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Hardcover - 9781493965700

07 December 2016

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Ebook - 9781493965724

08 November 2016

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The revised second edition of this textbook provides the reader with a solid foundation in probability theory and statistics as applied to the physical sciences, engineering and related fields. It covers a broad range of...

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The revised second edition of this textbook provides the reader with a solid foundation in probability theory and statistics as applied to the physical sciences, engineering and related fields. It covers a broad range of numerical and analytical methods that are essential for the correct analysis of scientific data, including probability theory, distribution functions of statistics, fits to two-dimensional data and parameter estimation, Monte Carlo methods and Markov chains. 

Features new to this edition include: 

• a discussion of statistical techniques employed in business science, such as multiple regression analysis of multivariate datasets.• a new chapter on the various measures of the mean including logarithmic averages.• new chapters on systematic errors and intrinsic scatter, and on the fitting of data with bivariate errors.• a new case study and additional worked examples.• mathematical derivations and theoretical background material have been appropriately marked, to improve the readability of the text.• end-of-chapter summary boxes, for easy reference.

As in the first edition, the main pedagogical method is a theory-then-application approach, where emphasis is placed first on a sound understanding of the underlying theory of a topic, which becomes the basis for an efficient and practical application of the material. The level is appropriate for undergraduates and beginning graduate students, and as a reference for the experienced researcher. Basic calculus is used in some of the derivations, and no previous background in probability and statistics is required. The book includes many numerical tables of data, as well as exercises and examples to aid the readers' understanding of the topic.

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Introduces the statistical techniques most commonly employed in physical sciences and engineering

Makes clear distinction between material that is strictly mathematical and theoretical, and practical applications of statistical methods

Expanded to cover selected core statistical methods used in business science

Theory of Probability
Random Variables and Their Distribution
Sum and Functions of Random Variables
Estimate of Mean and Variance and Confidence Intervals
Median, Weighted Mean and Linear Average (NEW).- Distribution Function of Statistics and Hypothesis Testing
Maximum Likelihood Fit to a Two-Variable Dataset
Goodness of Fit and Parameter Uncertainty
Systematic Errors and Intrinsic Scatter (NEW).- Fitting Data with Bivariate Errors (NEW).- Comparison Between Models
Monte Carlo Methods
Markov Chains and Monte Carlo Markov Chains.-  Statistics for Business Sciences and Addition of Multi–Variate Analysis (NEW).
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Max Bonamente is Professor of Astrophysics at the University of Alabama, Huntsville.

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Max Bonamente is Professor of Astrophysics at the University of Alabama, Huntsville.

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