Modern Mathematical Statistics with Applications

The third edition of Modern Mathematical Statistics with Applications provides a balance between mathematical foundations and statistical practice, with examples and exercises based on real data. It covers descriptive statistics, probability material, point estimation, statistical intervals, hypothesis testing, and more, and includes over 1300 exercises. The authors hope to encourage students to pursue more training in the discipline.

Format: Paperback / softback
Length: 975 pages
Publication date: 30 April 2022
Publisher: Springer Nature Switzerland AG

This third edition of Modern Mathematical Statistics with Applications strives to strike a balance between mathematical foundations and statistical practice. The book offers a comprehensive and up-to-date exposition of statistical concepts and methodologies, featuring numerous examples and exercises based on real data sourced from publicly available sources. Here is a small but representative selection of scenarios for our examples and exercises drawn from recent articles:

Use of the "Big Mac index" by the publication The Economist as a humorous way to compare product costs across nations.

Visualizing how the concentration of lead levels in cartridges varies for each of five brands of e-cigarettes.

Describing the distribution of grip size among surgeons and how it impacts their ability to use a particular brand of surgical stapler.

Estimating the true average odometer reading of used Porsche Boxsters listed for sale on www.cars.com.

Comparing head acceleration after impact when wearing a football helmet with acceleration without a helmet.

Investigating the relationship between body mass index and foot load while running.

The primary focus of the book is on presenting and illustrating methods of inferential statistics employed by investigators across a diverse range of disciplines, spanning from actuarial science to zoology. It commences with a chapter on descriptive statistics, immediately immersing the reader in the analysis of real data. The subsequent six chapters develop the probability material necessary to facilitate the transition from simply describing data to drawing formal conclusions based on inferential methodology. Point estimation, the utilization of statistical intervals, and hypothesis testing comprise the topics of the first three inferential chapters. The remainder of the text delves into the topics of interval estimation, hypothesis testing for means and proportions, and non-parametric statistics.

Each chapter concludes with a comprehensive set of exercises designed to reinforce the concepts covered and provide hands-on experience for the reader. The exercises are accompanied by detailed solutions, allowing students to assess their understanding and apply the statistical techniques learned in the book.

Modern Mathematical Statistics with Applications is an essential resource for students and practitioners in the fields of statistics, mathematics, engineering, and social sciences. It offers a comprehensive and accessible introduction to inferential statistics, providing a solid foundation for further study and practical application. Whether you are a beginner seeking to gain a deeper understanding of statistical concepts or an experienced researcher looking to expand your knowledge, this book will be a valuable asset in your academic and professional pursuits.

Weight: 2024g
Dimension: 177 x 254 x 46 (mm)
ISBN-13: 9783030551582
Edition number: 3rd ed. 2021