Essentials Of Probability Theory For Statisticians

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Essentials of Probability Theory for Statisticians

Author : Michael A. Proschan
Publisher : CRC Press
ISBN 13 : 1498704204
Total Pages : 334 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Essentials of Probability Theory for Statisticians by : Michael A. Proschan

Download or read book Essentials of Probability Theory for Statisticians written by Michael A. Proschan and published by CRC Press. This book was released on 2016-03-23 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Essentials of Probability Theory for Statisticians

Author : Michael A. Proschan
Publisher : CRC Press
ISBN 13 : 131536235X
Total Pages : 328 pages
Book Rating : 4.3/5 (153 download)

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Book Synopsis Essentials of Probability Theory for Statisticians by : Michael A. Proschan

Download or read book Essentials of Probability Theory for Statisticians written by Michael A. Proschan and published by CRC Press. This book was released on 2018-09-03 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Fundamentals of Probability: A First Course

Author : Anirban DasGupta
Publisher : Springer Science & Business Media
ISBN 13 : 1441957804
Total Pages : 457 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Fundamentals of Probability: A First Course by : Anirban DasGupta

Download or read book Fundamentals of Probability: A First Course written by Anirban DasGupta and published by Springer Science & Business Media. This book was released on 2010-04-02 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probability theory is one branch of mathematics that is simultaneously deep and immediately applicable in diverse areas of human endeavor. It is as fundamental as calculus. Calculus explains the external world, and probability theory helps predict a lot of it. In addition, problems in probability theory have an innate appeal, and the answers are often structured and strikingly beautiful. A solid background in probability theory and probability models will become increasingly more useful in the twenty-?rst century, as dif?cult new problems emerge, that will require more sophisticated models and analysis. Thisisa text onthe fundamentalsof thetheoryofprobabilityat anundergraduate or ?rst-year graduate level for students in science, engineering,and economics. The only mathematical background required is knowledge of univariate and multiva- ate calculus and basic linear algebra. The book covers all of the standard topics in basic probability, such as combinatorial probability, discrete and continuous distributions, moment generating functions, fundamental probability inequalities, the central limit theorem, and joint and conditional distributions of discrete and continuous random variables. But it also has some unique features and a forwa- looking feel.

Probability for Statisticians

Author : Galen R. Shorack
Publisher : Springer
ISBN 13 : 3319522078
Total Pages : 519 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Probability for Statisticians by : Galen R. Shorack

Download or read book Probability for Statisticians written by Galen R. Shorack and published by Springer. This book was released on 2017-09-21 with total page 519 pages. Available in PDF, EPUB and Kindle. Book excerpt: The choice of examples used in this text clearly illustrate its use for a one-year graduate course. The material to be presented in the classroom constitutes a little more than half the text, while the rest of the text provides background, offers different routes that could be pursued in the classroom, as well as additional material that is appropriate for self-study. Of particular interest is a presentation of the major central limit theorems via Steins method either prior to or alternative to a characteristic function presentation. Additionally, there is considerable emphasis placed on the quantile function as well as the distribution function, with both the bootstrap and trimming presented. The section on martingales covers censored data martingales.

Basic Concepts of Probability and Statistics

Author : Joseph Lawson Hodges
Publisher :
ISBN 13 :
Total Pages : 412 pages
Book Rating : 4.:/5 (43 download)

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Book Synopsis Basic Concepts of Probability and Statistics by : Joseph Lawson Hodges

Download or read book Basic Concepts of Probability and Statistics written by Joseph Lawson Hodges and published by . This book was released on 1964 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Essentials of Mathematical Statistics

Author : Brian Albright
Publisher : Jones & Bartlett Publishers
ISBN 13 : 144968534X
Total Pages : 607 pages
Book Rating : 4.4/5 (496 download)

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Book Synopsis Essentials of Mathematical Statistics by : Brian Albright

Download or read book Essentials of Mathematical Statistics written by Brian Albright and published by Jones & Bartlett Publishers. This book was released on 2014 with total page 607 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text combines the topics generally found in main-stream elementary statistics books with the essentials of the underlying theory. The book begins with an axiomatic treatment of probability followed by chapters on discrete and continuous random variables and their associated distributions. It then introduces basic statistical concepts including summarizing data and interval parameter estimation, stressing the connection between probability and statistics. Final chapters introduce hypothesis testing, regression, and non-parametric techniques. All chapters provide a balance between conceptual understanding and theoretical understanding of the topics at hand.

