Basics of Applied Stochastic Processes 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Serfozo, Richard 作者

译者

2012-10 出版日期

460 页数

$ 101.64 价格

丛书系列

9783540893318 图书编码

Basics of Applied Stochastic Processes 在线电子书图书标签: Stochastic Processes 计算机科学数学 Springer Of Basics Applied

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Basics of Applied Stochastic Processes 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Basics of Applied Stochastic Processes 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

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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, and advanced texts that focus on theoretical aspects of processes.

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