Principles of Statistical Analysis

'With the rapid development of data-driven decision making, statistical methods have become indispensable in countless domains of science, engineering, and management science, to name a few. Ery Arias-Castro's excellent text gives a self-contained and remarkably broad exposition of the current diversity of concepts and methods developed to tackle the challenges of data science. Simply put, everyone serious about understanding the theory behind data science should be exposed to the topics covered in this book.' Philippe Rigollet, Department of Mathematics, Massachusetts Institute of Technology 'A course on statistical modeling and inference has been a staple of many first-year graduate engineering programs. While there are many excellent textbooks on this subject, much of the material is inspired by models of physical systems, and as such these books deal extensively with parametric inference. The emerging data revolution, on the other hand, requires an engineering student to develop an understanding of statistical inference rooted in problems inspired by data-driven applications, and this book fills that need. Arias-Castro weaves together diverse concepts such as data collection, sampling, and inference in a unified manner. He lucidly presents the mathematical foundations of statistical data analysis, and covers advanced topics on data analysis. With over 700 problems and computer exercises, this book will serve the needs of beginner and advanced engineering students alike.' Venkatesh Saligrama, Data Science Faculty Fellow, Department of Electrical and Computer Engineering, Department of Computer Science (by courtesy), Boston University 'In this book, aimed at senior undergraduates or beginning graduate students with a reasonable mathematical background, the author proposes a self-contained and yet concise introduction to statistical analysis. By putting a strong emphasis on the randomization principle, he provides a coherent and elegant perspective on modern statistical practice. Some of the later chapters also form a good basis for a reading group. I will be recommending this excellent book to my collaborators.' Nicolas Verzelen, Mathematics, Computer Science, Physics, and Systems Department, University of Montpellier 'This text is highly recommended for undergraduate students wanting to grasp the key ideas of modern data analysis. Arias-Castro achieves something that is rare in the art of teaching statistical science - he uses mathematical language in an intelligible and highly helpful way, without surrendering key intuitions of statistics to formalism and proof. In this way, the reader can get through an impressive amount of material without, however, ever getting into muddy waters.' Richard Nickl, Statistical Laboratory, Cambridge University