Mathematical Statistics Download Ebook PDF Epub Online

Author : Jun Shao
Publisher : Springer Science & Business Media
Release : 2006-06-26
Page : 360
Category : Mathematics
ISBN 13 : 0387282769
Description :


The exercises are grouped into seven chapters with titles matching those in the author's Mathematical Statistics. Can also be used as a stand-alone because exercises and solutions are comprehensible independently of their source, and notation and terminology are explained in the front of the book. Suitable for self-study for a statistics Ph.D. qualifying exam.


Author : A. A. Borokov
Publisher :
Release : 2018
Page :
Category : MATHEMATICS
ISBN 13 : 9780203749326
Description :



Author : Keith Knight
Publisher : Chapman and Hall/CRC
Release : 1999-11-24
Page : 504
Category : Mathematics
ISBN 13 : 9781584881780
Description :


Traditional texts in mathematical statistics can seem - to some readers-heavily weighted with optimality theory of the various flavors developed in the 1940s and50s, and not particularly relevant to statistical practice. Mathematical Statistics stands apart from these treatments. While mathematically rigorous, its focus is on providing a set of useful tools that allow students to understand the theoretical underpinnings of statistical methodology. The author concentrates on inferential procedures within the framework of parametric models, but - acknowledging that models are often incorrectly specified - he also views estimation from a non-parametric perspective. Overall, Mathematical Statistics places greater emphasis on frequentist methodology than on Bayesian, but claims no particular superiority for that approach. It does emphasize, however, the utility of statistical and mathematical software packages, and includes several sections addressing computational issues. The result reaches beyond "nice" mathematics to provide a balanced, practical text that brings life and relevance to a subject so often perceived as irrelevant and dry.


Author : Brian Albright
Publisher : Jones & Bartlett Publishers
Release : 2013-02-19
Page : 594
Category : Mathematics
ISBN 13 : 144968534X
Description :


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.


Author : Jay L. Devore
Kenneth N. Berk
Publisher : Springer Science & Business Media
Release : 2011-12-07
Page : 845
Category : Mathematics
ISBN 13 : 146140391X
Description :


Modern Mathematical Statistics with Applications, Second Edition strikes a balance between mathematical foundations and statistical practice. In keeping with the recommendation that every math student should study statistics and probability with an emphasis on data analysis, accomplished authors Jay Devore and Kenneth Berk make statistical concepts and methods clear and relevant through careful explanations and a broad range of applications involving real data. The main focus of the book is on presenting and illustrating methods of inferential statistics that are useful in research. It begins with a chapter on descriptive statistics that immediately exposes the reader to real data. The next six chapters develop the probability material that bridges the gap between descriptive and inferential statistics. Point estimation, inferences based on statistical intervals, and hypothesis testing are then introduced in the next three chapters. The remainder of the book explores the use of this methodology in a variety of more complex settings. This edition includes a plethora of new exercises, a number of which are similar to what would be encountered on the actuarial exams that cover probability and statistics. Representative applications include investigating whether the average tip percentage in a particular restaurant exceeds the standard 15%, considering whether the flavor and aroma of Champagne are affected by bottle temperature or type of pour, modeling the relationship between college graduation rate and average SAT score, and assessing the likelihood of O-ring failure in space shuttle launches as related to launch temperature.


Author : Harald Cramér
Publisher : Princeton University Press
Release : 1999-04-12
Page : 575
Category : Mathematics
ISBN 13 : 0691005478
Description :


In this classic of statistical mathematical theory, Harald Cramér joins the two major lines of development in the field: while British and American statisticians were developing the science of statistical inference, French and Russian probabilitists transformed the classical calculus of probability into a rigorous and pure mathematical theory. The result of Cramér's work is a masterly exposition of the mathematical methods of modern statistics that set the standard that others have since sought to follow. For anyone with a working knowledge of undergraduate mathematics the book is self contained. The first part is an introduction to the fundamental concept of a distribution and of integration with respect to a distribution. The second part contains the general theory of random variables and probability distributions while the third is devoted to the theory of sampling, statistical estimation, and tests of significance.


Author : Hung T. Nguyen
Gerald S. Rogers
Publisher : Springer
Release : 2011-10-21
Page : 422
Category : Mathematics
ISBN 13 : 9781461389163
Description :


This is a text (divided into two volumes) for a two semester course in Mathematical Statistics at the Senior/Graduate level. The two main pedagogical aspects in these Volumes are: (i) the material is designed in lessons (each for a 50 minute class) with complementary exercises and home work. (ii) although the material is traditional, great care is exerted upon self-contained, rigorous and complete presentations. An elementary introduction to characteristic functions and probability measures and intergration, but not general measure theory in Volume I, allows a complete proof of some central limit theorems and a rigorous treatment of asymptotic of statistical inference. But students need to be familiar only with such things as Jacobians and eigenvalues of matrices. Volume II: Statistical Inference is designed for the second semester and contains a rigorous introduction to Mathematical Statistics, from random samples to asymptotic theory of statistical inference.


