Updated classic statistics text, with new problems and examples. “Probability and Statistical Inference”, Third Edition helps students grasp essential concepts of statistics and its probabilistic foundations. This book focuses on the development of intuition and understanding in the subject through a wealth of examples illustrating concepts, theorems, and methods. The reader will recognize and fully understand the why and not just the how behind...

We live in a more turbulent world than we like to think. Yet the science we use to analyze economic, financial, and statistical events mostly disregards the world's essentially chaotic nature. We need to get used to the idea that wildly improbable events are actually part of the natural order. Here, a renowned mathematician and psychologist explains how the wild and mild worlds (which he names Wildovia and Mildovia) coexist, and that different laws...

Excellent basic text covers set theory, probability theory for finite sample spaces, binomial theorem, probability distributions, means, standard deviations, probability function of binomial distribution, and other key concepts and methods essential to a thorough understanding of probability. Designed for use by math or statistics departments offering a first course in probability. 360 illustrative problems with answers for half. Only high school...

Well-written and accessible, this classic introduction to stochastic processes and related mathematics is appropriate for advanced undergraduate students of mathematics with a knowledge of calculus and continuous probability theory. The treatment offers examples of the wide variety of empirical phenomena for which stochastic processes provide mathematical models, and it develops the methods of probability model-building. Chapter 1 presents precise...

This concise monograph in probability by Mark Kac, a well-known mathematician, presumes a familiarity with Lebesgue's theory of measure and integration, the elementary theory of Fourier integrals, and the rudiments of number theory. Readers may then follow Dr. Kac's attempt "to rescue statistical independence from the fate of abstract oblivion by showing how in its simplest form it arises in various contexts cutting across different mathematical disciplines."...

Written in a direct and clear manner, Classic Topics on the History of Modern Mathematical Statistics: From Laplace to More Recent Times presents a comprehensive guide to the history of mathematical statistics and details the major results and crucial developments over a 200-year period. Presented in chronological order, the book features an account of the classical and modern works that are essential to understanding the applications of mathematical...

An irreverent look at how randomness influences our lives, and how our successes and failures are far more dependent on chance events than we recognize.

Our lives are governed by chance. But what, exactly, is chance? In this book, statistician and storyteller Bart K. Holland takes us on a tour of the world of probability. Weaving together tales from real life?from the spread of the bubonic plague in medieval Europe and the number of Prussian cavalrymen kicked to death by their horses, through IQ test results and why you have to wait in line for rides at Disney World? Holland captures probability...

Approximately 1,000 problems - with answers and solutions included at the back of the book - illustrate such topics as random events, random variables, limit theorems, Markov processes, and much more.

Paul J. Nahin is the author of many best-selling popular-math books, including Chases and Escapes, Dr. Euler's Fabulous Formula, When Least is Best, Duelling Idiots and Other Probability Puzzlers, and An Imaginary Tale (all Princeton). He is professor emeritus of electrical engineering at the University of New Hampshire. Some probability problems are so difficult that they stump the smartest mathematicians. But even the hardest of these problems...