 |
关键词 | Ergodic theory; Punktprozess; Stationärer Prozess; point process; queueing theory |
版次 | 1 |
doi | https://doi.org/10.1007/978-1-4684-6268-5 |
isbn_softcover | 978-0-387-90575-4 |
isbn_ebook | 978-1-4684-6268-5Series ISSN 0930-0325 Series E-ISSN 2197-7186 |
issn_series | 0930-0325 |
copyright | Springer-Verlag New York Inc. 1981 |