Understanding Probability

Chance Rules in Everyday Life
Author: Henk Tijms
Publisher: Cambridge University Press
ISBN: 1139465457
Category: Mathematics
Page: N.A
View: 1155
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In this fully revised second edition of Understanding Probability, the reader can learn about the world of probability in an informal way. The author demystifies the law of large numbers, betting systems, random walks, the bootstrap, rare events, the central limit theorem, the Bayesian approach and more. This second edition has wider coverage, more explanations and examples and exercises, and a new chapter introducing Markov chains, making it a great choice for a first probability course. But its easy-going style makes it just as valuable if you want to learn about the subject on your own, and high school algebra is really all the mathematical background you need.

Understanding Probability and Statistics

A Book of Problems
Author: Ruma Falk
Publisher: A K Peters/CRC Press
ISBN: 9781568810713
Category: Mathematics
Page: 256
View: 8735
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This popular problem collection is now available in paperback to be used for self study and in conjunction with basic courses in probability and statistics. Its strength lies in the originality of the problems which have been extensively tested in teaching by the author and others.

Understand Probability

Little Quick Fix
Author: John MacInnes
Publisher: SAGE
ISBN: 1526460602
Category: Social Science
Page: 108
View: 5155
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The Little Quick Fix to Understanding Probability breaks it down step by step with crystal clear examples and exercises from one of the leading quantitative teachers in the UK. All you need is an hour and you'll finally get it. Once it clicks into place, you can nail that section of your exam. Little Quick Fix titles provide quick but authoritative answers to the problems, hurdles, and assessment points students face in the research course, project proposal, or design—whatever their methods learning is. Lively, ultra-modern design; full-colour, each page a tailored design. An hour's read. Easy to dip in and out of with clear navigation enables the reader to find what she needs—quick. Direct written style gets to the point with clear language. Nothing needs to be read twice. No fluff. Learning is reinforced through a 2-minute overview summary; 3-second summaries with super-quick Q&A DIY tasks create a work plan to accomplish a task, do a self-check quiz, solve a problem, get students to what they need to show their supervisor. Checkpoints in each section make sure students are nailing it as they go and support self-directed learning. How do I know I’m done? Each Little Quick Fix wraps up with a finale checklist that allows the reader to self-assess they’ve got what they need to progress, submit, or ace the test or task.

Understand Probability


Author: IntroBooks
Publisher: IntroBooks
ISBN: 1523945885
Category: Business & Economics
Page: 30
View: 6365
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This booklet will teach you everything you need to know about probability in order to use it to your advantage. We shall start by exploring the very theory of probability and, later on, we shall discuss about the important role it plays in the fields of mathematics and science. Of course, we cannot even begin to think about probability without also considering the statistics and the inductive inferences. Therefore, we shall also approach these matters. Our booklet will take you on a journey that will underline the connection between Logic and Probability. Logic plays a big role in understanding the principles of probability. We are not all great mathematicians, but we have broken down the principles of probability into tiny bits, so that we can be sure all of our readers will benefit from reading our book. Probabilistic models usually imply a generous amount of knowledge of the dialect of science. Which is why, rather than depending on the conventional "hypothesis - confirmation" design, we built up the material in a natural - yet at the same time thorough and scientifically exact way. Besides, while the applications are different and clear, we underline the fundamental ideas and approaches that are generally materialized. Read this guide to uncover the mysteries of probability and learn how to apply them in your line of work, your studies and even your day-to-day activities, in order to get more things done and to fully benefit from your work. ***************************** IntroBooks delivers up to the minute information covering everything on a topic in only one hour of reading. This book is written to give essential information in a straight-to-the-point, easy to read format. We have cut out technical jargon, waffle and unnecessary filler to ensure you get the essential information you need to achieve your goals with confidence.

Wahrscheinlichkeitsrechnung für Dummies


Author: Deborah J. Rumsey
Publisher: John Wiley & Sons
ISBN: 3527805494
Category: Mathematics
Page: 374
View: 1140
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Die Wahrscheinlichkeitsrechnung wird in der Schule oft nur beiläufig behandelt, dabei handelt es sich um ein besonders spannendes und alltagstaugliches Teilgebiet der Mathematik. Für alle, die über dieses Thema noch etwas mehr erfahren wollen oder müssen, erklärt Deborah Rumsey verständlich und mit Humor, was sie unbedingt wissen sollten. Egal ob Kontingenztabelle, zentraler Grenzwertsatz, Stichproben-, Binomial- oder Poissonverteilung, in diesem Buch lernen Sie, was es ist und wie Sie es anwenden. Zu jedem Kapitel finden Sie online eine Übungsaufgabe samt Lösung, um das Gelernte zu festigen. Auch Tipps zu praktischen Anwendungen - ob bei der Arbeit oder am Pokertisch - kommen nicht zu kurz. So finden Sie in diesem Buch alles, was Sie über Wahrscheinlichkeitsrechnung unbedingt wissen sollten.

