Introduction To Probability

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Introduction to Probability

Introduction to Probability Pdf/ePub eBook Author:
Editor: CRC Press
ISBN: 146657559X
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Introduction to Probability by Summary

Developed from celebrated Harvard statistics lectures, Introduction to Probability provides essential language and tools for understanding statistics, randomness, and uncertainty. The book explores a wide variety of applications and examples, ranging from coincidences and paradoxes to Google PageRank and Markov chain Monte Carlo (MCMC). Additional application areas explored include genetics, medicine, computer science, and information theory. The print book version includes a code that provides free access to an eBook version. The authors present the material in an accessible style and motivate concepts using real-world examples. Throughout, they use stories to uncover connections between the fundamental distributions in statistics and conditioning to reduce complicated problems to manageable pieces. The book includes many intuitive explanations, diagrams, and practice problems. Each chapter ends with a section showing how to perform relevant simulations and calculations in R, a free statistical software environment.

Introduction to Probability

Introduction to Probability Pdf/ePub eBook Author: George G. Roussas
Editor: Academic Press
ISBN: 0128001984
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Introduction to Probability by George G. Roussas Summary

Introduction to Probability, Second Edition, discusses probability theory in a mathematically rigorous, yet accessible way. This one-semester basic probability textbook explains important concepts of probability while providing useful exercises and examples of real world applications for students to consider. This edition demonstrates the applicability of probability to many human activities with examples and illustrations. After introducing fundamental probability concepts, the book proceeds to topics including conditional probability and independence; numerical characteristics of a random variable; special distributions; joint probability density function of two random variables and related quantities; joint moment generating function, covariance and correlation coefficient of two random variables; transformation of random variables; the Weak Law of Large Numbers; the Central Limit Theorem; and statistical inference. Each section provides relevant proofs, followed by exercises and useful hints. Answers to even-numbered exercises are given and detailed answers to all exercises are available to instructors on the book companion site. This book will be of interest to upper level undergraduate students and graduate level students in statistics, mathematics, engineering, computer science, operations research, actuarial science, biological sciences, economics, physics, and some of the social sciences. Demonstrates the applicability of probability to many human activities with examples and illustrations Discusses probability theory in a mathematically rigorous, yet accessible way Each section provides relevant proofs, and is followed by exercises and useful hints Answers to even-numbered exercises are provided and detailed answers to all exercises are available to instructors on the book companion site

Introduction to Probability

Introduction to Probability Pdf/ePub eBook Author: John B. Thomas
Editor: Springer Science & Business Media
ISBN: 1461386586
FileSize: 411kb
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Introduction to Probability by John B. Thomas Summary

This book was written for an introductory one-term course in probability. It is intended to provide the minimum background in probability that is necessary for students interested in applications to engineering and the sciences. Although it is aimed primarily at upperclassmen and beginning graduate students, the only prere quisite is the standard calculus course usually required of under graduates in engineering and science. Most beginning students will have some intuitive notions of the meaning of probability based on experiences involving, for example, games of chance. This book develops from these notions a set of precise and ordered concepts comprising the elementary theory of probability. An attempt has been made to state theorems carefully, but the level of the proofs varies greatly from formal arguments to appeals to intuition. The book is in no way intended as a substi tu te for a rigorous mathematical treatment of probability. How ever, some small amount of the language of formal mathematics is used, so that the student may become better prepared (at least psychologically) either for more formal courses or for study of the literature. Numerous examples are provided throughout the book. Many of these are of an elementary nature and are intended merely to illustrate textual material. A reasonable number of problems of varying difficulty are provided. Instructors who adopt the text for classroom use may obtain a Solutions Manual for all of the problems by writing to the author.

