Stochastic Ordering and Dependence in Applied Probability:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1995
|
| Schriftenreihe: | Lecture Notes in Statistics
97 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This book is an introductionary course in stochastic ordering and dependence in the field of applied probability for readers with some background in mathematics. It is based on lectures and senlinars I have been giving for students at Mathematical Institute of Wroclaw University, and on a graduate course a.t Industrial Engineering Department of Texas A&M University, College Station, and addressed to a reader willing to use for example Lebesgue measure, conditional expectations with respect to sigma fields, martingales, or compensators as a common language in this field. In Chapter 1 a selection of one dimensional orderings is presented together with applications in the theory of queues, some parts of this selection are based on the recent literature (not older than five years). In Chapter 2 the material is centered around the strong stochastic ordering in many dimen sional spaces and functional spaces. Necessary facts about conditioning, Markov processes an"d point processes are introduced together with some classical results such as the product formula and Poissonian departure theorem for Jackson networks, or monotonicity results for some re newal processes, then results on stochastic ordering of networks, re~~ment policies and single server queues connected with Markov renewal processes are given. Chapter 3 is devoted to dependence and relations between dependence and ordering, exem plified by results on queueing networks and point processes among others |
| Beschreibung: | 1 Online-Ressource (VIII, 194p) |
| ISBN: | 9781461225287 9780387944500 |
| ISSN: | 0930-0325 |
| DOI: | 10.1007/978-1-4612-2528-7 |
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Datensatz im Suchindex
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| dewey-ones | 519 - Probabilities and applied mathematics |
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| discipline | Mathematik |
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| id | DE-604.BV042420038 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:06Z |
| institution | BVB |
| isbn | 9781461225287 9780387944500 |
| issn | 0930-0325 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027855455 |
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| spelling | Szekli, R. Verfasser aut Stochastic Ordering and Dependence in Applied Probability by R. Szekli New York, NY Springer New York 1995 1 Online-Ressource (VIII, 194p) txt rdacontent c rdamedia cr rdacarrier Lecture Notes in Statistics 97 0930-0325 This book is an introductionary course in stochastic ordering and dependence in the field of applied probability for readers with some background in mathematics. It is based on lectures and senlinars I have been giving for students at Mathematical Institute of Wroclaw University, and on a graduate course a.t Industrial Engineering Department of Texas A&M University, College Station, and addressed to a reader willing to use for example Lebesgue measure, conditional expectations with respect to sigma fields, martingales, or compensators as a common language in this field. In Chapter 1 a selection of one dimensional orderings is presented together with applications in the theory of queues, some parts of this selection are based on the recent literature (not older than five years). In Chapter 2 the material is centered around the strong stochastic ordering in many dimen sional spaces and functional spaces. Necessary facts about conditioning, Markov processes an"d point processes are introduced together with some classical results such as the product formula and Poissonian departure theorem for Jackson networks, or monotonicity results for some re newal processes, then results on stochastic ordering of networks, re~~ment policies and single server queues connected with Markov renewal processes are given. Chapter 3 is devoted to dependence and relations between dependence and ordering, exem plified by results on queueing networks and point processes among others Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Stochastische Abhängigkeit (DE-588)4220425-2 gnd rswk-swf Stochastischer Prozess (DE-588)4057630-9 gnd rswk-swf Wahrscheinlichkeit (DE-588)4137007-7 gnd rswk-swf Stochastische Ordnung (DE-588)4329325-6 gnd rswk-swf Ordnungsstatistik (DE-588)4212486-4 gnd rswk-swf Stochastische Ordnung (DE-588)4329325-6 s 1\p DE-604 Wahrscheinlichkeit (DE-588)4137007-7 s 2\p DE-604 Stochastischer Prozess (DE-588)4057630-9 s 3\p DE-604 Ordnungsstatistik (DE-588)4212486-4 s 4\p DE-604 Stochastische Abhängigkeit (DE-588)4220425-2 s 5\p DE-604 https://doi.org/10.1007/978-1-4612-2528-7 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 5\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Szekli, R. Stochastic Ordering and Dependence in Applied Probability Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Stochastische Abhängigkeit (DE-588)4220425-2 gnd Stochastischer Prozess (DE-588)4057630-9 gnd Wahrscheinlichkeit (DE-588)4137007-7 gnd Stochastische Ordnung (DE-588)4329325-6 gnd Ordnungsstatistik (DE-588)4212486-4 gnd |
| subject_GND | (DE-588)4220425-2 (DE-588)4057630-9 (DE-588)4137007-7 (DE-588)4329325-6 (DE-588)4212486-4 |
| title | Stochastic Ordering and Dependence in Applied Probability |
| title_auth | Stochastic Ordering and Dependence in Applied Probability |
| title_exact_search | Stochastic Ordering and Dependence in Applied Probability |
| title_full | Stochastic Ordering and Dependence in Applied Probability by R. Szekli |
| title_fullStr | Stochastic Ordering and Dependence in Applied Probability by R. Szekli |
| title_full_unstemmed | Stochastic Ordering and Dependence in Applied Probability by R. Szekli |
| title_short | Stochastic Ordering and Dependence in Applied Probability |
| title_sort | stochastic ordering and dependence in applied probability |
| topic | Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Stochastische Abhängigkeit (DE-588)4220425-2 gnd Stochastischer Prozess (DE-588)4057630-9 gnd Wahrscheinlichkeit (DE-588)4137007-7 gnd Stochastische Ordnung (DE-588)4329325-6 gnd Ordnungsstatistik (DE-588)4212486-4 gnd |
| topic_facet | Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Stochastische Abhängigkeit Stochastischer Prozess Wahrscheinlichkeit Stochastische Ordnung Ordnungsstatistik |
| url | https://doi.org/10.1007/978-1-4612-2528-7 |
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