Probability Essentials

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Probability Essentials

Author : Jean Jacod,Philip Protter
Publisher : Springer Science & Business Media
Page : 247 pages
File Size : 51,5 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.

Probability Essentials

Author : Jean Jacod,Philip Protter
Publisher : Springer Science & Business Media
Page : 242 pages
File Size : 44,7 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.

Probability Essentials

Author : Anonim
Publisher : Research & Education Assoc.
Page : 132 pages
File Size : 54,6 Mb
Release : 2024-06-26
Category : Mathematics
ISBN : 0738671371

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Probability Essentials by Anonim Pdf

REAs Essentials provide quick and easy access to critical information in a variety of different fields, ranging from the most basic to the most advanced. As its name implies, these concise, comprehensive study guides summarize the essentials of the field covered. Essentials are helpful when preparing for exams, doing homework and will remain a lasting reference source for students, teachers, and professionals. Probability includes basic concepts, counting methods, conditional probability and independence, random variables, sums of random variables, countably infinite random variables, continuous random variables, special discrete probability models, special continuous probability distributions, generating functions, and Markov chains.

Essentials of Probability Theory for Statisticians

Author : Michael A. Proschan,Pamela A. Shaw
Publisher : CRC Press
Page : 328 pages
File Size : 55,8 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.

Probability

Author : Rick Durrett
Publisher : Cambridge University Press
Page : 128 pages
File Size : 44,9 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.

Probability Essentials

Author : Jean Jacod,Philip Protter
Publisher : Unknown
Page : 264 pages
File Size : 48,6 Mb
Release : 1999-12-15
Category : Electronic
ISBN : 3642514324

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Probability Essentials by Jean Jacod,Philip Protter Pdf

Most books that deal with probability do not cover any measure theory, yet knowledge of measure theory is needed to learn probability. This book covers all the essentials of probability theory while developing the necessary measure theory. The book will bring its reader from a starting knowledge of probability through the basics of Martingale theory in a lean, directed manner. It is perfect for those needing a quick grounding in probability theory in order to move on to more advanced topics useful in applied areas such as finance, economics, electrical engineering, and operations research.

Fundamentals of Applied Probability and Random Processes

Author : Oliver Ibe
Publisher : Academic Press
Page : 456 pages
File Size : 48,8 Mb
Release : 2014-06-13
Category : Mathematics
ISBN : 9780128010358

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Fundamentals of Applied Probability and Random Processes by Oliver Ibe Pdf

The long-awaited revision of Fundamentals of Applied Probability and Random Processes expands on the central components that made the first edition a classic. The title is based on the premise that engineers use probability as a modeling tool, and that probability can be applied to the solution of engineering problems. Engineers and students studying probability and random processes also need to analyze data, and thus need some knowledge of statistics. This book is designed to provide students with a thorough grounding in probability and stochastic processes, demonstrate their applicability to real-world problems, and introduce the basics of statistics. The book's clear writing style and homework problems make it ideal for the classroom or for self-study. Demonstrates concepts with more than 100 illustrations, including 2 dozen new drawings Expands readers’ understanding of disruptive statistics in a new chapter (chapter 8) Provides new chapter on Introduction to Random Processes with 14 new illustrations and tables explaining key concepts. Includes two chapters devoted to the two branches of statistics, namely descriptive statistics (chapter 8) and inferential (or inductive) statistics (chapter 9).

Basics of Probability and Stochastic Processes

Author : Esra Bas
Publisher : Springer Nature
Page : 307 pages
File Size : 52,8 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.

Sampling Essentials

Author : Johnnie Daniel
Publisher : SAGE Publications
Page : 321 pages
File Size : 55,9 Mb
Release : 2011-04-25
Category : Social Science
ISBN : 9781452223056

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Sampling Essentials by Johnnie Daniel Pdf

Written for students taking research methods courses, this text provides a thorough overview of sampling principles. The author gives detailed, nontechnical descriptions and guidelines with limited presentation of formulas to help students reach basic research decisions, such as whether to choose a census or a sample, as well as how to select sample size and sample type. Intended for students and researchers in the social and behavioral sciences, public health research, marketing research, and related areas, the text provides nonstatisticians with the concepts and techniques they need to do quality work and make good sampling choices.

Probability Essentials, 2E

Author : Jacod
Publisher : Unknown
Page : 254 pages
File Size : 46,8 Mb
Release : 2008-06-01
Category : Electronic
ISBN : 818128982X

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Probability Essentials, 2E by Jacod Pdf

Quantum Computing and Information

Author : Dr. Peter Y. Lee,Dr. Huiwen Ji,Dr. Ran Cheng
Publisher : Polaris QCI Publishing
Page : 492 pages
File Size : 41,5 Mb
Release : 2024-03-14
Category : Science
ISBN : 9781961880009

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Quantum Computing and Information by Dr. Peter Y. Lee,Dr. Huiwen Ji,Dr. Ran Cheng Pdf

Unlock the Potential of Quantum Computing This expertly crafted guide demystifies the complexities of quantum computing through a progressive teaching method, making it accessible to students and newcomers alike. Features Explores quantum systems, gates and circuits, entanglement, algorithms, and more. Unique 'scaffolding approach' for easy understanding. Ideal for educators, students, and self-learners. Authors Dr. Peter Y. Lee (Ph.D., Princeton University) – Expert in quantum nanostructures, extensive teaching experience. Dr. Huiwen Ji (Ph.D., Princeton University) – Solid background in quantum chemistry, award-winning researcher. Dr. Ran Cheng (Ph.D., University of Texas at Austin) – Specializes in condensed matter theory, award-winning physicist.

