Download or read book The Life and Times of the Central Limit Theorem written by William J. Adams and published by . This book was released on 2009 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: About the First Edition: The study of any topic becomes more meaningful if one also studies the historical development that resulted in the final theorem. ...This is an excellent book on mathematics in the making. -Philip Peak, The Mathematics Teacher, May, 1975 I find the book very interesting. It contains valuable information and useful references. It can be recommended not only to historians of science and mathematics but also to students of probability and statistics. -Wei-Ching Chang, Historica Mathematica, August, 1976 In the months since I wrote...I have read it from cover to cover at least.
Download or read book The Life and Times of the Central Limit Theorem written by William J. Adams and published by American Mathematical Soc.. This book was released on 2009-11-25 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: About the First Edition: The study of any topic becomes more meaningful if one also studies the historical development that resulted in the final theorem. ... This is an excellent book on mathematics in the making. --Philip Peak, The Mathematics Teacher, May, 1975 I find the book very interesting. It contains valuable information and useful references. It can be recommended not only to historians of science and mathematics but also to students of probability and statistics. --Wei-Ching Chang, Historica Mathematica, August, 1976 In the months since I wrote ... I have read it from cover to cover at least once and perused it here and there a number of times. I still find it a very interesting and worthwhile contribution to the history of probability and statistics. --Churchill Eisenhart, past president of the American Statistical Association, in a letter to the author, February 3, 1975 The name Central Limit Theorem covers a wide variety of results involving the determination of necessary and sufficient conditions under which sums of independent random variables, suitably standardized, have cumulative distribution functions close to the Gaussian distribution. As the name Central Limit Theorem suggests, it is a centerpiece of probability theory which also carries over to statistics. Part One of The Life and Times of the Central Limit Theorem, Second Edition traces its fascinating history from seeds sown by Jacob Bernoulli to use of integrals of $\exp (x^2)$ as an approximation tool, the development of the theory of errors of observation, problems in mathematical astronomy, the emergence of the hypothesis of elementary errors, the fundamental work of Laplace, and the emergence of an abstract Central Limit Theorem through the work of Chebyshev, Markov and Lyapunov. This closes the classical period of the life of the Central Limit Theorem, 1713-1901. The second part of the book includes papers by Feller and Le Cam, as well as comments by Doob, Trotter, and Pollard, describing the modern history of the Central Limit Theorem (1920-1937), in particular through contributions of Lindeberg, Cramer, Levy, and Feller. The Appendix to the book contains four fundamental papers by Lyapunov on the Central Limit Theorem, made available in English for the first time.
Download or read book Probability and Information written by David Applebaum and published by Cambridge University Press. This book was released on 1996-07-13 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: This elementary introduction to probability theory and information theory is suitable as a textbook for beginning students in mathematics, statistics or computer science who have some knowledge of basic calculus. It provides a clear and systematic foundation to the subject; the concept of probability is given particular attention via a highly simplified discussion of measures on Boolean algebras. The theoretical ideas are then applied to practical areas such as statistical inference, random walks, statistical mechanics and communications modelling. Topics dealt with include discrete and continuous random variables, entropy and mutual information, maximum entropy methods, the central limit theorem and the coding and transmission of information. Many examples and exercises are included that illustrate how the theory can be applied, for example to information technology. Detailed solutions to most exercises are available electronically from the Cambridge WWW server.
Download or read book A History of the Central Limit Theorem written by Hans Fischer and published by Springer Science & Business Media. This book was released on 2010-10-08 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study discusses the history of the central limit theorem and related probabilistic limit theorems from about 1810 through 1950. In this context the book also describes the historical development of analytical probability theory and its tools, such as characteristic functions or moments. The central limit theorem was originally deduced by Laplace as a statement about approximations for the distributions of sums of independent random variables within the framework of classical probability, which focused upon specific problems and applications. Making this theorem an autonomous mathematical object was very important for the development of modern probability theory.