Introduction to Probability with Statistical Applications

Introduction to Probability with Statistical Applications Pdf/ePub eBook Author: Géza Schay
Editor: Birkhäuser
ISBN: 3319306200
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Introduction to Probability with Statistical Applications by Géza Schay Summary

Now in its second edition, this textbook serves as an introduction to probability and statistics for non-mathematics majors who do not need the exhaustive detail and mathematical depth provided in more comprehensive treatments of the subject. The presentation covers the mathematical laws of random phenomena, including discrete and continuous random variables, expectation and variance, and common probability distributions such as the binomial, Poisson, and normal distributions. More classical examples such as Montmort's problem, the ballot problem, and Bertrand’s paradox are now included, along with applications such as the Maxwell-Boltzmann and Bose-Einstein distributions in physics. Key features in new edition: * 35 new exercises * Expanded section on the algebra of sets * Expanded chapters on probabilities to include more classical examples * New section on regression * Online instructors' manual containing solutions to all exercises“/p> Advanced undergraduate and graduate students in computer science, engineering, and other natural and social sciences with only a basic background in calculus will benefit from this introductory text balancing theory with applications. Review of the first edition: This textbook is a classical and well-written introduction to probability theory and statistics. ... the book is written ‘for an audience such as computer science students, whose mathematical background is not very strong and who do not need the detail and mathematical depth of similar books written for mathematics or statistics majors.’ ... Each new concept is clearly explained and is followed by many detailed examples. ... numerous examples of calculations are given and proofs are well-detailed." (Sophie Lemaire, Mathematical Reviews, Issue 2008 m)

Introduction to Probability, Second Edition

Introduction to Probability, Second Edition Pdf/ePub eBook Author: Joseph K. Blitzstein,Jessica Hwang
Editor: CRC Press
ISBN: 0429766742
FileSize: 1431kb
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Introduction to Probability, Second Edition by Joseph K. Blitzstein,Jessica Hwang Summary

Developed from celebrated Harvard statistics lectures, Introduction to Probability provides essential language and tools for understanding statistics, randomness, and uncertainty. The book explores a wide variety of applications and examples, ranging from coincidences and paradoxes to Google PageRank and Markov chain Monte Carlo (MCMC). Additional application areas explored include genetics, medicine, computer science, and information theory. The authors present the material in an accessible style and motivate concepts using real-world examples. Throughout, they use stories to uncover connections between the fundamental distributions in statistics and conditioning to reduce complicated problems to manageable pieces. The book includes many intuitive explanations, diagrams, and practice problems. Each chapter ends with a section showing how to perform relevant simulations and calculations in R, a free statistical software environment. The second edition adds many new examples, exercises, and explanations, to deepen understanding of the ideas, clarify subtle concepts, and respond to feedback from many students and readers. New supplementary online resources have been developed, including animations and interactive visualizations, and the book has been updated to dovetail with these resources. Supplementary material is available on Joseph Blitzstein’s website www. stat110.net. The supplements include: Solutions to selected exercises Additional practice problems Handouts including review material and sample exams Animations and interactive visualizations created in connection with the edX online version of Stat 110. Links to lecture videos available on ITunes U and YouTube There is also a complete instructor's solutions manual available to instructors who require the book for a course.

An Introduction to Probability and Statistics Using Basic

An Introduction to Probability and Statistics Using Basic Pdf/ePub eBook Author: Richard A. Groeneveld
Editor: CRC Press
ISBN: 1000110427
FileSize: 1984kb
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An Introduction to Probability and Statistics Using Basic by Richard A. Groeneveld Summary

This volume introduces the theoretical ideas in probability and statistics by means of examples. The strengths of the BASIC computer language are exploited to illustrate probabilistic and statistical ideas. Topics described by the Committee on the Under-graduate Program in Mathematics are included.

Introduction to Probability

Introduction to Probability Pdf/ePub eBook Author: John E. Freund
Editor: Courier Corporation
ISBN: 0486158438
FileSize: 344kb
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Introduction to Probability by John E. Freund Summary

Featured topics include permutations and factorials, probabilities and odds, frequency interpretation, mathematical expectation, decision making, postulates of probability, rule of elimination, much more. Exercises with some solutions. Summary. 1973 edition.

