3 edition of Concepts of probability theory found in the catalog.
Concepts of probability theory
Paul E. Pfeiffer
Bibliography: p. 390-392.
|Statement||[by] Paul E. Pfeiffer.|
|Series||McGraw-Hill series in probability and statistics|
|LC Classifications||QA273 .P4|
|The Physical Object|
|Pagination||xiii, 399 p.|
|Number of Pages||399|
|LC Control Number||65016869|
Probability theory is often considered to be a mathematical subject, with a well-developed and involved literature concerning the probabilistic behavior of various systems (see Feller, ), but it is also a philosophical subject – where the focus is the exact meaning of the concept of probability and the ways in which it relates to the. The various features of this textbook make it possible for engineering students to become well versed in the 'machinery' of probability theory. They also make the book a useful resource for self-study by practicing engineers and researchers who need a more thorough grasp of particular topics.
Chapter 2 deals with probability measures and includes a discussion of the fundamental concepts of probability theory. These concepts are formulated abstractly but without sacrificing intuition. The last chapter is devoted to infinite sums of independent real random variables. The birth of probability theory is usually set in the mid-seventeenth century. At that time the two great mathematicians Blaise Pascal (–) and Pierre de Fermat (– ) discussed together some gambling problems and defined the theoretical basis of the mathematical theory of classical probability. However, the first studies on the calculation of probabilities appeared already a.
Concepts of probability theory. New York: Dover Publications, (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: Paul E Pfeiffer. Classic book on probability theory. It demonstrates, without the use of higher mathematics, the application of probability to games of chance, physics, reliability of witnesses, astronomy, insurance, democratic government, and many other areas. ( views) .
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Also, this book requires no measure theory. Chapter 1 covers basic concepts: probability as relative frequency, sampling with and without replacement, binomial and multinomial coefficients. Chapter 2 is titled "Combination of Events".Cited by: This books presents in a very compact way the fundamental aspects of probability provides the key concepts and tools a student needs to master the Exam P of the Society of Actuaries (SOA) and the Exam 1 of the Casualty Actuarial Society (CAS).
This text benefits from the vision and experience of the author, who is a professor who has taught probability theory in finance, insurance /5(7).
This book covers the following topics: Basic Concepts of Probability Theory, Random Variables, Multiple Random Variables, Vector Random Variables, Sums of Random Variables and Long-Term Averages, Random Processes, Analysis and Processing of Random Signals, Markov Chains, Introduction to Queueing Theory and Elements of a Queueing System.
Concepts of Probability Theory book. Read reviews from world’s largest community for readers. Using the simple conceptual framework of the Kolmogorov mod /5. This approach to the basics of probability theory employs the simple conceptual framework of the Kolmogorov model, a method that comprises both the literature of applications and the literature on pure mathematics.
The author also presents a substantial introduction to the idea of a random process. Intended for college juniors and seniors majoring in science, engineering, or mathematics, the. In this course, part of our Professional Certificate Program in Data Science, you will learn valuable concepts in probability theory.
The motivation for this course is the circumstances surrounding the financial crisis of – If anybody asks for a recommendation for an introductory probability book, then my suggestion would be the book by Henk Tijms, Understanding Probability, second edition, Cambridge University Press, This book first explains the basic ideas and concepts of probability through the use of motivating real-world examples before presenting the theory in a very clear way.
Probability Concepts and Theory for Engineers This book offers a detailed explanation of the basic models and mathematical principles used in applying probability theory to practical problems.
' which serves as the bridge between any real-world situation and its analysis by means of the mathematics of probability.
Throughout the book. famous text An Introduction to Probability Theory and Its Applications (New York: Wiley, ).
In the preface, Feller wrote about his treatment of ﬂuctuation in coin tossing: “The results are so amazing and so at variance with common intuition that even sophisticated colleagues doubted that coins actually misbehave as theory by: Using the simple conceptual framework of the Kolmogorov model, this intermediate-level textbook discusses random variables and probability distributions, sums and integrals, mathematical expectation, sequence and sums of random variables, and random processes.
For advanced undergraduate students of science, engineering, or mathematics acquainted with basic calculus. A thorough introduction to the fundamentals of probability theory This book offers a detailed explanation of the basic models and mathematical principles used in applying probability theory to practical problems.
It gives the reader a solid foundation for formulating and solving many kinds of probability problems for deriving additional results that may be needed in order to address more.
The book can serve as an introduction of the probability theory to engineering students and it supplements the continuous and discrete signals and systems course to provide a practical perspective of signal and noise, which is important for upper level courses such as the classic control theory and communication system design/5(6).
Probability theory, a branch of mathematics concerned with the analysis of random phenomena. The outcome of a random event cannot be determined before it occurs, but it may be any one of several possible outcomes. The actual outcome is considered to be determined by chance.
The word probability has several meanings in ordinary conversation. Two of these are particularly important for the. This self-contained, comprehensive book tackles the principal problems and advanced questions of probability theory and random processes in 22 chapters, presented in a logical order but also suitable for dipping into.
They include both classical and more recent results, such as large deviations. Book Seeing Theory. A visual introduction to probability and statistics. Chapter 1 Basic Probability. This chapter is an introduction to the basic concepts of probability theory. Go to Basic Probability. Chance Events. Expectation.
Variance. Chapter 2 Compound Probability. This chapter discusses further concepts that lie at the core of. Publisher Summary. This chapter presents the basic concepts of the theory of measure and integration. A measure is a set function, that is, an assignment of a number μ (A) to each set A in a certain class.
Some structure must be imposed on the class of sets on which μ is defined, and probability considerations provide a good motivation for the type of structure required. Preface This book is an introductory text on probability and statistics, targeting students who.
During our third meeting which took place on 5/15 we went over Chapter 3: Probability and Information Theory. (Book is available online for Author: Alena Kruchkova. The aim of this book is to serve as a reference text to provide an orientation in the enormous material which probability theory has accumulated so far.
The book mainly treats such topics like the founda tions of probability theory, limit theorems and random processes. The bibliography gives a. The theory is developed rigorously and in a self-contained way, with the chapters on measure theory interlaced with the probabilistic chapters in order to display the power of the abstract concepts in probability theory.
This second edition has been carefully extended and includes many new features. 1Basic Concepts of Probability Theory Randomness and uncertainty, which always go hand in hand, exist in virtually every aspect of life.
To this effect, almost everyone has a basic - Selection from Probability, Random Variables, Statistics, and Random Processes [Book].Theoretical and experimental probability: Coin flips and die rolls.
Counting with permutations. Math High school statistics Probability Probability basics. Explore what probability means and why it's useful. Google Classroom Facebook Twitter. Probability basics. Intro to theoretical probability.
This is the currently selected item.Genre/Form: Einführung: Additional Physical Format: Online version: Pfeiffer, Paul E. Concepts of probability theory.
New York, McGraw-Hill  (OCoLC)