Stochastic Ordering and Dependence in Applied Probability /
This book presents an introductory course in stochastic orderings and dependence and their applications to queues and networks of queues. Readers are assumed to have a firm grounding in Lebesgue measure, conditional expectation, and martingales. Chapter 1 presents a collection of one-dimensional ord...
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| Format: | eBook |
| Language: | English |
| Published: |
New York, NY :
Springer New York,
1995.
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| Series: | Lecture notes in statistics (Springer-Verlag) ;
97. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | This book presents an introductory course in stochastic orderings and dependence and their applications to queues and networks of queues. Readers are assumed to have a firm grounding in Lebesgue measure, conditional expectation, and martingales. Chapter 1 presents a collection of one-dimensional orderings with applications to the theory of queues. Chapter 2 extends these concepts to stochastic orderings in many dimensional spaces and functional spaces. Then results are given on stochastic ordering of networks, replacement policies, and single-server queues associated with Markov renewal processes. Finally, Chapter 3 is devoted to dependence and the relations between dependence and orderings, and it includes applications to queueing networks and point processes. |
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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (viii, 194 pages) |
| ISBN: | 9781461225287 (electronic bk.) 1461225280 (electronic bk.) |
| ISSN: | 0930-0325 ; |