An Introduction to Probability and Statistics

An Introduction to Probability and Statistics Pdf/ePub eBook Author: Vijay K. Rohatgi,A.K. Md. Ehsanes Saleh
Editor: John Wiley & Sons
ISBN: 1118799682
FileSize: 1384kb
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An Introduction to Probability and Statistics by Vijay K. Rohatgi,A.K. Md. Ehsanes Saleh Summary

A well-balanced introduction to probability theory and mathematical statistics Featuring updated material, An Introduction to Probability and Statistics, Third Edition remains a solid overview to probability theory and mathematical statistics. Divided intothree parts, the Third Edition begins by presenting the fundamentals and foundationsof probability. The second part addresses statistical inference, and the remainingchapters focus on special topics. An Introduction to Probability and Statistics, Third Edition includes: A new section on regression analysis to include multiple regression, logistic regression, and Poisson regression A reorganized chapter on large sample theory to emphasize the growing role of asymptotic statistics Additional topical coverage on bootstrapping, estimation procedures, and resampling Discussions on invariance, ancillary statistics, conjugate prior distributions, and invariant confidence intervals Over 550 problems and answers to most problems, as well as 350 worked out examples and 200 remarks Numerous figures to further illustrate examples and proofs throughout An Introduction to Probability and Statistics, Third Edition is an ideal reference and resource for scientists and engineers in the fields of statistics, mathematics, physics, industrial management, and engineering. The book is also an excellent text for upper-undergraduate and graduate-level students majoring in probability and statistics.

An Introduction to Probability and Statistics

An Introduction to Probability and Statistics Pdf/ePub eBook Author: Dr. Arun Kaushik & Dr. Rajwant K. Singh
Editor: K.K. Publications
ISBN:
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An Introduction to Probability and Statistics by Dr. Arun Kaushik & Dr. Rajwant K. Singh Summary

An Introduction to Probability and Statistics An Introduction to Probability and Statistics, First Edition, guides the readers through basic probability and statistical methods along with graphs and tables and helps to analyse critically about various basic concepts. Written by two friends i.e. Dr. Arun Kaushik and Dr. Rajwant K. Singh, this book introduces readers with no or very little prior knowledge in probability or statistics to a thinking process to help them obtain the best solution to a posed situation. It provides lots of examples for each topic discussed, and examples are covered from the medical field giving the reader more exposure in applying statistical methods to different situations. This text contains an enhanced number of exercises and graphical illustrations to motivate the readers and demonstrate the applicability of probability and statistical inference in a vast variety of human activities. Each section includes relevant proofs where ever need arises, followed by exercises with some useful clues to their solutions. Furthermore, if the need arises then the detailed solutions to all exercises will be provided in near future in an Answers Manual. This text will appeal to advanced undergraduate and graduate students, as well as researchers and practitioners in engineering, medical sciences, business, social sciences or agriculture. The material discussed in this book is enough for undergraduate and graduate courses. It consists of 5 chapters. Chapter 1 is devoted to the basic concept of probability. Chapters 2 and 3 deal with the concept of a random variable and its distribution and related topics. Chapters 4 and 5 presents an overview of statistical inference, discuss the standard topics of parametric statistical inference, namely, point estimation, interval estimation and testing hypotheses.

Introduction to Probability and Statistics for Engineers

Introduction to Probability and Statistics for Engineers Pdf/ePub eBook Author: Milan Holický
Editor: Springer Science & Business Media
ISBN: 3642383009
FileSize: 954kb
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Introduction to Probability and Statistics for Engineers by Milan Holický Summary

The theory of probability and mathematical statistics is becoming an indispensable discipline in many branches of science and engineering. This is caused by increasing significance of various uncertainties affecting performance of complex technological systems. Fundamental concepts and procedures used in analysis of these systems are often based on the theory of probability and mathematical statistics. The book sets out fundamental principles of the probability theory, supplemented by theoretical models of random variables, evaluation of experimental data, sampling theory, distribution updating and tests of statistical hypotheses. Basic concepts of Bayesian approach to probability and two-dimensional random variables, are also covered. Examples of reliability analysis and risk assessment of technological systems are used throughout the book to illustrate basic theoretical concepts and their applications. The primary audience for the book includes undergraduate and graduate students of science and engineering, scientific workers and engineers and specialists in the field of reliability analysis and risk assessment. Except basic knowledge of undergraduate mathematics no special prerequisite is required.

Introduction to Probability.