Download or read book The Nitty Gritty in the Life of a University written by William J. Adams and published by Xlibris Corporation. This book was released on 2007 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: An esteemed professor and one-time chairman of the mathematics department at New York's Pace University, Adams, interested in all facets of university administration, has produced an almost Jeffersonian volume of correspondence from his tenure. His views on textbook selection, collective bargaining and the proper role of the university have all flowed from his notebook, and no problem was too minute to evade his scope The frivolity of some of these papers is balanced by Adams's opinions on weightier issues, including sexual harassment and compensation in higher education. His approach and forward manner on these situations, despite how genuine, sometimes engendered resentment from his fellow faculty. But for those interested in the particulars of an academic career, this book offers a glimpse of what life may really be like inside the ivory tower. - Kirkus Discoveries-
Download or read book Encyclopedia of Statistical Sciences Volume 3 written by and published by John Wiley & Sons. This book was released on 2005-12-16 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt: ENCYCLOPEDIA OF STATISTICAL SCIENCES
Download or read book Statistics written by William J. Adams and published by Xlibris Corporation. This book was released on 2009-02-03 with total page 756 pages. Available in PDF, EPUB and Kindle. Book excerpt: " Our objective in this book is to present an exposition of basic principles of statistics along with some indication of applications which satisfies the following ten commandments: The focus should be placed on a clear development of basic ideas and principles. The exposition of these basic ideas and principles should be streamlined so as to avoid having the undergrowth get in the way of the statistical forest. High priority should be given to the assumptions which underlie the application of statistical principles. Understanding of abuses, misuses, and misunderstandings which have arisen from the application of statistics is essential for a correct understanding of statistics. The coverage should provide students with sufficient preparation for continued study of intermediate and advanced level statistics or disciplines which use statistical methodology. The exposition should be readable and understandable by students without sacrifice of mathematical accuracy. The organization should clearly distinguish mainstream topics inherent in every basic level statistics course, irrespective of applied interests, from topics of special interest to particular audience segments. The computation dimension should not be given equal billing with statistical principles and ideas. Statistics is the master and, important as it is, the computation tool is the servant. Exercises to provoke-thought - exercise the little grey cells, as Hercule Poirot would put it - should be a prominent part of the exposition. Exercise banks to help the student see statistics as a whole are important.
Download or read book Finite Mathematics Models and Structure written by William J. Adams and published by Xlibris Corporation. This book was released on 2009-02-16 with total page 619 pages. Available in PDF, EPUB and Kindle. Book excerpt: Still another book on finite math? Why? Hasnt everything that should have been said been said? No, I would argue. The shortcoming that troubles me most about the books I am familiar with is their failure to provide perspective on what math technique and the use of technology can do for us and its limitations. This can only be addressed through vigorous and sustained use of the mathematical modeling perspective, which is a hallmark of this books exposition. A point continually stressed is that reaching a mathematical answer to a problem is not the end of the story. It is in a sense the end of a chapter, but the next chapter is concerned with questions about whether and how the mathematical answer should be implemented. Also addressed is the question of what to consider when more than one answer is obtained for a problem.
Download or read book Statistics for Research written by Shirley Dowdy and published by John Wiley & Sons. This book was released on 2011-09-26 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the Second Edition "Statistics for Research has other fine qualities besides superior organization. The examples and the statistical methods are laid out with unusual clarity by the simple device of using special formats for each. The book was written with great care and is extremely user-friendly."—The UMAP Journal Although the goals and procedures of statistical research have changed little since the Second Edition of Statistics for Research was published, the almost universal availability of personal computers and statistical computing application packages have made it possible for today's statisticians to do more in less time than ever before. The Third Edition of this bestselling text reflects how the changes in the computing environment have transformed the way statistical analyses are performed today. Based on extensive input from university statistics departments throughout the country, the authors have made several important and timely revisions, including: Additional material on probability appears early in the text New sections on odds ratios, ratio and difference estimations, repeated measure analysis, and logistic regression New examples and exercises, many from the field of the health sciences Printouts of computer analyses on all complex procedures An accompanying Web site illustrating how to use SAS® and JMP® for all procedures The text features the most commonly used statistical techniques for the analysis of research data. As in the earlier editions, emphasis is placed on how to select the proper statistical procedure and how to interpret results. Whenever possible, to avoid using the computer as a "black box" that performs a mysterious process on the data, actual computational procedures are also given. A must for scientists who analyze data, professionals and researchers who need a self-teaching text, and graduate students in statistical methods, Statistics for Research, Third Edition brings the methodology up to date in a very practical and accessible way.
Download or read book Statistical Inference via Data Science A ModernDive into R and the Tidyverse written by Chester Ismay and published by CRC Press. This book was released on 2019-12-23 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical Inference via Data Science: A ModernDive into R and the Tidyverse provides a pathway for learning about statistical inference using data science tools widely used in industry, academia, and government. It introduces the tidyverse suite of R packages, including the ggplot2 package for data visualization, and the dplyr package for data wrangling. After equipping readers with just enough of these data science tools to perform effective exploratory data analyses, the book covers traditional introductory statistics topics like confidence intervals, hypothesis testing, and multiple regression modeling, while focusing on visualization throughout. Features: ● Assumes minimal prerequisites, notably, no prior calculus nor coding experience ● Motivates theory using real-world data, including all domestic flights leaving New York City in 2013, the Gapminder project, and the data journalism website, FiveThirtyEight.com ● Centers on simulation-based approaches to statistical inference rather than mathematical formulas ● Uses the infer package for "tidy" and transparent statistical inference to construct confidence intervals and conduct hypothesis tests via the bootstrap and permutation methods ● Provides all code and output embedded directly in the text; also available in the online version at moderndive.com This book is intended for individuals who would like to simultaneously start developing their data science toolbox and start learning about the inferential and modeling tools used in much of modern-day research. The book can be used in methods and data science courses and first courses in statistics, at both the undergraduate and graduate levels.
