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| Title Details: | |
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Random Variables and Stochastic Processes |
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| Authors: |
Stafylopatis, Andreas-Georgios Siolas, Georgios |
| Subject: | MATHEMATICS AND COMPUTER SCIENCE > COMPUTER SCIENCE > COMPUTATIONAL SCIENCE > INTRODUCTION TO MODELING AND SIMULATION MATHEMATICS AND COMPUTER SCIENCE > COMPUTER SCIENCE > COMPUTATIONAL SCIENCE > MODELING AND SIMULATION MATHEMATICS AND COMPUTER SCIENCE > COMPUTER SCIENCE > ARCHITECTURE AND ORGANIZATION > PERFORMANCE ENHANCEMENTS MATHEMATICS AND COMPUTER SCIENCE > COMPUTER SCIENCE > SYSTEMS FUNDAMENTALS |
| Description: | |
| Abstract: |
After a brief reminder of the basic concepts of probability theory (random variables, probability distributions, summarization, mean, variance), stochastic processes are defined based on probabilities. The Poisson process, birth-death processes and Markov processes (continuous and discrete-time) are treated in particular. The basic properties and main theorems for solving Markovian models in the steady state are presented and examples of their use for the analysis of computer systems are given.
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| Linguistic Editors: |
Pappas, Vasilios |
| Technical Editors: |
Siolas, Georgios |
| Graphic Editors: |
Siolas, Georgios |
| Type: |
Chapter |
| Creation Date: | 2015 |
| Item Details: | |
| License: |
Attribution – NonCommercial – NoDerivatives 4.0 International (CC BY-NC-ND 4.0) |
| Handle | http://hdl.handle.net/11419/6057 |
| Bibliographic Reference: | Stafylopatis, A., & Siolas, G. (2015). Random Variables and Stochastic Processes [Chapter]. In Stafylopatis, A., & Siolas, G. 2015. Performance Analysis of Computer Systems [Undergraduate textbook]. Kallipos, Open Academic Editions. https://hdl.handle.net/11419/6057 |
| Language: |
Greek |
| Is Part of: |
Performance Analysis of Computer Systems |
| Publication Origin: |
Kallipos, Open Academic Editions |