Introduction to Probability. Pdf/ePub eBook Author: N. Balakrishnan,Markos V. Koutras,Konstadinos G. Politis
Editor: John Wiley & Sons
ISBN: 1118548493
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Introduction to Probability. by N. Balakrishnan,Markos V. Koutras,Konstadinos G. Politis Summary

An essential guide to the concepts of probability theory that puts the focus on models and applications Introduction to Probability offers an authoritative text that presents the main ideas and concepts, as well as the theoretical background, models, and applications of probability. The authors—noted experts in the field—include a review of problems where probabilistic models naturally arise, and discuss the methodology to tackle these problems. A wide-range of topics are covered that include the concepts of probability and conditional probability, univariate discrete distributions, univariate continuous distributions, along with a detailed presentation of the most important probability distributions used in practice, with their main properties and applications. Designed as a useful guide, the text contains theory of probability, de finitions, charts, examples with solutions, illustrations, self-assessment exercises, computational exercises, problems and a glossary. This important text: • Includes classroom-tested problems and solutions to probability exercises • Highlights real-world exercises designed to make clear the concepts presented • Uses Mathematica software to illustrate the text’s computer exercises • Features applications representing worldwide situations and processes • Offers two types of self-assessment exercises at the end of each chapter, so that students may review the material in that chapter and monitor their progress. Written for students majoring in statistics, engineering, operations research, computer science, physics, and mathematics, Introduction to Probability: Models and Applications is an accessible text that explores the basic concepts of probability and includes detailed information on models and applications.

An Introduction to Probability and Stochastic Processes

An Introduction to Probability and Stochastic Processes Pdf/ePub eBook Author: James L. Melsa,Andrew P. Sage
Editor: Courier Corporation
ISBN: 0486315959
FileSize: 643kb
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An Introduction to Probability and Stochastic Processes by James L. Melsa,Andrew P. Sage Summary

Detailed coverage of probability theory, random variables and their functions, stochastic processes, linear system response to stochastic processes, Gaussian and Markov processes, and stochastic differential equations. 1973 edition.

Introduction to Probability and Statistics for Engineers and Scientists

Introduction to Probability and Statistics for Engineers and Scientists Pdf/ePub eBook Author: Sheldon M. Ross
Editor: Academic Press
ISBN: 0128177470
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Introduction to Probability and Statistics for Engineers and Scientists by Sheldon M. Ross Summary

Introduction to Probability and Statistics for Engineers and Scientists, Sixth Edition, uniquely emphasizes how probability informs statistical problems, thus helping readers develop an intuitive understanding of the statistical procedures commonly used by practicing engineers and scientists. Utilizing real data from actual studies across life science, engineering, computing and business, this useful introduction supports reader comprehension through a wide variety of exercises and examples. End-of-chapter reviews of materials highlight key ideas, also discussing the risks associated with the practical application of each material. In the new edition, coverage includes information on Big Data and the use of R. This book is intended for upper level undergraduate and graduate students taking a probability and statistics course in engineering programs as well as those across the biological, physical and computer science departments. It is also appropriate for scientists, engineers and other professionals seeking a reference of foundational content and application to these fields. Provides the author’s uniquely accessible and engaging approach as tailored for the needs of Engineers and Scientists Features examples that use significant real data from actual studies across life science, engineering, computing and business Includes new coverage to support the use of R Offers new chapters on big data techniques

A Modern Introduction to Probability and Statistics

A Modern Introduction to Probability and Statistics Pdf/ePub eBook Author: F.M. Dekking,C. Kraaikamp,H.P. Lopuhaä,L.E. Meester
Editor: Springer Science & Business Media
ISBN: 1846281687
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A Modern Introduction to Probability and Statistics by F.M. Dekking,C. Kraaikamp,H.P. Lopuhaä,L.E. Meester Summary

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

Introduction to Probability Models

Introduction to Probability Models Pdf/ePub eBook Author: Sheldon M. Ross
Editor: Academic Press
ISBN: 9780123756879
FileSize: 1919kb
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Introduction to Probability Models by Sheldon M. Ross Summary

