LEADER 03395nam0 22004573i 450 001 VAN00268430 005 20260701102404.159 017 70$2N$a9781468462685 035 40$a875315243 100 $a20231205d1981 |0itac50 ba 101 $aeng 102 $aUS 105 $a|||| ||||| 181 $ai$b e 182 $ab 183 $acr 200 1 $aStationary random processes associated with point processes$fTomasz Rolski 210 $aNew York$cSpringer, 1981.$d vi, 215 $a p. : ill.$c24 c 327 $aIn 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. 410 1$1001VAN00001957$12001 $aLecture notes in statistics$1210 $aNew York [etc.]$cSpringer$d1980-$v5 606 $a60-XX$xProbability theory and stochastic processes [MSC 2020]$3VANC020428$2MF 606 $a60G10$xStationary stochastic processes [MSC 2020]$3VANC021552$2MF 606 $a60G55$xPoint processes (e.g., Poisson, Cox, Hawkes processes) [MSC 2020]$3VANC024268$2MF 606 $a60K25$xQueueing theory (aspects of probability theory) [MSC 2020]$3VANC019944$2MF 610 $aErgodic theory$9KW:K 610 $aPoint processes$9KW:K 610 $aQueuing theory$9KW:K 610 $aStationary processes$9KW:K 620 $aUS$dNew York$3VANL000011 700 1$aRolski$bTomasz$3VANV040997$0103667 712 $aSpringer $3VANV108073$4650 790 1$aRolski, T.$zRolski, Tomasz$3VANV259678 801 $aIT$bSOL$c20260911$gRICA 856 4 $uhttps://doi.org/10.1007/978-1-4684-6268-5$zE-book ? Accesso al full-text attraverso riconoscimento IP di Ateneo, proxy e/o Shibboleth 899 $aBIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICA$1IT-CE0120$2VAN08 912 $fN 912 $aVAN00268430 950 $aBIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICA$d08DLOAD e-book 7532 $e08eMF7532 20231211 996 $aStationary Random Processes Associated With Point Processes$9437884 997 $aUNICAMPANIA