The Essentials Of Probability

Author : Jean Jacod,Philip Protter
Publisher : Springer Science & Business Media
Page : 247 pages
File Size : 48,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642556821

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Probability Essentials by Jean Jacod,Philip Protter Pdf

This introduction can be used, at the beginning graduate level, for a one-semester course on probability theory or for self-direction without benefit of a formal course; the measure theory needed is developed in the text. It will also be useful for students and teachers in related areas such as finance theory, electrical engineering, and operations research. The text covers the essentials in a directed and lean way with 28 short chapters, and assumes only an undergraduate background in mathematics. Readers are taken right up to a knowledge of the basics of Martingale Theory, and the interested student will be ready to continue with the study of more advanced topics, such as Brownian Motion and Ito Calculus, or Statistical Inference.

Author : Richard Durrett
Publisher : Duxbury Resource Center
Page : 296 pages
File Size : 52,7 Mb
Release : 1994
Category : Mathematics
ISBN : STANFORD:36105009789244

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The Essentials of Probability by Richard Durrett Pdf

Offering a clear treatment of probability focused on problem solving, Richard Durrett presents only the essentials of probability, allowing instructors to cover this entire book in one semester. Each topic moves from the specific to the general, beginning with one or more examples that lead to theoretical results. A large number of examples and exercises relate applications to everyday life.

Author : Michael A. Proschan,Pamela A. Shaw
Publisher : CRC Press
Page : 328 pages
File Size : 53,5 Mb
Release : 2016-03-23
Category : Mathematics
ISBN : 9781498704205

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Essentials of Probability Theory for Statisticians by Michael A. Proschan,Pamela A. Shaw Pdf

Essentials of Probability Theory for Statisticians provides graduate students with a rigorous treatment of probability theory, with an emphasis on results central to theoretical statistics. It presents classical probability theory motivated with illustrative examples in biostatistics, such as outlier tests, monitoring clinical trials, and using adaptive methods to make design changes based on accumulating data. The authors explain different methods of proofs and show how they are useful for establishing classic probability results. After building a foundation in probability, the text intersperses examples that make seemingly esoteric mathematical constructs more intuitive. These examples elucidate essential elements in definitions and conditions in theorems. In addition, counterexamples further clarify nuances in meaning and expose common fallacies in logic. This text encourages students in statistics and biostatistics to think carefully about probability. It gives them the rigorous foundation necessary to provide valid proofs and avoid paradoxes and nonsensical conclusions.

Author : Rick Durrett
Publisher : Cambridge University Press
Page : 128 pages
File Size : 52,5 Mb
Release : 2010-08-30
Category : Mathematics
ISBN : 9781139491136

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Probability by Rick Durrett Pdf

This classic introduction to probability theory for beginning graduate students covers laws of large numbers, central limit theorems, random walks, martingales, Markov chains, ergodic theorems, and Brownian motion. It is a comprehensive treatment concentrating on the results that are the most useful for applications. Its philosophy is that the best way to learn probability is to see it in action, so there are 200 examples and 450 problems. The fourth edition begins with a short chapter on measure theory to orient readers new to the subject.

Author : Walpole
Publisher : Pearson Education India
Page : 844 pages
File Size : 52,5 Mb
Release : 2007-09
Category : Electronic
ISBN : 8131715523

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Probability & Statistics for Engineers & Scientists by Walpole Pdf

Author : Jean Jacod,Philip Protter
Publisher : Springer Science & Business Media
Page : 242 pages
File Size : 40,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642514319

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Probability Essentials by Jean Jacod,Philip Protter Pdf

This introduction can be used, at the beginning graduate level, for a one-semester course on probability theory or for self-direction without benefit of a formal course; the measure theory needed is developed in the text. It will also be useful for students and teachers in related areas such as finance theory, electrical engineering, and operations research. The text covers the essentials in a directed and lean way with 28 short chapters, and assumes only an undergraduate background in mathematics. Readers are taken right up to a knowledge of the basics of Martingale Theory, and the interested student will be ready to continue with the study of more advanced topics, such as Brownian Motion and Ito Calculus, or Statistical Inference.

Author : C. Mack
Publisher : Springer Science & Business Media
Page : 180 pages
File Size : 44,5 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9781461586159

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Essentials of Statistics for Scientists and Technologists by C. Mack Pdf

Statistics is of ever-increasing importance in Science and Technology and this book presents the essentials of the subject in a form suitable either as the basis of a course of lectures or to be read and/or used on its own. It assumes very little in the way of mathematical knowledge-just the ability to substitute numerically in a few simple formulae. However, some mathematical proofs are outlined or given in full to illustrate the derivation of the subject; these can be omitted without loss of understanding. The book does aim at making clear the scope and nature of those essential tests and methods that a scientist or technologist is likely to need; to this end each chapter has been divided into sections with their own subheadings and some effort has been made to make the text unambiguous (if any reader finds a misleading point anywhere I hope he will write to me about it). Also with this aim in view, the equality of probability to proportion of population is stated early, then the normal distribution and the taking of samples is discussed. This occupies the first five chapters. With the principles of these chapters understood, the student can immediately learn the significance tests of Chapter 6 and, if he needs it, the analysis of variance of Chapter 7. For some scientists this will be most of what they need. However, they will be in a position to read and/or use the remaining chapters without undue difficulty.

