Download or read book Normal Approximation and Asymptotic Expansions written by Rabi N. Bhattacharya and published by SIAM. This book was released on 2010-11-11 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: -Fourier analysis, --
Download or read book Normal Approximation by Stein s Method written by Louis H.Y. Chen and published by Springer Science & Business Media. This book was released on 2010-10-13 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since its introduction in 1972, Stein’s method has offered a completely novel way of evaluating the quality of normal approximations. Through its characterizing equation approach, it is able to provide approximation error bounds in a wide variety of situations, even in the presence of complicated dependence. Use of the method thus opens the door to the analysis of random phenomena arising in areas including statistics, physics, and molecular biology. Though Stein's method for normal approximation is now mature, the literature has so far lacked a complete self contained treatment. This volume contains thorough coverage of the method’s fundamentals, includes a large number of recent developments in both theory and applications, and will help accelerate the appreciation, understanding, and use of Stein's method by providing the reader with the tools needed to apply it in new situations. It addresses researchers as well as graduate students in Probability, Statistics and Combinatorics.
Download or read book Normal Approximations with Malliavin Calculus written by Ivan Nourdin and published by Cambridge University Press. This book was released on 2012-05-10 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book shows how quantitative central limit theorems can be deduced by combining two powerful probabilistic techniques: Stein's method and Malliavin calculus.
Download or read book Normal Approximation written by Vladimir V. Senatov and published by Walter de Gruyter. This book was released on 2011-09-08 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is devoted to the publication of high-level monographs and surveys which cover the whole spectrum of probability and statistics. The books of the series are addressed to both experts and advanced students.
Download or read book An Introduction to Stein s Method written by A. D. Barbour and published by World Scientific. This book was released on 2005 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: A common theme in probability theory is the approximation of complicated probability distributions by simpler ones, the central limit theorem being a classical example. Stein's method is a tool which makes this possible in a wide variety of situations. Traditional approaches, for example using Fourier analysis, become awkward to carry through in situations in which dependence plays an important part, whereas Stein's method can often still be applied to great effect. In addition, the method delivers estimates for the error in the approximation, and not just a proof of convergence. Nor is there in principle any restriction on the distribution to be approximated; it can equally well be normal, or Poisson, or that of the whole path of a random process, though the techniques have so far been worked out in much more detail for the classical approximation theorems.This volume of lecture notes provides a detailed introduction to the theory and application of Stein's method, in a form suitable for graduate students who want to acquaint themselves with the method. It includes chapters treating normal, Poisson and compound Poisson approximation, approximation by Poisson processes, and approximation by an arbitrary distribution, written by experts in the different fields. The lectures take the reader from the very basics of Stein's method to the limits of current knowledge.
Download or read book Selected Tables in Mathematical Statistics written by Institute of Mathematical Statistics and published by American Mathematical Soc.. This book was released on 1970 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book Series Approximation Methods in Statistics written by John E. Kolassa and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book was originally compiled for a course I taught at the University of Rochester in the fall of 1991, and is intended to give advanced graduate students in statistics an introduction to Edgeworth and saddlepoint approximations, and related techniques. Many other authors have also written monographs on this subject, and so this work is narrowly focused on two areas not recently discussed in theoretical text books. These areas are, first, a rigorous consideration of Edgeworth and saddlepoint expansion limit theorems, and second, a survey of the more recent developments in the field. In presenting expansion limit theorems I have drawn heavily 011 notation of McCullagh (1987) and on the theorems presented by Feller (1971) on Edgeworth expansions. For saddlepoint notation and results I relied most heavily on the many papers of Daniels, and a review paper by Reid (1988). Throughout this book I have tried to maintain consistent notation and to present theorems in such a way as to make a few theoretical results useful in as many contexts as possible. This was not only in order to present as many results with as few proofs as possible, but more importantly to show the interconnections between the various facets of asymptotic theory. Special attention is paid to regularity conditions. The reasons they are needed and the parts they play in the proofs are both highlighted.
