1 Probability -- 2 Representation of random phenomena -- 3 Basic probability theory -- 4 Multivariate Probability Theory -- 5 Functions of random variables -- 6 Basic statistics: parameter estimation -- 7 Basic statistics: hypothesis testing -- 8 Monte Carlo methods -- 9 Applications of Monte Carlo methods -- 10 Statistical inference and likelihood -- 11 Least squares -- 12 Experimental data analysis -- Appendix A: Table of symbols 533 -- Appendix B: R software 535 -- Appendix C: Moment-generating functions 539 -- Appendix D: Solutions of problems 543 -- Appendix E: Tables
This book presents in a compact form the program carried out in introductory statistics courses and discusses some essential topics for research activity, such as Monte Carlo simulation techniques, methods of statistical inference, best fit and analysis of laboratory data. All themes are developed starting from fundamentals, highlighting their applicative aspects, up to the detailed description of several cases particularly relevant for technical and scientific research. The text is dedicated to university students in scientific fields and to all researchers who have to solve practical problems by applying data analysis and simulation procedures. The R software is adopted throughout the book, with a rich library of original programs accessible to the readers through a website
