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While most mathematical examples illustrate the truth of a statement, counterexamples demonstrate a statement's falsity. Enjoyable topics of study, counterexamples are valuable tools for teaching and learning. The definitive book on the subject in regards to probability, this third edition features the author's revisions and corrections plus a substantial new appendix.
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Chance continues to govern our lives in the 21st Century. From the genes we inherit and the environment into which we are born, to the lottery ticket we buy at the local store, much of life is a gamble. In business, education, travel, health, and marriage, we take chances in the hope of obtaining something better. Chance colors our lives with uncertainty, and so it is important to examine it and try to understand about how it operates in a number...
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This book is an integrated work published in two volumes. The first volume treats the basic Markov process and its variants; the second, semi-Markov and decision processes. Its intent is to equip readers to formulate, analyze, and evaluate simple and advanced Markov models of systems, ranging from genetics and space engineering to marketing. More than a collection of techniques, it constitutes a guide to the consistent application of the fundamental...
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Universally acknowledged as the classic text about statistics of extremes, this volume is geared toward use by statisticians and statistically minded scientists and engineers. It employs elementary terms to explain applications, favors graphical procedures over calculations, and presents simple generalizations as exercises - all of which contribute to its value for students. Starting with definitions of its aims and tools, the text proceeds to discussions...
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This clear exposition begins with basic concepts and moves on to combination of events, dependent events and random variables, Bernoulli trials and the De Moivre-Laplace theorem, a detailed treatment of Markov chains, continuous Markov processes, and more. Includes 150 problems, many with answers. Indispensable to mathematicians and natural scientists alike.
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This well-known and highly respected introduction to decision theory was developed at Stanford University. It furnishes a simple and clear-cut method of exhibiting the fundamental aspects of statistical problems. Beginners will find this treatment a motivating introduction to important mathematical notions such as set, function, and convexity.
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First integrated treatment of main ideas behind René Thom's theory of catastrophes stresses detailed applications in the physical sciences. Mathematics of theory explained with a minimum of technicalities. Over 200 illustrations clarify text designed for researchers and postgraduate students in engineering, mathematics, physics and biology. Bibliography.
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Diana C. Mutz is the Samuel A. Stouffer Professor of Political Science and Communication at the University of Pennsylvania. She is a member of the National Academy of Sciences.
Population-based survey experiments have become an invaluable tool for social scientists struggling to generalize laboratory-based results, and for survey researchers besieged by uncertainties about causality. Thanks to technological advances in recent years, experiments...
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Among probability theorists, a bitter controversy has raged for decades between the adherents of John Maynard Keynes' A Treatise on Probability (1921) and those of Richard von Mises' "Grundlagen der Wahrscheinlichkeitsrechnung" (1919). Keynes declared that probabilities measure the extent to which a so-called evidence proposition supports another sentence. Von Mises insisted that they measure the relative frequency with which the members of a so-called...
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This comprehensive text covers both applied and theoretical branches of matrix algebra in the statistical sciences. It also provides a bridge between linear algebra and statistical models. Appropriate for advanced undergraduate and graduate students, the self-contained treatment also constitutes a handy reference for researchers. The only mathematical background necessary is a sound knowledge of high school mathematics and a first course in statistics....
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Your correlation results are probably wrong. Sorry, but they are.
You see, there is one really important thing to know about your correlations that mean that whatever results you get you can't be sure they are correct.
This book fixes that.
Correlation is a way of describing how a pair of variables change together as a result of their connection. In other words, if one of your variables changes, the other is likely to change too, and correlations...
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This introduction to the world of statistics draws examples from a broad range of applications, including business, government, medicine, social sciences, biology, and everyday life. The first four chapters present a brief course in exploratory data analysis. The authors place special emphasis on methods for collecting data and offer an elementary treatment of multiple regression. A concluding chapter on the design of comparative experiments links...
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Paul J. Nahin is professor emeritus of electrical engineering at the University of New Hampshire. He is the best-selling author of many popular-math books, including Duelling Idiots and Other Probability Puzzlers, The Logician and the Engineer, Number-Crunching, Mrs. Perkins's Electric Quilt, and An Imaginary Tale (all Princeton).
A collection of stimulating probability puzzles from bestselling math writer Paul Nahin
What are the chances of a game-show...
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Español
Description
Desde la antigüedad, el ser humano ha tratado de asimilar y cuantificar los fenómenos aleatorios, surgiendo distintas concepciones sobre el azar y lo probable; también por miles de años, el hombre ha realizado actividades asociadas con la recolección, organización e interpretación de información, las cuales paulatinamente fueron abordadas por la estadística. Tanto la probabilidad como la estadística se han constituido en herramientas de...
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This introduction to probability theory transforms a highly abstract subject into a series of coherent concepts. Its extensive discussions and clear examples, written in plain language, expose students to the rules and methods of probability. Suitable for an introductory probability course, this volume requires abstract and conceptual thinking skills and a background in calculus. Topics include classical probability, set theory, axioms, probability...
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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."...
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Français
Description
Les probabilités font partie de la vie du citoyen du XXIe siècle, et ce, dans divers contextes et domains, en santé pour la sélection d'un traitement, en gestion pour le choix d'un investissement, etc. Dans le milieu scolaire, il est donc impératif de développer une pensée probabiliste permettant la prise de décisions éclairées en moment d'incertitude, la modélisation des situations aléatoires et la compréhension de la notion de risque....
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Get the Summary of Steven D. Levitt & Stephen J. Dubner's Freakonomics in 20 minutes. Please note: This is a summary & not the original book.
Original book introduction: Which is more dangerous, a gun or a swimming pool? What do schoolteachers and sumo wrestlers have in common? Why do drug dealers still live with their moms? How much do parents really matter? How did the legalization of abortion affect the rate of violent crime?
These may not sound...
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Statistics has been derived from the Latin word 'status, an Italian word 'statist' or a German word 'Statistic', all of which means a 'political state'. The use of statistics has been employed in various fields like biostatics, agriculture, economics, sociology, business management etc.
The field of statistics is not afresh, and its beginning can be dated back to the times of the beginning of the human activities. However, the utilization of statistics...
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