Understanding and Calculating the Odds

Probability Theory Basics and Calculus Guide for Beginners, with Applications in Games of Chance and Everyday Life
Author: Catalin Barboianu
Publisher: INFAROM Publishing
ISBN: 9738752019
Category: Games
Page: 420
View: 2846
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This book presents not only the mathematical concept of probability, but also its philosophical aspects, the relativity of probability and its applications and even the psychology of probability. All explanations are made in a comprehensible manner and are supported with suggestive examples from nature and daily life, and even with challenging math paradoxes. (Mathematics)

Exploring Probability in School

Challenges for Teaching and Learning
Author: Graham A. Jones
Publisher: Springer Science & Business Media
ISBN: 0387245308
Category: Education
Page: 390
View: 7086
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Exploring Probability in School provides a new perspective into research on the teaching and learning of probability. It creates this perspective by recognizing and analysing the special challenges faced by teachers and learners in contemporary classrooms where probability has recently become a mainstream part of the curriculum from early childhood through high school. The authors of the book discuss the nature of probability, look at the meaning of probabilistic literacy, and examine student access to powerful ideas in probability during the elementary, middle, and high school years. Moreover, they assemble and analyse research-based pedagogical knowledge for teachers that can enhance the learning of probability throughout these school years. With the book’s rich application of probability research to classroom practice, it will not only be essential reading for researchers and graduate students involved in probability education; it will also capture the interest of educational policy makers, curriculum personnel, teacher educators, and teachers.

A Modern Introduction to Probability and Statistics

Understanding Why and How
Author: F.M. Dekking,C. Kraaikamp,H.P. Lopuhaä,L.E. Meester
Publisher: Springer Science & Business Media
ISBN: 1846281687
Category: Mathematics
Page: 488
View: 9297
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Suitable for self study Use real examples and real data sets that will be familiar to the audience Introduction to the bootstrap is included – this is a modern method missing in many other books

Statistik-Workshop für Programmierer


Author: Allen B. Downey
Publisher: O'Reilly Germany
ISBN: 3868993436
Category: Computers
Page: 160
View: 9446
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Wenn Sie programmieren können, beherrschen Sie bereits Techniken, um aus Daten Wissen zu extrahieren. Diese kompakte Einführung in die Statistik zeigt Ihnen, wie Sie rechnergestützt, anstatt auf mathematischem Weg Datenanalysen mit Python durchführen können. Praktischer Programmier-Workshop statt grauer Theorie: Das Buch führt Sie anhand eines durchgängigen Fallbeispiels durch eine vollständige Datenanalyse -- von der Datensammlung über die Berechnung statistischer Kennwerte und Identifikation von Mustern bis hin zum Testen statistischer Hypothesen. Gleichzeitig werden Sie mit statistischen Verteilungen, den Regeln der Wahrscheinlichkeitsrechnung, Visualisierungsmöglichkeiten und vielen anderen Arbeitstechniken und Konzepten vertraut gemacht. Statistik-Konzepte zum Ausprobieren: Entwickeln Sie über das Schreiben und Testen von Code ein Verständnis für die Grundlagen von Wahrscheinlichkeitsrechnung und Statistik: Überprüfen Sie das Verhalten statistischer Merkmale durch Zufallsexperimente, zum Beispiel indem Sie Stichproben aus unterschiedlichen Verteilungen ziehen. Nutzen Sie Simulationen, um Konzepte zu verstehen, die auf mathematischem Weg nur schwer zugänglich sind. Lernen Sie etwas über Themen, die in Einführungen üblicherweise nicht vermittelt werden, beispielsweise über die Bayessche Schätzung. Nutzen Sie Python zur Bereinigung und Aufbereitung von Rohdaten aus nahezu beliebigen Quellen. Beantworten Sie mit den Mitteln der Inferenzstatistik Fragestellungen zu realen Daten.

Chance Encounters: Probability in Education


Author: R. Kapadia,M. Borovcnik
Publisher: Springer Science & Business Media
ISBN: 9401135320
Category: Education
Page: 267
View: 7173
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This book has been written to fIll a substantial gap in the current literature in mathemat ical education. Throughout the world, school mathematical curricula have incorporated probability and statistics as new topics. There have been many research papers written on specifIc aspects of teaching, presenting novel and unusual approaches to introducing ideas in the classroom; however, there has been no book giving an overview. Here we have decided to focus on probability, making reference to inferential statistics where appropriate; we have deliberately avoided descriptive statistics as it is a separate area and would have made ideas less coherent and the book excessively long. A general lead has been taken from the fIrst book in this series written by the man who, probably more than everyone else, has established mathematical education as an aca demic discipline. However, in his exposition of didactical phenomenology, Freudenthal does not analyze probability. Thus, in this book, we show how probability is able to organize the world of chance and idealized chance phenomena based on its development and applications. In preparing these chapters we and our co-authors have reflected on our own acquisition of probabilistic ideas, analyzed textbooks, and observed and reflect ed upon the learning processes involved when children and adults struggle to acquire the relevant concepts.