A Modern Introduction to Probability and Statistics

Author : F.M. Dekking
Publisher : Springer Science & Business Media
ISBN 13 : 1846281687
Total Pages : 485 pages
Book Rating : 4.8/5 (462 download)

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Book Synopsis A Modern Introduction to Probability and Statistics by : F.M. Dekking

Download or read book A Modern Introduction to Probability and Statistics written by F.M. Dekking and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Probability Essentials

Author : Jean Jacod
Publisher : Springer Science & Business Media
ISBN 13 : 3642556825
Total Pages : 247 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Probability Essentials by : Jean Jacod

Download or read book Probability Essentials written by Jean Jacod and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Basic Probability Theory

Author : Robert B. Ash
Publisher : Courier Corporation
ISBN 13 : 0486466280
Total Pages : 354 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis Basic Probability Theory by : Robert B. Ash

Download or read book Basic Probability Theory written by Robert B. Ash and published by Courier Corporation. This book was released on 2008-06-26 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to more advanced courses in probability and real analysis emphasizes the probabilistic way of thinking, rather than measure-theoretic concepts. Geared toward advanced undergraduates and graduate students, its sole prerequisite is calculus. Taking statistics as its major field of application, the text opens with a review of basic concepts, advancing to surveys of random variables, the properties of expectation, conditional probability and expectation, and characteristic functions. Subsequent topics include infinite sequences of random variables, Markov chains, and an introduction to statistics. Complete solutions to some of the problems appear at the end of the book.

Problems in Probability Theory, Mathematical Statistics and Theory of Random Functions

Author : A. A. Sveshnikov
Publisher : Courier Corporation
ISBN 13 : 0486137562
Total Pages : 516 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Problems in Probability Theory, Mathematical Statistics and Theory of Random Functions by : A. A. Sveshnikov

Download or read book Problems in Probability Theory, Mathematical Statistics and Theory of Random Functions written by A. A. Sveshnikov and published by Courier Corporation. This book was released on 2012-04-30 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approximately 1,000 problems — with answers and solutions included at the back of the book — illustrate such topics as random events, random variables, limit theorems, Markov processes, and much more.

Fundamentals of Probability and Statistics for Engineers

Author : T. T. Soong
Publisher : John Wiley & Sons
ISBN 13 : 0470868155
Total Pages : 406 pages
Book Rating : 4.4/5 (78 download)

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Book Synopsis Fundamentals of Probability and Statistics for Engineers by : T. T. Soong

Download or read book Fundamentals of Probability and Statistics for Engineers written by T. T. Soong and published by John Wiley & Sons. This book was released on 2004-06-25 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook differs from others in the field in that it has been prepared very much with students and their needs in mind, having been classroom tested over many years. It is a true “learner’s book” made for students who require a deeper understanding of probability and statistics. It presents the fundamentals of the subject along with concepts of probabilistic modelling, and the process of model selection, verification and analysis. Furthermore, the inclusion of more than 100 examples and 200 exercises (carefully selected from a wide range of topics), along with a solutions manual for instructors, means that this text is of real value to students and lecturers across a range of engineering disciplines. Key features: Presents the fundamentals in probability and statistics along with relevant applications. Explains the concept of probabilistic modelling and the process of model selection, verification and analysis. Definitions and theorems are carefully stated and topics rigorously treated. Includes a chapter on regression analysis. Covers design of experiments. Demonstrates practical problem solving throughout the book with numerous examples and exercises purposely selected from a variety of engineering fields. Includes an accompanying online Solutions Manual for instructors containing complete step-by-step solutions to all problems.

Probability for Statistics and Machine Learning

Author : Anirban DasGupta
Publisher : Springer Science & Business Media
ISBN 13 : 1441996346
Total Pages : 796 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Probability for Statistics and Machine Learning by : Anirban DasGupta

Download or read book Probability for Statistics and Machine Learning written by Anirban DasGupta and published by Springer Science & Business Media. This book was released on 2011-05-17 with total page 796 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a versatile and lucid treatment of classic as well as modern probability theory, while integrating them with core topics in statistical theory and also some key tools in machine learning. It is written in an extremely accessible style, with elaborate motivating discussions and numerous worked out examples and exercises. The book has 20 chapters on a wide range of topics, 423 worked out examples, and 808 exercises. It is unique in its unification of probability and statistics, its coverage and its superb exercise sets, detailed bibliography, and in its substantive treatment of many topics of current importance. This book can be used as a text for a year long graduate course in statistics, computer science, or mathematics, for self-study, and as an invaluable research reference on probabiliity and its applications. Particularly worth mentioning are the treatments of distribution theory, asymptotics, simulation and Markov Chain Monte Carlo, Markov chains and martingales, Gaussian processes, VC theory, probability metrics, large deviations, bootstrap, the EM algorithm, confidence intervals, maximum likelihood and Bayes estimates, exponential families, kernels, and Hilbert spaces, and a self contained complete review of univariate probability.