Author : Dennis Wackerly
William Mendenhall
Publisher : Cengage Learning
Release : 2014-10-27
Page : 944
Category : Mathematics
ISBN 13 : 9780495110811
Description :


In their bestselling MATHEMATICAL STATISTICS WITH APPLICATIONS, premiere authors Dennis Wackerly, William Mendenhall, and Richard L. Scheaffer present a solid foundation in statistical theory while conveying the relevance and importance of the theory in solving practical problems in the real world. The authors' use of practical applications and excellent exercises helps students discover the nature of statistics and understand its essential role in scientific research. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.


Author : Dieter Rasch
Dieter Schott
Publisher : John Wiley & Sons
Release : 2018-03-19
Page : 688
Category : Mathematics
ISBN 13 : 1119385288
Description :


This book requires knowledge of probability theory (combinatorics, probability distributions, functions and sequences of random variables) which is typically taught in the earlier semesters of scientific and mathematical study courses. After the basic ideas of mathematical statistics, Mathematical Statistics gives an introduction to point estimation, confidence intervals and statistical tests. Based on the general theory of linear models, the book provides an in-depth overview of the following: Analysis of variance for models with fixed, random and mixed effects Regression analysis is also first presented for linear models with fixed, random and mixed effects before being expanded to nonlinear models. Statistical multi-decision problems like statistical selection procedures (Bechhofer and Gupta) and sequential tests Design of experiments from a mathematical-statistical point of view. The chapters also contain exercises with hints for solutions.


Author : Keith Knight
Publisher : CRC Press
Release : 1999-11-24
Page : 504
Category : Mathematics
ISBN 13 : 9781584888567
Description :


Traditional texts in mathematical statistics can seem - to some readers-heavily weighted with optimality theory of the various flavors developed in the 1940s and50s, and not particularly relevant to statistical practice. Mathematical Statistics stands apart from these treatments. While mathematically rigorous, its focus is on providing a set of useful tools that allow students to understand the theoretical underpinnings of statistical methodology. The author concentrates on inferential procedures within the framework of parametric models, but - acknowledging that models are often incorrectly specified - he also views estimation from a non-parametric perspective. Overall, Mathematical Statistics places greater emphasis on frequentist methodology than on Bayesian, but claims no particular superiority for that approach. It does emphasize, however, the utility of statistical and mathematical software packages, and includes several sections addressing computational issues. The result reaches beyond "nice" mathematics to provide a balanced, practical text that brings life and relevance to a subject so often perceived as irrelevant and dry.


Author : Paul Gerhard Hoel
Paul G. Hoel
Publisher : John Wiley & Sons Incorporated
Release : 1984-01-31
Page : 435
Category : Mathematics
ISBN 13 :
Description :


A balanced presentation of both theoretical and applied material with numerous problem sets to illustrate important concepts. Demonstrates the use of computers and calculators to facilitate problem solving, as well as numerous applications to illustrate basic theory.


Author : Wilfried Grossmann
J. Mogyoródi
Publisher : Springer Science & Business Media
Release : 1988-02-29
Page : 458
Category : Mathematics
ISBN 13 : 9789027725479
Description :


Proceedings of the 5th Pannonian Symposium, Visegrad, Hungary, May 20-24, 1985


Author : Francisco J. Samaniego
Publisher : CRC Press
Release : 2014-01-14
Page : 622
Category : Mathematics
ISBN 13 : 1466560460
Description :


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 as students in the quantitative sciences. The book’s conversational tone, which provides the mathematical justification behind widely used statistical methods in a reader-friendly manner, and the book’s many examples, tutorials, exercises and problems for solution, together constitute an effective resource that students can read and learn from and instructors can count on as a worthy complement to their lectures. Using classroom-tested approaches that engage students in active learning, the text offers instructors the flexibility to control the mathematical level of their course. It contains the mathematical detail that is expected in a course for "majors" but is written in a way that emphasizes the intuitive content in statistical theory and the way theoretical results are used in practice. More than 1000 exercises and problems at varying levels of difficulty and with a broad range of topical focus give instructors many options in assigning homework and provide students with many problems on which to practice and from which to learn.