Introduction to Probability Models, Tenth Edition, provides an introduction to elementary probability theory and stochastic processes. There are two approaches to the study of probability theory. One is heuristic and nonrigorous, and attempts to develop in students an intuitive feel for the subject that enables him or her to think probabilistically. The other approach attempts a rigorous development of probability by using the tools of measure theory. The first approach is employed in this text. The book begins by introducing basic concepts of probability theory, such as the random variable, conditional probability, and conditional expectation. This is followed by discussions of stochastic processes, including Markov chains and Poison processes. The remaining chapters cover queuing, reliability theory, Brownian motion, and simulation. Many examples are worked out throughout the text, along with exercises to be solved by students. This book will be particularly useful to those interested in learning how probability theory can be applied to the study of phenomena in fields such as engineering, computer science, management science, the physical and social sciences, and operations research. Ideally, this text would be used in a one-year course in probability models, or a one-semester course in introductory probability theory or a course in elementary stochastic processes. New to this Edition: 65% new chapter material including coverage of finite capacity queues, insurance risk models and Markov chains Contains compulsory material for new Exam 3 of the Society of Actuaries containing several sections in the new exams Updated data, and a list of commonly used notations and equations, a robust ancillary package, including a ISM, SSM, and test bank Includes SPSS PASW Modeler and SAS JMP software packages which are widely used in the field Hallmark features: Superior writing style Excellent exercises and examples covering the wide breadth of coverage of probability topics Real-world applications in engineering, science, business and economics

Introduction to Probability Models

Introduction to Probability Models Pdf/ePub eBook Author: Sheldon M. Ross
Editor: Academic Press
ISBN: 0128143479
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Introduction to Probability Models by Sheldon M. Ross Summary

Introduction to Probability Models, Twelfth Edition, is the latest version of Sheldon Ross's classic bestseller. This trusted book introduces the reader to elementary probability modelling and stochastic processes and shows how probability theory can be applied in fields such as engineering, computer science, management science, the physical and social sciences and operations research. The hallmark features of this text have been retained in this edition, including a superior writing style and excellent exercises and examples covering the wide breadth of coverage of probability topics. In addition, many real-world applications in engineering, science, business and economics are included. Retains the valuable organization and trusted coverage that students and professors have relied on since 1972 Includes new coverage on coupling methods, renewal theory, queueing theory, and a new derivation of Poisson process Offers updated examples and exercises throughout, along with required material for Exam 3 of the Society of Actuaries

An Introduction to Probability and Statistical Inference

An Introduction to Probability and Statistical Inference Pdf/ePub eBook Author: George G. Roussas
Editor: Academic Press
ISBN: 0128004371
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An Introduction to Probability and Statistical Inference by George G. Roussas Summary

An Introduction to Probability and Statistical Inference, Second Edition, guides you through probability models and statistical methods and helps you to think critically about various concepts. Written by award-winning author George Roussas, this book introduces readers with no prior knowledge in probability or statistics to a thinking process to help them obtain the best solution to a posed question or situation. It provides a plethora of examples for each topic discussed, giving the reader more experience in applying statistical methods to different situations. This text contains an enhanced number of exercises and graphical illustrations where appropriate to motivate the reader and demonstrate the applicability of probability and statistical inference in a great variety of human activities. Reorganized material is included in the statistical portion of the book to ensure continuity and enhance understanding. Each section includes relevant proofs where appropriate, followed by exercises with useful clues to their solutions. Furthermore, there are brief answers to even-numbered exercises at the back of the book and detailed solutions to all exercises are available to instructors in an Answers Manual. This text will appeal to advanced undergraduate and graduate students, as well as researchers and practitioners in engineering, business, social sciences or agriculture. Content, examples, an enhanced number of exercises, and graphical illustrations where appropriate to motivate the reader and demonstrate the applicability of probability and statistical inference in a great variety of human activities Reorganized material in the statistical portion of the book to ensure continuity and enhance understanding A relatively rigorous, yet accessible and always within the prescribed prerequisites, mathematical discussion of probability theory and statistical inference important to students in a broad variety of disciplines Relevant proofs where appropriate in each section, followed by exercises with useful clues to their solutions Brief answers to even-numbered exercises at the back of the book and detailed solutions to all exercises available to instructors in an Answers Manual

Introduction to Probability with R

Introduction to Probability with R Pdf/ePub eBook Author: Kenneth Baclawski
Editor: CRC Press
ISBN: 9781420065220
FileSize: 816kb
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Introduction to Probability with R by Kenneth Baclawski Summary

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.