Understanding Probability and Statistics

Author : Ruma Falk
Publisher : A K Peters/CRC Press
ISBN 13 :
Total Pages : 264 pages
Book Rating : 4.X/5 (2 download)

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Book Synopsis Understanding Probability and Statistics by : Ruma Falk

Download or read book Understanding Probability and Statistics written by Ruma Falk and published by A K Peters/CRC Press. This book was released on 1993-04-15 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Probability Theory

Author : Werner Linde
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110466198
Total Pages : 410 pages
Book Rating : 4.1/5 (14 download)

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Book Synopsis Probability Theory by : Werner Linde

Download or read book Probability Theory written by Werner Linde and published by Walter de Gruyter GmbH & Co KG. This book was released on 2016-10-24 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended as an introduction to Probability Theory and Mathematical Statistics for students in mathematics, the physical sciences, engineering, and related fields. It is based on the author’s 25 years of experience teaching probability and is squarely aimed at helping students overcome common difficulties in learning the subject. The focus of the book is an explanation of the theory, mainly by the use of many examples. Whenever possible, proofs of stated results are provided. All sections conclude with a short list of problems. The book also includes several optional sections on more advanced topics. This textbook would be ideal for use in a first course in Probability Theory. Contents: Probabilities Conditional Probabilities and Independence Random Variables and Their Distribution Operations on Random Variables Expected Value, Variance, and Covariance Normally Distributed Random Vectors Limit Theorems Mathematical Statistics Appendix Bibliography Index

Probability, Statistics, and Truth

Author : Richard Von Mises
Publisher : Courier Corporation
ISBN 13 : 0486242145
Total Pages : 273 pages
Book Rating : 4.4/5 (862 download)

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Book Synopsis Probability, Statistics, and Truth by : Richard Von Mises

Download or read book Probability, Statistics, and Truth written by Richard Von Mises and published by Courier Corporation. This book was released on 1981-01-01 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive study of probability considers the approaches of Pascal, Laplace, Poisson, and others. It also discusses Laws of Large Numbers, the theory of errors, and other relevant topics.

The Essentials of Probability

Author : Richard Durrett
Publisher : Duxbury Resource Center
ISBN 13 :
Total Pages : 296 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis The Essentials of Probability by : Richard Durrett

Download or read book The Essentials of Probability written by Richard Durrett and published by Duxbury Resource Center. This book was released on 1994 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Statistics and Probability with Applications for Engineers and Scientists

Author : Bhisham C. Gupta
Publisher : John Wiley & Sons
ISBN 13 : 1118464044
Total Pages : 896 pages
Book Rating : 4.1/5 (184 download)

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Book Synopsis Statistics and Probability with Applications for Engineers and Scientists by : Bhisham C. Gupta

Download or read book Statistics and Probability with Applications for Engineers and Scientists written by Bhisham C. Gupta and published by John Wiley & Sons. This book was released on 2013-04-29 with total page 896 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introducing the tools of statistics and probability from the ground up An understanding of statistical tools is essential for engineers and scientists who often need to deal with data analysis over the course of their work. Statistics and Probability with Applications for Engineers and Scientists walks readers through a wide range of popular statistical techniques, explaining step-by-step how to generate, analyze, and interpret data for diverse applications in engineering and the natural sciences. Unique among books of this kind, Statistics and Probability with Applications for Engineers and Scientists covers descriptive statistics first, then goes on to discuss the fundamentals of probability theory. Along with case studies, examples, and real-world data sets, the book incorporates clear instructions on how to use the statistical packages Minitab® and Microsoft® Office Excel® to analyze various data sets. The book also features: • Detailed discussions on sampling distributions, statistical estimation of population parameters, hypothesis testing, reliability theory, statistical quality control including Phase I and Phase II control charts, and process capability indices • A clear presentation of nonparametric methods and simple and multiple linear regression methods, as well as a brief discussion on logistic regression method • Comprehensive guidance on the design of experiments, including randomized block designs, one- and two-way layout designs, Latin square designs, random effects and mixed effects models, factorial and fractional factorial designs, and response surface methodology • A companion website containing data sets for Minitab and Microsoft Office Excel, as well as JMP ® routines and results Assuming no background in probability and statistics, Statistics and Probability with Applications for Engineers and Scientists features a unique, yet tried-and-true, approach that is ideal for all undergraduate students as well as statistical practitioners who analyze and illustrate real-world data in engineering and the natural sciences.