Author : Bartel Leendert van der Waerden
Publisher : Springer
Release : 2013-11-20
Page : 371
Category : Mathematics
ISBN 13 : 9783662221396
Description :


Ever since my days as a student, economists, doctors, physiologists, biologists, and engineers have come to me with queries of a statistical nature. This book is the product of my long interest in practical solutions to such problems. Study of the literature and my own ideas have repeat edly led me to improved methods, which will be established here and applied to instructive examples taken from the natural and social sciences. Thus, I hope to help the reader avoid the many fruitless direc tions in which I worked at first. The examples are not artificially con structed from theoretical considerations but are instead taken from real situations; consequently, many of the examples require detailed explana tion. The presentation of the basic mathematical concepts is, I hope, as brief as possible without becoming incomprehensible. Some rather long theoretical arguments have been necessary, but, whenever possible, references for the more difficult proofs have been made to good text books already in existence. There would be no point in developing again the mathematical theories which have been presented clearly and in detail by Kolmogorov, Caratheodory, and Cramer.


Author : Dennis D. Wackerly
William Mendenhall
Publisher : Cengage Learning
Release : 2008
Page : 912
Category : Matematisk statistik
ISBN 13 : 9780495385080
Description :


The authors present the theory of statistics in the context of practical problem solving and real world applications. This practical approach helps you discover the nature of statistics and comprehend its essential role in scientific research.--


Author : Jun Shao
Publisher : Springer Science & Business Media
Release : 2008-02-03
Page : 592
Category : Mathematics
ISBN 13 : 0387217185
Description :


This graduate textbook covers topics in statistical theory essential for graduate students preparing for work on a Ph.D. degree in statistics. This new edition has been revised and updated and in this fourth printing, errors have been ironed out. The first chapter provides a quick overview of concepts and results in measure-theoretic probability theory that are useful in statistics. The second chapter introduces some fundamental concepts in statistical decision theory and inference. Subsequent chapters contain detailed studies on some important topics: unbiased estimation, parametric estimation, nonparametric estimation, hypothesis testing, and confidence sets. A large number of exercises in each chapter provide not only practice problems for students, but also many additional results.


Author : Harman Leon Harter
Institute of Mathematical Statistics
Publisher : American Mathematical Soc.
Release : 1973
Page : 403
Category : Mathematics
ISBN 13 : 9780821819012
Description :


Tables of the cumulative non-central chi-square distribution. Tables of the exact sampling distribution of the two-sample. Critical value and probability levels for the wilcoxon rank sum test and wilcoxon. The null distribution of the first three product-moment statistics for exponential, half-gamma, and normal scores. Tables to facilitate the use of orthogonal polynomials for two types of error structures.


Author : Wiebe R. Pestman
Ivo B. Alberink
Publisher : Walter de Gruyter
Release : 1998-01-01
Page : 334
Category : Mathematics
ISBN 13 : 3110809346
Description :



Author : G.P. Beaumont
Publisher : Springer Science & Business Media
Release : 2012-12-06
Page : 250
Category : Juvenile Nonfiction
ISBN 13 : 9400957947
Description :


This book covers those basic topics which usually form the core of intermediate courses in statistical theory; it is largely about estima tion and hypothesis testing. It is intended for undergraduates following courses in statistics but is also suitable preparatory read ing for some postgraduate courses. It is assumed that the reader has completed an introductory course which covered probability, random variables, moments and the sampling distributions. The level of mathematics required does not go beyond first year calculus. In case the reader has not acquired much facility in handling matrices, the results in least squares estimation are first obtained directly and then given an (optional) matrix formulation. If techniques for changing from one set of variables to another have not been met, then the appendix on these topics should be studied first. The same appendix contains essential discussion of the order statistics which are frequently used for illustrative purposes. Introductory courses usually include the elements of hypothesis testing and of point and interval estimation though the treatment must perforce become rather thin since at that stage it is difficult to provide adequate justifications for some procedures-plausible though they may seem. This text discusses these important topics in considerable detail, starting from scratch. The level is nowhere advanced and proofs of asymptotic results are omitted. Methods deriving from the Bayesian point of view are gradually introduced and alternate with the more usual techniques.


Author : Kandethody M. Ramachandran
Chris P. Tsokos
Publisher : Academic Press
Release : 2020-06-17
Page : 704
Category : Mathematics
ISBN 13 : 9780128178157
Description :


Mathematical Statistics with Applications in R, Third Edition, offers a modern calculus-based theoretical introduction to mathematical statistics and applications. The book covers many modern statistical computational and simulation concepts that are not covered in other texts, such as the Jackknife, bootstrap methods, the EM algorithms, and Markov chain Monte Carlo (MCMC) methods, such as the Metropolis algorithm, Metropolis-Hastings algorithm and the Gibbs sampler. By combining discussion on the theory of statistics with a wealth of real-world applications, the book helps students to approach statistical problem-solving in a logical manner. Step-by-step procedure to solve real problems make the topics very accessible. Presents step-by-step procedures to solve real problems, making each topic more accessible Provides updated application exercises in each chapter, blending theory and modern methods with the use of R Includes new chapters on Categorical Data Analysis and Extreme Value Theory with Applications Wide array coverage of ANOVA, Nonparametric, Bayesian and empirical methods