Bigger than Chaos

Understanding Complexity through Probability
Author: Michael Strevens
Publisher: Harvard University Press
ISBN: 0674044061
Category: Science
Page: 432
View: 6670
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Probability and Stochastic Processes


Author: Ionut Florescu
Publisher: John Wiley & Sons
ISBN: 1118593138
Category: Mathematics
Page: 576
View: 6070
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A comprehensive and accessible presentation of probabilityand stochastic processes with emphasis on key theoretical conceptsand real-world applications With a sophisticated approach, Probability and StochasticProcesses successfully balances theory and applications in apedagogical and accessible format. The book’s primary focusis on key theoretical notions in probability to provide afoundation for understanding concepts and examples related tostochastic processes. Organized into two main sections, the book begins by developingprobability theory with topical coverage on probability measure;random variables; integration theory; product spaces, conditionaldistribution, and conditional expectations; and limit theorems. Thesecond part explores stochastic processes and related conceptsincluding the Poisson process, renewal processes, Markov chains,semi-Markov processes, martingales, and Brownian motion. Featuringa logical combination of traditional and complex theories as wellas practices, Probability and Stochastic Processes alsoincludes: Multiple examples from disciplines such as business,mathematical finance, and engineering Chapter-by-chapter exercises and examples to allow readers totest their comprehension of the presented material A rigorous treatment of all probability and stochasticprocesses concepts An appropriate textbook for probability and stochastic processescourses at the upper-undergraduate and graduate level inmathematics, business, and electrical engineering, Probabilityand Stochastic Processes is also an ideal reference forresearchers and practitioners in the fields of mathematics,engineering, and finance.

Analysis and Probability


Author: Aurel Spataru
Publisher: Newnes
ISBN: 0124017274
Category: Mathematics
Page: 404
View: 3859
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Probability theory is a rapidly expanding field and is used in many areas of science and technology. Beginning from a basis of abstract analysis, this mathematics book develops the knowledge needed for advanced students to develop a complex understanding of probability. The first part of the book systematically presents concepts and results from analysis before embarking on the study of probability theory. The initial section will also be useful for those interested in topology, measure theory, real analysis and functional analysis. The second part of the book presents the concepts, methodology and fundamental results of probability theory. Exercises are included throughout the text, not just at the end, to teach each concept fully as it is explained, including presentations of interesting extensions of the theory. The complete and detailed nature of the book makes it ideal as a reference book or for self-study in probability and related fields. Covers a wide range of subjects including f-expansions, Fuk-Nagaev inequalities and Markov triples. Provides multiple clearly worked exercises with complete proofs. Guides readers through examples so they can understand and write research papers independently.

Project Manager Street Smarts

A Real World Guide to PMP Skills
Author: Terri Wagner,Linda Kretz Zaval
Publisher: John Wiley & Sons
ISBN: 9780470596104
Category: Computers
Page: 408
View: 1781
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Hands-on practice for the most common-and most difficult-project management tasks Breaking into the field of project management is difficult, and the Project Management Institute requires that Project Management Professionals (PMPs) have on-the-job experience before earning their certification. This handy, task-based resource addresses the most common and the most challenging tasks Project Managers face and demonstrates how to perform these tasks. The Street Smarts series is designed to help current or aspiring professionals put their certification to work for them. Full of practical, real world scenarios, each book features actual tasks from the field and then offers step-by-step exercises that teach the skills necessary to complete those tasks. Aimed at anyone looking to gain hands-on experience in the field of project management by offering a unique look at the daily routine of a project manager Offers a variety of real-world scenarios, covering everything from the most common tasks to the most demanding roadblocks Walks you through step-by-step instructions of working with a project: initiating, planning, executing, monitoring and controlling, and closing Demonstrates defining a scope, developing a project charter, creating the work breakdown structure, managing resource allocation, and more Designed to provide you with an accurate look into the field of project management, this book offers you a unique and insightful perspective on the demands of a project manager on a day-to-day basis.

