An Introduction to Mathematical Statistics and Its Applications

Author: Richard J. Larsen
Publisher: Pearson
ISBN: 9780134114248
Release Date: 2017-10-24
Genre: Mathematics

This is the eBook of the printed book and may not include any media, website access codes, or print supplements that may come packaged with the bound book. For courses in Mathematical Statistics Introducing the principles of statistics and data modeling Introduction to Mathematical Statistics and Its Applications , 6th Edition is a high-level calculus student’s first exposure to mathematical statistics. This book provides students who have already taken three or more semesters of calculus with the background to apply statistical principles. Meaty enough to guide a two-semester course, the book touches on both statistics and experimental design, which teaches students various ways to analyze data. It gives computational-minded students a necessary and realistic exposure to identifying data models.

An Introduction to Mathematical Statistics and Its Applications

Author: Richard J. Larsen
Publisher: Pearson College Division
ISBN: 0139223037
Release Date: 2001
Genre: Mathematics

Using high-quality, real-world case studies and examples, this introduction to mathematical statistics shows how to use statistical methods and when to use them. This book can be used as a brief introduction to design of experiments. This successful, calculus-based book of probability and statistics, was one of the first to make real-world applications an integral part of motivating discussion. The number of problem sets has increased in all sections. Some sections include almost 50% new problems, while the most popular case studies remain. For anyone needing to develop proficiency with Mathematical Statistics.

Statistics for Engineering and the Sciences

Author: William M. Mendenhall
Publisher: CRC Press
ISBN: 9781498728874
Release Date: 2016-04-05
Genre: Mathematics

Prepare Your Students for Statistical Work in the Real World Statistics for Engineering and the Sciences, Sixth Edition is designed for a two-semester introductory course on statistics for students majoring in engineering or any of the physical sciences. This popular text continues to teach students the basic concepts of data description and statistical inference as well as the statistical methods necessary for real-world applications. Students will understand how to collect and analyze data and think critically about the results. New to the Sixth Edition Many new and updated exercises based on contemporary engineering and scientific-related studies and real data More statistical software printouts and corresponding instructions for use that reflect the latest versions of the SAS, SPSS, and MINITAB software Introduction of the case studies at the beginning of each chapter Streamlined material on all basic sampling concepts, such as random sampling and sample survey designs, which gives students an earlier introduction to key sampling issues New examples on comparing matched pairs versus independent samples, selecting the sample size for a designed experiment, and analyzing a two-factor experiment with quantitative factors New section on using regression residuals to check the assumptions required in a simple linear regression analysis The first several chapters of the book identify the objectives of statistics, explain how to describe data, and present the basic concepts of probability. The text then introduces the two methods for making inferences about population parameters: estimation with confidence intervals and hypothesis testing. The remaining chapters extend these concepts to cover other topics useful in analyzing engineering and scientific data, including the analysis of categorical data, regression analysis, model building, analysis of variance for designed experiments, nonparametric statistics, statistical quality control, and product and system reliability.

Statistics for Engineering and the Sciences

Author: William Mendenhall
Publisher: Prentice Hall
ISBN: STANFORD:36105128316416
Release Date: 2007
Genre: Mathematics

This text is designed for a two-semester introductory course in statistics for students majoring in engineering or any of the physical sciences. Inevitably, once these students graduate and are employed, they will be involved in the collection and analysis of data and will be required to think critically about the results. Consequently, they need to acquire knowledge of the basic concepts of data description and statistical inference and familiarity with statistical methods they are required to use on the job.

Mathematical Statistics with Applications

Author: Kandethody M. Ramachandran
Publisher: Academic Press
ISBN: 0080951708
Release Date: 2009-03-13
Genre: Mathematics

Mathematical Statistics with Applications provides a calculus-based theoretical introduction to mathematical statistics while emphasizing interdisciplinary applications as well as exposure to modern statistical computational and simulation concepts that are not covered in other textbooks. Includes the Jackknife, Bootstrap methods, the EM algorithms and Markov chain Monte Carlo methods. Prior probability or statistics knowledge is not required. Step-by-step procedure to solve real problems, making the topic more accessible Exercises blend theory and modern applications Practical, real-world chapter projects Provides an optional section in each chapter on using Minitab, SPSS and SAS commands


Author: James T. McClave
Publisher: Prentice Hall
ISBN: UCSC:32106019569513
Release Date: 2009
Genre: Mathematics

KEY MESSAGE: The Eleventh Edition of this highly-regarded introductory text emphasizes inference and sound decision-making through its extensive coverage of data collection and analysis. McClave develops statistical thinking and teaches readers to properly assess the credibility of inferences-from the vantage point of both the consumer and the producer. This edition incorporates more exercises and more visual features, such as redesigned end-of-chapter summaries and an increased use of applets. This text assumes a mathematical background of basic algebra. KEY TOPICS: Statistics, Data, and Statistical Thinking; Methods for Describing Sets of Data; Probability; Discrete Random Variables; Continuous Random Variables; Sampling Distributions; Inferences Based on a Single Sample: Estimation with Confidence Intervals; Inferences Based on a Single Sample: Tests of Hypothesis; Inferences Based on a Two Samples: Confidence Intervals and Tests of Hypotheses; Analysis of Variance: Comparing More Than Two Means; Simple Linear Regression; Multiple Regression and Model Building; Categorical Data Analysis; Nonparametric Statistics MARKET: For all readers interested in statistics.

