Probability For Statisticians

Author : Galen R. Shorack
Publisher : Springer
Page : 510 pages
File Size : 55,8 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.

Author : Michael A. Proschan,Pamela A. Shaw
Publisher : CRC Press
Page : 328 pages
File Size : 51,5 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 : John Tabak
Publisher : Infobase Publishing
Page : 241 pages
File Size : 40,5 Mb
Release : 2014-05-14
Category : Electronic books
ISBN : 9780816068739

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Probability and Statistics by John Tabak Pdf

Presents a survey of the history and evolution of the branch of mathematics that focuses on probability and statistics, including useful applications and notable mathematicians in this area.

Author : John J. Kinney
Publisher : John Wiley & Sons
Page : 280 pages
File Size : 53,7 Mb
Release : 2009-05-06
Category : Mathematics
ISBN : 0470486961

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A Probability and Statistics Companion by John J. Kinney Pdf

An accessible and engaging introduction to the study of probability and statistics Utilizing entertaining real-world examples, A Probability and Statistics Companion provides aunique, interesting, and accessible introduction to probability and statistics. This one-of-a-kind book delves into practical topics that are crucial in the analysis of sample surveys and experimentation. This handy book contains introductory explanations of the major topics in probability and statistics, including hypothesis testing and regression, while also delving into more advanced topics such as the analysis of sample surveys, analysis of experimental data, and statistical process control. The book recognizes that there are many sampling techniques that can actually improve on simple random sampling, and in addition, an introduction to the design of experiments is provided to reflect recent advances in conducting scientific experiments. This blend of coverage results in the development of a deeper understanding and solid foundation for the study of probability and statistics. Additional topical coverage includes: Probability and sample spaces Choosing the best candidate Acceptance sampling Conditional probability Random variables and discrete probability distributions Waiting time problems Continuous probability distributions Statistical inference Nonparametric methods Least squares and medians Recursions and probability Each chapter contains exercises and explorations for readers who wish to conduct independent projects or investigations. The discussion of most methods is complemented with applications to engaging, real-world scenarios such as winning speeds at the Indianapolis 500 and predicting winners of the World Series. In addition, the book enhances the visual nature of the subject with numerous multidimensional graphical representations of the presented examples. A Probability and Statistics Companion is an excellent book for introductory probability and statistics courses at the undergraduate level. It is also a valuable reference for professionals who use statistical concepts to make informed decisions in their day-to-day work.

Author : Ruma Falk,Raphael Falk
Publisher : A K Peters/CRC Press
Page : 264 pages
File Size : 41,7 Mb
Release : 1993-04-15
Category : Mathematics
ISBN : UVA:X002327605

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Understanding Probability and Statistics by Ruma Falk,Raphael Falk Pdf

Author : F.M. Dekking,C. Kraaikamp,H.P. Lopuhaä,L.E. Meester
Publisher : Springer Science & Business Media
Page : 488 pages
File Size : 40,5 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

Author : Charles J. Stone
Publisher : Duxbury Resource Center
Page : 858 pages
File Size : 47,5 Mb
Release : 1996
Category : Mathematics
ISBN : STANFORD:36105012433012

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A Course in Probability and Statistics by Charles J. Stone Pdf

This author's modern approach is intended primarily for honors undergraduates or undergraduates with a good math background taking a mathematical statistics or statistical inference course. The author takes a finite-dimensional functional modeling viewpoint (in contrast to the conventional parametric approach) to strengthen the connection between statistical theory and statistical methodology.

Author : Richard Von Mises
Publisher : Courier Corporation
Page : 273 pages
File Size : 44,8 Mb
Release : 1981-01-01
Category : Mathematics
ISBN : 9780486242149

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Probability, Statistics, and Truth by Richard Von Mises Pdf

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.

Author : Michael J. Evans,Jeffrey S. Rosenthal
Publisher : WH Freeman
Page : 200 pages
File Size : 46,7 Mb
Release : 2010-03-01
Category : Mathematics
ISBN : 1429224630

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Probability and Statistics by Michael J. Evans,Jeffrey S. Rosenthal Pdf

Unlike traditional introductory math/stat textbooks, Probability and Statistics: The Science of Uncertainty brings a modern flavor to the course, incorporating the computer and offering an integrated approach to inference that includes the frequency approach and the Bayesian inference. From the start the book integrates simulations into its theoretical coverage, and emphasizes the use of computer-powered computation throughout. Math and science majors with just one year of calculus can use this text and experience a refreshing blend of applications and theory that goes beyond merely mastering the technicalities. The new edition includes a number of features designed to make the material more accessible and level-appropriate to the students taking this course today.

