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Catalogue Information
Field name
Details
Dewey Class
519.5
Title
Modern Mathematical Statistics with Applications ([EBook] /) / by Jay L. Devore, Kenneth N. Berk, Matthew A. Carlton.
Author
Devore, Jay L.
Added Personal Name
Berk, Kenneth N.
Carlton, Matthew A.
Other name(s)
SpringerLink (Online service)
Edition statement
3rd ed. 2021.
Publication
Cham : : Springer International Publishing : : Imprint: Springer, , 2021.
Physical Details
XII, 976 p. 330 illus., 211 illus. in color. : online resource.
Series
Springer Texts in Statistics
2197-4136
ISBN
9783030551568
Summary Note
This 3rd edition of Modern Mathematical Statistics with Applications tries to strike a balance between mathematical foundations and statistical practice. The book provides a clear and current exposition of statistical concepts and methodology, including many examples and exercises based on real data gleaned from publicly available sources. Here is a small but representative selection of scenarios for our examples and exercises based on information in 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 main focus of the book is on presenting and illustrating methods of inferential statistics used by investigators in a wide variety of disciplines, from actuarial science all the way to zoology. It begins with a chapter on descriptive statistics that immediately exposes the reader to the analysis of real data. The next six chapters develop the probability material that facilitates the transition from simply describing data to drawing formal conclusions based on inferential methodology. Point estimation, the use of statistical intervals, and hypothesis testing are the topics of the first three inferential chapters. The remainder of the book explores the use of these methods in a variety of more complex settings. This edition includes many new examples and exercises as well as an introduction to the simulation of events and probability distributions. There are more than 1300 exercises in the book, ranging from very straightforward to reasonably challenging. Many sections have been rewritten with the goal of streamlining and providing a more accessible exposition. Output from the most common statistical software packages is included wherever appropriate (a feature absent from virtually all other mathematical statistics textbooks). The authors hope that their enthusiasm for the theory and applicability of statistics to real world problems will encourage students to pursue more training in the discipline.:
Contents note
Preface -- 1 Overview and Descriptive Statistics -- 2 Probability -- 3 Discrete Random Variables and Probability Distributions -- 4 Continuous Random Variables and Probability Distributions -- 5 Joint Probability Distributions and Their Applications -- 6 Statistics and Sampling Distributions -- 7 Point Estimation -- 8 Statistical Intervals Based on a Single Sample -- 9 Tests of Hypotheses Based on a Single Sample -- 10 Inferences Based on Two Samples -- 11 The Analysis of Variance -- 12 Regression and Correlation -- 13 Chi-Squared Tests -- 14 Chi-Squared Tests -- 15 Introduction to Bayesian Estimation -- Appendix Tables -- Index.
Mode of acces to digital resource
Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
https://doi.org/10.1007/978-3-030-55156-8
Links to Related Works
Subject References:
Statistical Theory and Methods
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Statistics
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Statistics in Business, Management, Economics, Finance, Insurance
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Authors:
author
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Berk, Kenneth N.
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Carlton, Matthew A.
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Devore, Jay L.
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Corporate Authors:
SpringerLink (Online service)
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Series:
Springer Texts in Statistics
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Classification:
519.5
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