Basic Probability Theory with Applications

Author: Mario Lefebvre
Publisher: Springer Science & Business Media
ISBN: 9780387749952
Release Date: 2009-10-03
Genre: Mathematics

The main intended audience for this book is undergraduate students in pure and applied sciences, especially those in engineering. Chapters 2 to 4 cover the probability theory they generally need in their training. Although the treatment of the subject is surely su?cient for non-mathematicians, I intentionally avoided getting too much into detail. For instance, topics such as mixed type random variables and the Dirac delta function are only brie?y mentioned. Courses on probability theory are often considered di?cult. However, after having taught this subject for many years, I have come to the conclusion that one of the biggest problems that the students face when they try to learn probability theory, particularly nowadays, is their de?ciencies in basic di?erential and integral calculus. Integration by parts, for example, is often already forgotten by the students when they take a course on probability. For this reason, I have decided to write a chapter reviewing the basic elements of di?erential calculus. Even though this chapter might not be covered in class, the students can refer to it when needed. In this chapter, an e?ort was made to give the readers a good idea of the use in probability theory of the concepts they should already know. Chapter 2 presents the main results of what is known as elementary probability, including Bayes’ rule and elements of combinatorial analysis.


Author: John J. Kinney
Publisher: John Wiley & Sons
ISBN: 9781118947104
Release Date: 2015-01-13
Genre: Mathematics

Praise for the First Edition "This is a well-written and impressively presentedintroduction to probability and statistics. The text throughout ishighly readable, and the author makes liberal use of graphs anddiagrams to clarify the theory." - The Statistician Thoroughly updated, Probability: An Introduction withStatistical Applications, Second Edition features acomprehensive exploration of statistical data analysis as anapplication of probability. The new edition provides anintroduction to statistics with accessible coverage of reliability,acceptance sampling, confidence intervals, hypothesis testing, andsimple linear regression. Encouraging readers to develop a deeperintuitive understanding of probability, the author presentsillustrative geometrical presentations and arguments without theneed for rigorous mathematical proofs. The Second Edition features interesting and practicalexamples from a variety of engineering and scientific fields, aswell as: Over 880 problems at varying degrees of difficulty allowingreaders to take on more challenging problems as their skill levelsincrease Chapter-by-chapter projects that aid in the visualization ofprobability distributions New coverage of statistical quality control and qualityproduction An appendix dedicated to the use ofMathematica® and a companion website containing thereferenced data sets Featuring a practical and real-world approach, this textbook isideal for a first course in probability for students majoring instatistics, engineering, business, psychology, operations research,and mathematics. Probability: An Introduction with StatisticalApplications, Second Edition is also an excellent reference forresearchers and professionals in any discipline who need to makedecisions based on data as well as readers interested in learninghow to accomplish effective decision making from data.

Probability and Finance

Author: Glenn Shafer
Publisher: John Wiley & Sons
ISBN: 9780471461715
Release Date: 2005-03-11
Genre: Business & Economics

Provides a foundation for probability based on game theory ratherthan measure theory. A strong philosophical approach with practicalapplications. Presents in-depth coverage of classical probability theory aswell as new theory.

A History of Probability and Statistics and Their Applications Before 1750

Author: Anders Hald
Publisher: John Wiley & Sons
ISBN: 0471471291
Release Date: 2003-09-04
Genre: Mathematics

WILEY-INTERSCIENCE PAPERBACK SERIES The Wiley-Interscience Paperback Series consists of selected books that have been made more accessible to consumers in an effort to increase global appeal and general circulation. With these new unabridged softcover volumes, Wiley hopes to extend the lives of these works by making them available to future generations of statisticians, mathematicians, and scientists. From the Reviews of History of Probability and Statistics and Their Applications before 1750 "This is a marvelous book . . . Anyone with the slightest interest in the history of statistics, or in understanding how modern ideas have developed, will find this an invaluable resource." ?Short Book Reviews of ISI

Theory of Stochastic Objects

Author: Athanasios Christou Micheas
Publisher: CRC Press
ISBN: 9781466515222
Release Date: 2018-01-19
Genre: Mathematics

This book defines and investigates the concept of a random object. To accomplish this task in a natural way, it brings together three major areas; statistical inference, measure-theoretic probability theory and stochastic processes. This point of view has not been explored by existing textbooks; one would need material on real analysis, measure and probability theory, as well as stochastic processes - in addition to at least one text on statistics- to capture the detail and depth of material that has gone into this volume. Presents and illustrates ‘random objects’ in different contexts, under a unified framework, starting with rudimentary results on random variables and random sequences, all the way up to stochastic partial differential equations. Reviews rudimentary probability and introduces statistical inference, from basic to advanced, thus making the transition from basic statistical modeling and estimation to advanced topics more natural and concrete. Compact and comprehensive presentation of the material that will be useful to a reader from the mathematics and statistical sciences, at any stage of their career, either as a graduate student, an instructor, or an academician conducting research and requiring quick references and examples to classic topics. Includes 378 exercises, with the solutions manual available on the book's website. 121 illustrative examples of the concepts presented in the text (many including multiple items in a single example). The book is targeted towards students at the master’s and Ph.D. levels, as well as, academicians in the mathematics, statistics and related disciplines. Basic knowledge of calculus and matrix algebra is required. Prior knowledge of probability or measure theory is welcomed but not necessary.