Download or read book The Scientific Legacy of Poincare written by Éric Charpentier and published by American Mathematical Soc.. This book was released on 2010 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Henri Poincare (1854-1912) was one of the greatest scientists of his time, perhaps the last one to have mastered and expanded almost all areas in mathematics and theoretical physics. In this book, twenty world experts present one part of Poincare's extraordinary work. Each chapter treats one theme, presenting Poincare's approach, and achievements.
Download or read book Stochastic Modeling and Mathematical Statistics written by Francisco J. Samaniego and published by CRC Press. This book was released on 2014-01-14 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a Solid Foundation for Statistical Modeling and Inference and Demonstrates Its Breadth of Applicability Stochastic Modeling and Mathematical Statistics: A Text for Statisticians and Quantitative Scientists addresses core issues in post-calculus probability and statistics in a way that is useful for statistics and mathematics majors as well
Download or read book Who Gave You the Epsilon written by Marlow Anderson and published by MAA. This book was released on 2009-03-31 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book picks up the history of mathematics from where Sherlock Holmes in Babylon left it. The 40 articles of Who Gave You the Epsilon? continue the story of the development of mathematics into the nineteenth and twentieth centuries. The articles have all been published in the Mathematical Association of America journals and are in many cases written by distinguished mathematicians such as G. H. Hardy and B. van der Waerden. The articles are arranged thematically to show the development of analysis, geometry, algebra and number theory through this period of time. Each chapter is preceded by a foreword, giving the historical background and setting and the scene, and is followed by an afterword, reporting on advances in our historical knowledge and understanding since the articles first appeared. This book is ideal for anyone wanting to explore the history of mathematics.
Download or read book Number Theory written by W.A. Coppel and published by Springer Science & Business Media. This book was released on 2006-06-15 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume book is a modern introduction to the theory of numbers, emphasizing its connections with other branches of mathematics. Part A is accessible to first-year undergraduates and deals with elementary number theory. Part B is more advanced and gives the reader an idea of the scope of mathematics today. The connecting theme is the theory of numbers. By exploring its many connections with other branches a broad picture is obtained. The book contains a treasury of proofs, several of which are gems seldom seen in number theory books.
Download or read book Symmetry and Its Discontents written by S. L. Zabell and published by Cambridge University Press. This book was released on 2005-06-06 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume brings together a collection of essays on the history and philosophy of probability and statistics by one of the eminent scholars in these subjects. Written over the last fifteen years, they fall into three broad categories. The first deals with the use of symmetry arguments in inductive probability, in particular, their use in deriving rules of succession. The second group deals with three outstanding individuals who made lasting contributions to probability and statistics in very different ways: Frank Ramsey, R.A. Fisher, Alan Turing, and Abraham de Moivre. The last group of essays deals with the problem of "predicting the unpredictable."
Download or read book Naked Statistics Stripping the Dread from the Data written by Charles Wheelan and published by W. W. Norton & Company. This book was released on 2013-01-07 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: A New York Times bestseller "Brilliant, funny…the best math teacher you never had." —San Francisco Chronicle Once considered tedious, the field of statistics is rapidly evolving into a discipline Hal Varian, chief economist at Google, has actually called "sexy." From batting averages and political polls to game shows and medical research, the real-world application of statistics continues to grow by leaps and bounds. How can we catch schools that cheat on standardized tests? How does Netflix know which movies you’ll like? What is causing the rising incidence of autism? As best-selling author Charles Wheelan shows us in Naked Statistics, the right data and a few well-chosen statistical tools can help us answer these questions and more. For those who slept through Stats 101, this book is a lifesaver. Wheelan strips away the arcane and technical details and focuses on the underlying intuition that drives statistical analysis. He clarifies key concepts such as inference, correlation, and regression analysis, reveals how biased or careless parties can manipulate or misrepresent data, and shows us how brilliant and creative researchers are exploiting the valuable data from natural experiments to tackle thorny questions. And in Wheelan’s trademark style, there’s not a dull page in sight. You’ll encounter clever Schlitz Beer marketers leveraging basic probability, an International Sausage Festival illuminating the tenets of the central limit theorem, and a head-scratching choice from the famous game show Let’s Make a Deal—and you’ll come away with insights each time. With the wit, accessibility, and sheer fun that turned Naked Economics into a bestseller, Wheelan defies the odds yet again by bringing another essential, formerly unglamorous discipline to life.
Download or read book Introductory Statistics 2e hardcover Full Color written by Barbara Illowsky and published by . This book was released on 2023-12-14 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Book Publication Date: Dec 13, 2023. Full color. Introductory Statistics 2e provides an engaging, practical, and thorough overview of the core concepts and skills taught in most one-semester statistics courses. The text focuses on diverse applications from a variety of fields and societal contexts, including business, healthcare, sciences, sociology, political science, computing, and several others. The material supports students with conceptual narratives, detailed step-by-step examples, and a wealth of illustrations, as well as collaborative exercises, technology integration problems, and statistics labs. The text assumes some knowledge of intermediate algebra, and includes thousands of problems and exercises that offer instructors and students ample opportunity to explore and reinforce useful statistical skills.