Author : Richard Durrett
Publisher : Springer
Page : 282 pages
File Size : 41,7 Mb
Release : 2016-11-07
Category : Mathematics
ISBN : 9783319456140

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Essentials of Stochastic Processes by Richard Durrett Pdf

Building upon the previous editions, this textbook is a first course in stochastic processes taken by undergraduate and graduate students (MS and PhD students from math, statistics, economics, computer science, engineering, and finance departments) who have had a course in probability theory. It covers Markov chains in discrete and continuous time, Poisson processes, renewal processes, martingales, and option pricing. One can only learn a subject by seeing it in action, so there are a large number of examples and more than 300 carefully chosen exercises to deepen the reader’s understanding. Drawing from teaching experience and student feedback, there are many new examples and problems with solutions that use TI-83 to eliminate the tedious details of solving linear equations by hand, and the collection of exercises is much improved, with many more biological examples. Originally included in previous editions, material too advanced for this first course in stochastic processes has been eliminated while treatment of other topics useful for applications has been expanded. In addition, the ordering of topics has been improved; for example, the difficult subject of martingales is delayed until its usefulness can be applied in the treatment of mathematical finance.

Author : Paul E. Pfeiffer
Publisher : Courier Corporation
Page : 416 pages
File Size : 44,8 Mb
Release : 2013-05-13
Category : Mathematics
ISBN : 9780486165660

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Concepts of Probability Theory by Paul E. Pfeiffer Pdf

Using the Kolmogorov model, this intermediate-level text discusses random variables, probability distributions, mathematical expectation, random processes, more. For advanced undergraduates students of science, engineering, or math. Includes problems with answers and six appendixes. 1965 edition.

Author : Esra Bas
Publisher : Springer Nature
Page : 307 pages
File Size : 47,6 Mb
Release : 2019-11-05
Category : Mathematics
ISBN : 9783030323233

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Basics of Probability and Stochastic Processes by Esra Bas Pdf

This textbook explores probability and stochastic processes at a level that does not require any prior knowledge except basic calculus. It presents the fundamental concepts in a step-by-step manner, and offers remarks and warnings for deeper insights. The chapters include basic examples, which are revisited as the new concepts are introduced. To aid learning, figures and diagrams are used to help readers grasp the concepts, and the solutions to the exercises and problems. Further, a table format is also used where relevant for better comparison of the ideas and formulae. The first part of the book introduces readers to the essentials of probability, including combinatorial analysis, conditional probability, and discrete and continuous random variable. The second part then covers fundamental stochastic processes, including point, counting, renewal and regenerative processes, the Poisson process, Markov chains, queuing models and reliability theory. Primarily intended for undergraduate engineering students, it is also useful for graduate-level students wanting to refresh their knowledge of the basics of probability and stochastic processes.

Author : Richard Durrett
Publisher : Unknown
Page : 109 pages
File Size : 44,7 Mb
Release : 1994
Category : Probabilities
ISBN : 0534192319

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Solutions Manual to Accompany The Essentials of Probability by Richard Durrett Pdf

Author : Alfred Renyi
Publisher : Courier Corporation
Page : 386 pages
File Size : 44,6 Mb
Release : 2007-01-01
Category : Mathematics
ISBN : 9780486462615

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Foundations of Probability by Alfred Renyi Pdf

Introducing many innovations in content and methods, this book involves the foundations, basic concepts, and fundamental results of probability theory. Geared toward readers seeking a firm basis for study of mathematical statistics or information theory, it also covers the mathematical notions of experiments and independence. 1970 edition.

Author : Ronald E.. Walpole,Raymond H. Myers,Sharon L. Myers
Publisher : Unknown
Page : 470 pages
File Size : 49,9 Mb
Release : 2013-08-16
Category : Engineering
ISBN : 1292022531

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Essentials of Probability and Statistics for Engineers and Scientists by Ronald E.. Walpole,Raymond H. Myers,Sharon L. Myers Pdf

For junior/senior undergraduates taking a one-semester probability and statistics course as applied to engineering, science, or computer science. This text covers the essential topics needed for a fundamental understanding of basic statistics and its applications in the fields of engineering and the sciences. Interesting, relevant applications use real data from actual studies, showing how the concepts and methods can be used to solve problems in the field. Students using this text should have the equivalent of the completion of one semester of differential and integral calculus.

Author : Michael A. Proschan,Pamela A. Shaw
Publisher : CRC Press
Page : 328 pages
File Size : 51,7 Mb
Release : 2018-09-03
Category : Mathematics
ISBN : 9781315362359

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Essentials of Probability Theory for Statisticians by Michael A. Proschan,Pamela A. Shaw Pdf

Essentials of Probability Theory for Statisticians provides graduate students with a rigorous treatment of probability theory, with an emphasis on results central to theoretical statistics. It presents classical probability theory motivated with illustrative examples in biostatistics, such as outlier tests, monitoring clinical trials, and using adaptive methods to make design changes based on accumulating data. The authors explain different methods of proofs and show how they are useful for establishing classic probability results. After building a foundation in probability, the text intersperses examples that make seemingly esoteric mathematical constructs more intuitive. These examples elucidate essential elements in definitions and conditions in theorems. In addition, counterexamples further clarify nuances in meaning and expose common fallacies in logic. This text encourages students in statistics and biostatistics to think carefully about probability. It gives them the rigorous foundation necessary to provide valid proofs and avoid paradoxes and nonsensical conclusions.

Author : Henk Tijms
Publisher : Cambridge University Press
Page : 407 pages
File Size : 45,6 Mb
Release : 2007-07-26
Category : Mathematics
ISBN : 9781139465458

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Understanding Probability by Henk Tijms Pdf

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.