Introduction to Probability with R


Author: Kenneth Baclawski
Publisher: CRC Press
ISBN: 9781420065220
Category: Mathematics
Page: 384
View: 983
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Based on a popular course taught by the late Gian-Carlo Rota of MIT, with many new topics covered as well, Introduction to Probability with R presents R programs and animations to provide an intuitive yet rigorous understanding of how to model natural phenomena from a probabilistic point of view. Although the R programs are small in length, they are just as sophisticated and powerful as longer programs in other languages. This brevity makes it easy for students to become proficient in R. This calculus-based introduction organizes the material around key themes. One of the most important themes centers on viewing probability as a way to look at the world, helping students think and reason probabilistically. The text also shows how to combine and link stochastic processes to form more complex processes that are better models of natural phenomena. In addition, it presents a unified treatment of transforms, such as Laplace, Fourier, and z; the foundations of fundamental stochastic processes using entropy and information; and an introduction to Markov chains from various viewpoints. Each chapter includes a short biographical note about a contributor to probability theory, exercises, and selected answers. The book has an accompanying website with more information.

Keeping Up with the Quants

Your Guide to Understanding and Using Analytics
Author: Thomas H. Davenport,Jinho Kim
Publisher: Harvard Business Press
ISBN: 1422187268
Category: Business & Economics
Page: 240
View: 9328
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Why Everyone Needs Analytical Skills Welcome to the age of data. No matter your interests (sports, movies, politics), your industry (finance, marketing, technology, manufacturing), or the type of organization you work for (big company, nonprofit, small start-up)—your world is awash with data. As a successful manager today, you must be able to make sense of all this information. You need to be conversant with analytical terminology and methods and able to work with quantitative information. This book promises to become your “quantitative literacy" guide—helping you develop the analytical skills you need right now in order to summarize data, find the meaning in it, and extract its value. In Keeping Up with the Quants, authors, professors, and analytics experts Thomas Davenport and Jinho Kim offer practical tools to improve your understanding of data analytics and enhance your thinking and decision making. You’ll gain crucial skills, including: • How to formulate a hypothesis • How to gather and analyze relevant data • How to interpret and communicate analytical results • How to develop habits of quantitative thinking • How to deal effectively with the “quants” in your organization Big data and the analytics based on it promise to change virtually every industry and business function over the next decade. If you don’t have a business degree or if you aren’t comfortable with statistics and quantitative methods, this book is for you. Keeping Up with the Quants will give you the skills you need to master this new challenge—and gain a significant competitive edge.

The Little Purple Probability Book

Master the Thinking Skills to Succeed in Basic Probability
Author: Brandon Royal
Publisher: Maven Publishing
ISBN: 1897393679
Category: Mathematics
Page: 48
View: 7944
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Fine-tune your numerical mindset with a quantitative review that serves as a tool for perceiving probability in a new way. Whether you’re a high school student, college student, or a test-prep candidate, this book’s wealth of explanations and insights makes it a perfect learning companion. Enjoy the benefits of your own short course in probability: •Be able to think conceptually by understanding how key problems “fit” within the main topics of probability, permutations, combinations, and enumerations. *Master basic probability using a simple “flowchart” to identify the correct formulas. *Understand when to “add” probabilities and when to “multiply” probabilities. *Be able to distinguish between events that are independent versus not independent and events that are mutually exclusive versus not mutually exclusive. *Grasp key differences between permutations and combinations and look for key words such as “arrangements” or “selections” to indicate the correct problem type. *Solve tricky permutation problems that involve repeated letters or numbers. *Approach probability problems with a newfound confidence and competency. This book is focused on honing those thinking skills that are essential for mastering basic probability. Such thinking skills make it much more likely that a person will be able to understand the “how” and “why” of problem solving, approach the subject in a conceptual way, and grasp those key principles that act as themes to bind related problems. These skills combine the science of math with the art of numbers. “To get started in probability theory, all you need are a few basic principles. Here they are, clear and uncluttered, in a short, simple book that comes as a welcome breath of fresh air.” —Dr. Ian Stewart, author of 17 Equations That Changed the World and the Cabinet of Mathematical Curiosities

Nomic Probability and the Foundations of Induction


Author: John L. Pollock
Publisher: Oxford University Press
ISBN: 9780195345216
Category: Mathematics
Page: 368
View: 4057
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In this book Pollock deals with the subject of probabilistic reasoning, making general philosophical sense of objective probabilities and exploring their relationship to the problem of induction. He argues that probability is fundamental not only to physical science, but to induction, epistemology, the philosophy of science and much of the reasoning relevant to artificial intelligence. Pollock's main claim is that the fundamental notion of probability is nomic--that is, it involves the notion of natural law, valid across possible worlds. The various epistemic and statistical conceptions of probability, he demonstrates, are derived from this nomic notion. He goes on to provide a theory of statistical induction, an account of computational principles allowing some probabilities to be derived from others, an account of acceptance rules, and a theory of direct inference.