Fundamentals of Probability and Stochastic Processes with Applications to Communications

Author : Kun Il Park
Publisher : Springer
Page : 275 pages
File Size : 46,8 Mb
Release : 2017-11-24
Category : Technology & Engineering
ISBN : 9783319680750

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Fundamentals of Probability and Stochastic Processes with Applications to Communications by Kun Il Park Pdf

This book provides engineers with focused treatment of the mathematics needed to understand probability, random variables, and stochastic processes, which are essential mathematical disciplines used in communications engineering. The author explains the basic concepts of these topics as plainly as possible so that people with no in-depth knowledge of these mathematical topics can better appreciate their applications in real problems. Applications examples are drawn from various areas of communications. If a reader is interested in understanding probability and stochastic processes that are specifically important for communications networks and systems, this book serves his/her need.

Computational Analysis and Understanding of Natural Languages: Principles, Methods and Applications

Author : Anonim
Publisher : Elsevier
Page : 537 pages
File Size : 45,6 Mb
Release : 2018-08-27
Category : Mathematics
ISBN : 9780444640437

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Computational Analysis and Understanding of Natural Languages: Principles, Methods and Applications by Anonim Pdf

Computational Analysis and Understanding of Natural Languages: Principles, Methods and Applications, Volume 38, the latest release in this monograph that provides a cohesive and integrated exposition of these advances and associated applications, includes new chapters on Linguistics: Core Concepts and Principles, Grammars, Open-Source Libraries, Application Frameworks, Workflow Systems, Mathematical Essentials, Probability, Inference and Prediction Methods, Random Processes, Bayesian Methods, Machine Learning, Artificial Neural Networks for Natural Language Processing, Information Retrieval, Language Core Tasks, Language Understanding Applications, and more. The synergistic confluence of linguistics, statistics, big data, and high-performance computing is the underlying force for the recent and dramatic advances in analyzing and understanding natural languages, hence making this series all the more important. Provides a thorough treatment of open-source libraries, application frameworks and workflow systems for natural language analysis and understanding Presents new chapters on Linguistics: Core Concepts and Principles, Grammars, Open-Source Libraries, Application Frameworks, Workflow Systems, Mathematical Essentials, Probability, and more

Random Phenomena

Author : Babatunde A. Ogunnaike
Publisher : CRC Press
Page : 1061 pages
File Size : 45,9 Mb
Release : 2011-05-20
Category : Technology & Engineering
ISBN : 9781420044980

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Random Phenomena by Babatunde A. Ogunnaike Pdf

Many of the problems that engineers face involve randomly varying phenomena of one sort or another. However, if characterized properly, even such randomness and the resulting uncertainty are subject to rigorous mathematical analysis. Taking into account the uniquely multidisciplinary demands of 21st-century science and engineering, Random Phenomena: Fundamentals of Probability and Statistics for Engineers provides students with a working knowledge of how to solve engineering problems that involve randomly varying phenomena. Basing his approach on the principle of theoretical foundations before application, Dr. Ogunnaike presents a classroom-tested course of study that explains how to master and use probability and statistics appropriately to deal with uncertainty in standard problems and those that are new and unfamiliar. Giving students the tools and confidence to formulate practical solutions to problems, this book offers many useful features, including: Unique case studies to illustrate the fundamentals and applications of probability and foster understanding of the random variable and its distribution Examples of development, selection, and analysis of probability models for specific random variables Presentation of core concepts and ideas behind statistics and design of experiments Selected "special topics," including reliability and life testing, quality assurance and control, and multivariate analysis As classic scientific boundaries continue to be restructured, the use of engineering is spilling over into more non-traditional areas, ranging from molecular biology to finance. This book emphasizes fundamentals and a "first principles" approach to deal with this evolution. It illustrates theory with practical examples and case studies, equipping readers to deal with a wide range of problems beyond those in the book. About the Author: Professor Ogunnaike is Interim Dean of Engineering at the University of Delaware. He is the recipient of the 2008 American Automatic Control Council's Control Engineering Practice Award, the ISA's Donald P. Eckman Education Award, the Slocomb Excellence in Teaching Award, and was elected into the US National Academy of Engineering in 2012.

Concepts of Probability Theory

Author : Paul E. Pfeiffer
Publisher : Courier Corporation
Page : 416 pages
File Size : 52,7 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.