Essentials Of Probability Theory For Statisticians

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Essentials of Probability Theory for Statisticians

Michael A. Proschan,Pamela A. Shaw
Essentials of Probability Theory for Statisticians Book PDF

Author : Michael A. Proschan,Pamela A. Shaw
Publisher : CRC Press
Page : 328 pages
File Size : 53,8 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.

Probability for Statistics and Machine Learning

Anirban DasGupta
Probability for Statistics and Machine Learning Book PDF

Author : Anirban DasGupta
Publisher : Springer Science & Business Media
Page : 796 pages
File Size : 51,5 Mb
Release : 2011-05-17
Category : Mathematics
ISBN : 9781441996343

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Probability for Statistics and Machine Learning by Anirban DasGupta Pdf

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.

The Essentials of Probability

Richard Durrett
The Essentials of Probability Book PDF

Author : Richard Durrett
Publisher : Duxbury Resource Center
Page : 296 pages
File Size : 41,9 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.

Essentials of Mathematical Statistics

Brian Albright
Essentials of Mathematical Statistics Book PDF

Author : Brian Albright
Publisher : Jones & Bartlett Publishers
Page : 607 pages
File Size : 47,9 Mb
Release : 2014
Category : Mathematics
ISBN : 9781449685348

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Essentials of Mathematical Statistics by Brian Albright Pdf

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.

Essentials of Inferential Statistics

Malcolm O. Asadoorian,Demetrius Kantarelis
Essentials of Inferential Statistics Book PDF

Author : Malcolm O. Asadoorian,Demetrius Kantarelis
Publisher : University Press of America
Page : 304 pages
File Size : 41,5 Mb
Release : 2005
Category : Business & Economics
ISBN : 0761830308

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Essentials of Inferential Statistics by Malcolm O. Asadoorian,Demetrius Kantarelis Pdf

Essentials of Inferential Statistics, fourth edition is appropriate for a one semester first course in Applied Statistics or as a reference book for practicing researchers in a wide variety of disciplines, including medicine, natural and social sciences, law, and engineering. Most importantly, this practical book thoroughly describes the Bayesian principles necessary for applied clinical research and strategic interaction, which are frequently omitted in other texts. After a comprehensive treatment of probability theory concepts, theorems, and some basic proofs, this laconically written text illustrates sampling distributions and their importance in estimation for the purpose of statistical inference. The book then shifts its focus to the essentials associated with confidence intervals, and hypothesis testing for major population parameters, namely, the population mean, population variance, and population proportion. In addition, it thoroughly describes the basics of correlation and simple linear regression as well as non-parametric statistics.

Probability for Statisticians

Galen R. Shorack
Probability for Statisticians Book PDF

Author : Galen R. Shorack
Publisher : Springer
Page : 510 pages
File Size : 50,8 Mb
Release : 2017-09-21
Category : Mathematics
ISBN : 9783319522074

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Probability for Statisticians by Galen R. Shorack Pdf

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.

Statistics and Probability with Applications for Engineers and Scientists

Bhisham C. Gupta,Irwin Guttman
Statistics and Probability with Applications for Engineers and Scientists Book PDF

Author : Bhisham C. Gupta,Irwin Guttman
Publisher : John Wiley & Sons
Page : 896 pages
File Size : 51,5 Mb
Release : 2013-04-29
Category : Mathematics
ISBN : 9781118464045

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Statistics and Probability with Applications for Engineers and Scientists by Bhisham C. Gupta,Irwin Guttman Pdf

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.

A Modern Introduction to Probability and Statistics

F.M. Dekking,C. Kraaikamp,H.P. Lopuhaä,L.E. Meester
A Modern Introduction to Probability and Statistics Book PDF

Author : F.M. Dekking,C. Kraaikamp,H.P. Lopuhaä,L.E. Meester
Publisher : Springer Science & Business Media
Page : 488 pages
File Size : 52,5 Mb
Release : 2006-03-30
Category : Mathematics
ISBN : 9781846281686

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A Modern Introduction to Probability and Statistics by F.M. Dekking,C. Kraaikamp,H.P. Lopuhaä,L.E. Meester Pdf

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

Jean Jacod,Philip Protter
Probability Essentials Book PDF

Author : Jean Jacod,Philip Protter
Publisher : Springer Science & Business Media
Page : 254 pages
File Size : 47,8 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.

Essentials of Statistics for Scientists and Technologists

C. Mack
Essentials of Statistics for Scientists and Technologists Book PDF

Author : C. Mack
Publisher : Springer Science & Business Media
Page : 180 pages
File Size : 44,8 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.

Random Phenomena

Babatunde A. Ogunnaike
Random Phenomena Book PDF

Author : Babatunde A. Ogunnaike
Publisher : CRC Press
Page : 1061 pages
File Size : 41,5 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.

Chance, Luck, and Statistics

Horace C. Levinson
Chance Luck and Statistics Book PDF

Author : Horace C. Levinson
Publisher : Courier Corporation
Page : 388 pages
File Size : 50,8 Mb
Release : 2001-01-01
Category : Mathematics
ISBN : 0486419975

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Chance, Luck, and Statistics by Horace C. Levinson Pdf

In simple, non-technical language, this volume explores the fundamentals governing chance and applies them to sports, government, and business. Topics includenbsp;the theory of probability in relation to superstitions, betting odds, warfare,nbsp;social problems, stocks, and other areas. "Clear and lively ...nbsp;remarkably accurate." —Scientific Monthly.

Probability for Statisticians

Galen R. Shorack
Probability for Statisticians Book PDF

Author : Galen R. Shorack
Publisher : Springer Science & Business Media
Page : 586 pages
File Size : 54,5 Mb
Release : 2006-05-02
Category : Mathematics
ISBN : 9780387227603

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Probability for Statisticians by Galen R. Shorack Pdf

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.

An Introduction to Probability and Statistics

Vijay K. Rohatgi,A.K. Md. Ehsanes Saleh
An Introduction to Probability and Statistics Book PDF

Author : Vijay K. Rohatgi,A.K. Md. Ehsanes Saleh
Publisher : John Wiley & Sons
Page : 728 pages
File Size : 55,9 Mb
Release : 2015-08-06
Category : Mathematics
ISBN : 9781118799680

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An Introduction to Probability and Statistics by Vijay K. Rohatgi,A.K. Md. Ehsanes Saleh Pdf

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.

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

A. A. Sveshnikov
Problems in Probability Theory Mathematical Statistics and Theory of Random Functions Book PDF

Author : A. A. Sveshnikov
Publisher : Courier Corporation
Page : 512 pages
File Size : 53,8 Mb
Release : 2012-04-30
Category : Mathematics
ISBN : 9780486137568

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Problems in Probability Theory, Mathematical Statistics and Theory of Random Functions by A. A. Sveshnikov Pdf

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.