Download or read book Normal Approximation Some Recent Advances written by V.V. Sazonov and published by Springer. This book was released on 2006-11-14 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Normal Approximation New Results Methods and Problems Modern Probability and Statistics written by V. V. Senatov and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Introduction to Statistics and Econometrics written by Takeshi Amemiya and published by Harvard University Press. This book was released on 1994 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comic Amy Schumer performs a stand-up set in San Francisco devoted to various aspects of her sex life and her feelings about her own body. ~ Perry Seibert, Rovi
Download or read book An Introduction to Probability and Statistics written by Dr. Arun Kaushik & Dr. Rajwant K. Singh and published by K.K. Publications. This book was released on 2021-09-09 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Probability and Statistics An Introduction to Probability and Statistics, First Edition, guides the readers through basic probability and statistical methods along with graphs and tables and helps to analyse critically about various basic concepts. Written by two friends i.e. Dr. Arun Kaushik and Dr. Rajwant K. Singh, this book introduces readers with no or very little prior knowledge in probability or statistics to a thinking process to help them obtain the best solution to a posed situation. It provides lots of examples for each topic discussed, and examples are covered from the medical field giving the reader more exposure in applying statistical methods to different situations. This text contains an enhanced number of exercises and graphical illustrations to motivate the readers and demonstrate the applicability of probability and statistical inference in a vast variety of human activities. Each section includes relevant proofs where ever need arises, followed by exercises with some useful clues to their solutions. Furthermore, if the need arises then the detailed solutions to all exercises will be provided in near future in an Answers Manual. This text will appeal to advanced undergraduate and graduate students, as well as researchers and practitioners in engineering, medical sciences, business, social sciences or agriculture. The material discussed in this book is enough for undergraduate and graduate courses. It consists of 5 chapters. Chapter 1 is devoted to the basic concept of probability. Chapters 2 and 3 deal with the concept of a random variable and its distribution and related topics. Chapters 4 and 5 presents an overview of statistical inference, discuss the standard topics of parametric statistical inference, namely, point estimation, interval estimation and testing hypotheses.
Download or read book Mathematical Statistics written by George R. Terrell and published by Springer Science & Business Media. This book was released on 2006-04-06 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook introduces the mathematical concepts and methods that underlie statistics. The course is unified, in the sense that no prior knowledge of probability theory is assumed, being developed as needed. The book is committed to both a high level of mathematical seriousness and to an intimate connection with application. In its teaching style, the book is * mathematically complete * concrete * constructive * active. The text is aimed at the upper undergraduate or the beginning Masters program level. It assumes the usual two-year college mathematics sequence, including an introduction to multiple integrals, matrix algebra, and infinite series.
Download or read book Statistics 1001 Practice Problems For Dummies Free Online Practice written by The Experts at Dummies and published by John Wiley & Sons. This book was released on 2022-04-19 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: Become more likely to succeed—gain stats mastery with Dummies Statistics: 1001 Practice Problems For Dummies gives you 1,001 opportunities to practice solving problems from all the major topics covered in Statistics classes—in the book and online! Get extra help with tricky subjects, solidify what you’ve already learned, and get in-depth walk-throughs for every problem with this useful book. These practice problems and detailed answer explanations will help you gain a valuable working knowledge of statistics, no matter what your skill level. Thanks to Dummies, you have a resource to help you put key stats concepts into practice. Work through practice problems on all Statistics topics covered in school classes Read through detailed explanations of the answers to build your understanding Access practice questions online to study anywhere, any time Improve your grade and up your study game with practice, practice, practice The material presented in Statistics: 1001 Practice Problems For Dummies is an excellent resource for students, as well as parents and tutors looking to help supplement Statistics instruction. Statistics: 1001 Practice Problems For Dummies (9781119883593) was previously published as 1,001 Statistics Practice Problems For Dummies (9781118776049). While this version features a new Dummies cover and design, the content is the same as the prior release and should not be considered a new or updated product.
Download or read book Quantitative Methods in Aviation Management written by Tony Webber and published by Cambridge Scholars Publishing. This book was released on 2023-01-24 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book applies tried and trusted statistical and analytical tools to aviation applications. It is written for aviation analysts and management who must extract actionable insights from large volumes of data and need the right statistical and analytical methods to do so. It will also appeal to undergraduate and postgraduate students of aviation management, who will require an understanding of statistical and analytical methods when they begin their career in aviation and are awash with large volumes of data through which they must wade. For aviation analysts, managers and students to implement the techniques that are being presented in this book, they must be combined with the right software. It is for this reason that readers are taught how to use up to 40 Microsoft Excel functions to implement many of the techniques, and they are also introduced to the econometrics software Eviews.
Download or read book National Vital Statistics Reports written by and published by . This book was released on 2004 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Business Statistics written by Bajpai, Naval and published by Pearson Education India. This book was released on 2009 with total page 825 pages. Available in PDF, EPUB and Kindle. Book excerpt: Business Statistics offers readers a foundation in core statistical concepts using a perfect blend of theory and practical application. This book presents business statistics as value added tools in the process of converting data into useful information. The step-by-step approach used to discuss three main statistical software applications, MS Excel, Minitab, and SPSS, which are critical tools for decision making in the business world, makes this book extremely user friendly. This book is highly relevant for students and practising managers.
