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Books > Science & Mathematics > Mathematics > Applied mathematics > Stochastics
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Probability - Modeling and Applications to Random Processes (Hardcover)
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Probability - Modeling and Applications to Random Processes (Hardcover)
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Improve Your Probability of Mastering This Topic
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.
Deliberately conversational in tone, Probability is written for
students in junior- or senior-level probability courses majoring in
mathematics, statistics, computer science, or engineering. The book
offers a lucid and mathematicallysound introduction to how
probability is used to model random behavior in the natural world.
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 Variables
Included 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.
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