Author : Michael A. Proschan,Pamela A. Shaw
Publisher : CRC Press
Page : 328 pages
File Size : 51,9 Mb
Release : 2019-12-10
Category : Electronic
ISBN : 0367871637

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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 : Francesca Biagini,Massimo Campanino
Publisher : Springer
Page : 246 pages
File Size : 54,6 Mb
Release : 2016-01-22
Category : Mathematics
ISBN : 9783319072548

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Elements of Probability and Statistics by Francesca Biagini,Massimo Campanino Pdf

This book provides an introduction to elementary probability and to Bayesian statistics using de Finetti's subjectivist approach. One of the features of this approach is that it does not require the introduction of sample space – a non-intrinsic concept that makes the treatment of elementary probability unnecessarily complicate – but introduces as fundamental the concept of random numbers directly related to their interpretation in applications. Events become a particular case of random numbers and probability a particular case of expectation when it is applied to events. The subjective evaluation of expectation and of conditional expectation is based on an economic choice of an acceptable bet or penalty. The properties of expectation and conditional expectation are derived by applying a coherence criterion that the evaluation has to follow. The book is suitable for all introductory courses in probability and statistics for students in Mathematics, Informatics, Engineering, and Physics.

Author : Joseph K. Blitzstein,Jessica Hwang
Publisher : CRC Press
Page : 599 pages
File Size : 48,9 Mb
Release : 2014-07-24
Category : Mathematics
ISBN : 9781466575578

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Introduction to Probability by Joseph K. Blitzstein,Jessica Hwang Pdf

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.

Author : Svetlozar T. Rachev,Lev Klebanov,Stoyan V. Stoyanov,Frank Fabozzi
Publisher : Springer Science & Business Media
Page : 616 pages
File Size : 54,5 Mb
Release : 2013-01-04
Category : Mathematics
ISBN : 9781461448693

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The Methods of Distances in the Theory of Probability and Statistics by Svetlozar T. Rachev,Lev Klebanov,Stoyan V. Stoyanov,Frank Fabozzi Pdf

This book covers the method of metric distances and its application in probability theory and other fields. The method is fundamental in the study of limit theorems and generally in assessing the quality of approximations to a given probabilistic model. The method of metric distances is developed to study stability problems and reduces to the selection of an ideal or the most appropriate metric for the problem under consideration and a comparison of probability metrics. After describing the basic structure of probability metrics and providing an analysis of the topologies in the space of probability measures generated by different types of probability metrics, the authors study stability problems by providing a characterization of the ideal metrics for a given problem and investigating the main relationships between different types of probability metrics. The presentation is provided in a general form, although specific cases are considered as they arise in the process of finding supplementary bounds or in applications to important special cases. Svetlozar T. Rachev is the Frey Family Foundation Chair of Quantitative Finance, Department of Applied Mathematics and Statistics, SUNY-Stony Brook and Chief Scientist of Finanlytica, USA. Lev B. Klebanov is a Professor in the Department of Probability and Mathematical Statistics, Charles University, Prague, Czech Republic. Stoyan V. Stoyanov is a Professor at EDHEC Business School and Head of Research, EDHEC-Risk Institute—Asia (Singapore). Frank J. Fabozzi is a Professor at EDHEC Business School. (USA)

Author : Galen R. Shorack
Publisher : Springer
Page : 510 pages
File Size : 49,9 Mb
Release : 2017-10-03
Category : Mathematics
ISBN : 331952206X

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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.

Author : C.C. Heyde,E. Seneta
Publisher : Springer Science & Business Media
Page : 516 pages
File Size : 54,7 Mb
Release : 2001-08-09
Category : Mathematics
ISBN : 0387952837

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Statisticians of the Centuries by C.C. Heyde,E. Seneta Pdf

Written by leading statisticians and probabilists, this volume consists of 104 biographical articles on eminent contributors to statistical and probabilistic ideas born prior to the 20th Century. Among the statisticians covered are Fermat, Pascal, Huygens, Neumann, Bernoulli, Bayes, Laplace, Legendre, Gauss, Poisson, Pareto, Markov, Bachelier, Borel, and many more.