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.

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 Request lecturer material: sn.pub/lecturer-material

Autorentext

Massimiliano Bonamente is a professor of physics and astronomy at the University of Alabama in Huntsville (UAH), USA. He received his laurea degree cum laude in electrical engineering from the Universita' di Perugia, Italy in 1996, and a Ph.D. degree in physics from UAH in 2000. After postdoctoral work at the Osservatorio Astrofisico di Catania, Italy, and the NASA Marshall Space Flight Center, NASA, and as an assistant research professor at UAH, he began a tenure-track appointment at UAH as an assistant professor in 2007, and has been a full professor of physics and astronomy since 2014. He was selected as an outstanding faculty member in the College of Science at UAH in 2011, where he has taught a variety of courses for undergraduate and graduate students in the areas of general physics, mathematics and statistics, thermodynamics, and astrophysics. His research interests are primarily in high-energy astrophysics, cosmology and applied statistics, and he has published over 80refereed journal articles.

Inhalt
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 MultiVariate Analysis (NEW).