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PROBABILITY: MODELING AND APPLICATIONS TO RANDOM PROCESSES

PROBABILITY: MODELING AND APPLICATIONS TO RANDOM PROCESSES

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內容簡介

  This book takes an innovative approach to calculus-based probability theory, considering it within a framework for creating models of random phenomena. The author focuses on the synthesis of stochastic models concurrent with the development of distribution theory while also introducing the reader to basic statistical inference. In this way, the major stochastic processes are blended with coverage of probability laws, random variables, and distribution theory, equipping the reader to be a true problem solver and critical thinker.

 

目錄

The text contains the following chapters:
* Modeling
* Sets and Functions
* Probability Laws I: Building on the Axioms
* Probability Laws II: Results of Conditioning
* Random Variables and Stochastic Processes
* Discrete Random Variables and Applications in Stochastic Processes
* Continuous Random Variables and Applications in Stochastic Processes
* Covariance and Correlation Among Random VariablesIncluded exercises cover a wealth of additional concepts, such as conditional independence, Simpson's paradox, acceptance sampling, geometric probability, simulation, exponential families of distributions, Jensen's inequality, and many non-standard probability distributions.

 

詳細資料

  • ISBN:0471458929
  • 叢書系列:大學共同
  • 規格:精裝 / 459頁 / 普通級 / 單色印刷 / 初版
  • 出版地:台灣

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