First Course in Probability

A First Course in Probability, Eighth Edition, features clear and intuitive explanations of the mathematics of probability theory, outstanding problem sets, and a variety of diverse examples and applications

A Probability Path /by Sidney I. Resnick. Many probability books are written by mathematicians and have the built in bias that the reader is assumed to be a mathematician coming to the material for its beauty. This textbook is geared towards beginning graduate students from a variety of disciplines whose primary focus is not necessarily mathematics for its own sake. Instead, A Probability Path is designed for those requiring a deep understanding of advanced probability for their research in statistics, applied probability, biology, operations research, mathematical finance, and engineering.

This is a text encompassing all of the standard topics in introductory probability theory, together with a significant amount of optional material of emerging importance. The emphasis is on a lucid and accessible writing style, mixed with a large number of interesting examples of a diverse nature. The text will prepare students extremely well for courses in more advanced probability and in statistical theory and for the actuary exam....

Many people do not understand the basic concepts of probability, as evidenced by the proliferation of those participating in lotteries, horse racing, and gambling at casinos. But probability and statistics are becoming increasingly important in today’s society. As the basic ideas are being taught in elementary schools through college, it’s important that everyone has a basic understanding of probability theory. Probability theory explains the happenings that occur due to chance. Although it is not possible to predict for certain the individual outcome of a chance process, it is possible to determine outcomes in the "long run," and to predict the probability that something will eventually occur. This book will present the basics of probability in a non-rigorous manner. Only an understanding of arithmetic and some basic algebra are necessary to learn these ideas. No high-powered mathematical notation or formal proofs will be used, rather the concepts will be developed from examples using coins, dice, cards, and other common probability devices. ...

A resource for probability AND random processes, with hundreds of worked examples and probability and Fourier transform tables.
This survival guide in probability and random processes eliminates the need to pore through several resources to find a certain formula or table. It offers a compendium of most distribution functions used by communication engineers, queuing theory specialists, signal processing engineers, biomedical engineers, physicists, and students.

The Twentieth Century has seen a dramatic rise in the use of probability and statistics in almost all fields of research. This has stimulated many new philosophical ideas on probability. Philosophical Theories of Probability is the first book to present a clear, comprehensive and systematic account of these various theories and to explain how they relate to one another. Gillies also offers a distinctive version of the propensity theory of probability, and the intersubjective interpretation, which develops the subjective theory....

The purpose of this monograph is to give an axiomatic foundation for the theory of probability. The author set himself the task of putting in their natural place, among the general notions of modern mathematics, the basic concepts of probability theory—concepts which until recently were considered to be quite peculiar. ...

Integral geometry originated with problems on geometrical probability and convex bodies. Its later developments, however, have proved to be useful in several fields ranging from pure mathematics (measure theory, continuous groups) to technical and applied disciplines (pattern recognition, stereology). This book is a systematic exposition of the theory and a compilation of the main results in the field. The volume can be used for a one-semester undergraduate course in probability and differential geometry or as a complement to classical courses on differential geometry, Lie groups, or probability. ...

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 challenging questions, as well as for proceeding with the study of a wide variety of more advanced topics.

Comprehensive and thorough development of both probability and statistics for serious computer scientists; goal-oriented: "to present the mathematical analysis underlying probability results"

• Special emphases on simulation and discrete decision theory...

The companion volume to Probability and Random Processes, 3rd Edition this book contains 1000+ exercises on the subjects of elelmentary aspects of probability and random variables, sampling, Markov chains, convergence, stationary processes, renewals, queues, Martingales, Diffusion, Mathematical finanace and the Black-Scholes model. ...

Much delayed, here is the second, final volume of Studies in Inductive Logic and Probability. Carnap projected the series 1959 as a nonperiodical journal for quick publication of advanced work in inductive logic. A medium for cooperative research, it would replace the abandoned second volume of the work "Probability and Induction" of which his Logical Foundations of Probability 1950 was to have been Volume I, and in which The Continuum of Inductive Methods 1952 was to have been part of Volume II. ...