Probability, Statistics, and Stochastic Processes

Probability, Statistics, and Stochastic Processes
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Limit theorems. Statistics — point estimate and interval estimate, parametric and nonparametric hypotheses and significance testing.

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Stochastic processes — general notions. Stochastic process transformation- derivative, integral.

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Poisson process, white noise, telegraph signal. Markov chains and processes, birth-death process, mass service systems.

Stationary process. Mass service systems.

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Lectures, Numerical calculation practice and computer practice statistics. Lectures are conducted combining theoretical part of the subject matter with characteristic examples which facilitate understanding. During practice classes, which accompany the lectures, some characteristic problem tasks are done and the presented material is discussed in more detail. In addition to the lecture and practice classes there are regular consultations. Parts of the course which form a logical unit can be taken during the course in the form of 4 partial exams based on the modules module one: probability theory, module two: random variable, module three: statistics, module four: stochastic processes.

Probability, Statistics, and Stochastic Processes

The oral part of the final exam is not obligatory. Site map. Previous Next.

The authors combine a rigorous, calculus-based development of theory with an intuitive approach that appeals to readers' sense of reason and logic. Including more than examples that help illustrate concepts and theory, the Second Edition features new material on statistical inference and a wealth of newly added topics, including:. Extensively class-tested to ensure an accessible presentation, Probability, Statistics, and Stochastic Processes , Second Edition is an excellent book for courses on probability and statistics at the upper-undergraduate level.

The book is also an ideal resource for scientists and engineers in the fields of statistics, mathematics, industrial management, and engineering.

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Olofsson's research interests include stochastic processes, branching processes, mathematical biology, and Poisson approximation. Andersson's research interests include stochastic modeling of infectious diseases, epidemiology, and biological applications. If you do not receive an email within 10 minutes, your email address may not be registered, and you may need to create a new Wiley Online Library account. If the address matches an existing account you will receive an email with instructions to retrieve your username.

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Skip to Main Content. First published: 9 May About this book Praise for the First Edition ".

Including more than examples that help illustrate concepts and theory, the Second Edition features new material on statistical inference and a wealth of newly added topics, including: Consistency of point estimators Large sample theory Bootstrap simulation Multiple hypothesis testing Fisher's exact test and Kolmogorov-Smirnov test Martingales, renewal processes, and Brownian motion One-way analysis of variance and the general linear model Extensively class-tested to ensure an accessible presentation, Probability, Statistics, and Stochastic Processes , Second Edition is an excellent book for courses on probability and statistics at the upper-undergraduate level.

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