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Titlebook: Basics of Applied Stochastic Processes; Richard Serfozo Book 2009 Springer-Verlag Berlin Heidelberg 2009 60-02, 60-J10, 60-J27, 60-K05, 60

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发表于 2025-3-21 16:37:07 | 显示全部楼层 |阅读模式
期刊全称Basics of Applied Stochastic Processes
影响因子2023Richard Serfozo
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发行地址Includes supplementary material:
学科分类Probability and Its Applications
图书封面Titlebook: Basics of Applied Stochastic Processes;  Richard Serfozo Book 2009 Springer-Verlag Berlin Heidelberg 2009 60-02, 60-J10, 60-J27, 60-K05, 60
影响因子.Stochastic processes are mathematical models of random phenomena that evolve according to prescribed dynamics. Processes commonly used in applications are Markov chains in discrete and continuous time, renewal and regenerative processes, Poisson processes, and Brownian motion. This volume gives an in-depth description of the structure and basic properties of these stochastic processes. A main focus is on equilibrium distributions, strong laws of large numbers, and ordinary and functional central limit theorems for cost and performance parameters. Although these results differ for various processes, they have a common trait of being limit theorems for processes with regenerative increments. Extensive examples and exercises show how to formulate stochastic models of systems as functions of a system’s data and dynamics, and how to represent and analyze cost and performance measures. Topics include stochastic networks, spatial and space-time Poisson processes, queueing, reversible processes, simulation, Brownian approximations, and varied Markovian models...The technical level of the volume is between that of introductory texts that focus on highlights of applied stochastic processes,
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https://doi.org/10.1007/978-3-319-07938-7 large jump, etc. The first part of the present chapter continues the discussion of this basic Poisson process by presenting several characterizations of it, including the result that its point locations (i.e., occurrence times) on a finite time interval are equal in distribution to order-statistics from a uniform distribution on the interval.
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Energy-Efficient High-Speed SAR ADCs in CMOSr instance, birth-death and Brownian motion processes are continuous-time analogues of discrete-time random walks. One’s choice of a continuous- or discrete-time model for a system typically depends on how realistic it is, its ease in addressing the issues at hand, or in computing quantities of interest.
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Fahad Saeed,Muhammad Haseeb,Sumesh Kumar ally distributed. These are the defining properties of Brownian motion. This diffusion phenomenon, commonly encountered in other contexts as well, gave rise to the theory of Brownian motion and more general diffusion processes.
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Poisson Processes, large jump, etc. The first part of the present chapter continues the discussion of this basic Poisson process by presenting several characterizations of it, including the result that its point locations (i.e., occurrence times) on a finite time interval are equal in distribution to order-statistics from a uniform distribution on the interval.
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Continuous-Time Markov Chains,r instance, birth-death and Brownian motion processes are continuous-time analogues of discrete-time random walks. One’s choice of a continuous- or discrete-time model for a system typically depends on how realistic it is, its ease in addressing the issues at hand, or in computing quantities of interest.
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Book 2009 include stochastic networks, spatial and space-time Poisson processes, queueing, reversible processes, simulation, Brownian approximations, and varied Markovian models...The technical level of the volume is between that of introductory texts that focus on highlights of applied stochastic processes,
发表于 2025-3-23 07:22:44 | 显示全部楼层
1431-7028 ulation, Brownian approximations, and varied Markovian models...The technical level of the volume is between that of introductory texts that focus on highlights of applied stochastic processes,978-3-642-43043-5978-3-540-89332-5Series ISSN 1431-7028
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