Panaretos V.M. Statistics for Mathematicians: A Rigorous First Course

Birkhauser, 2016. — 189 p. — (Compact Textbooks in Mathematics). — ISBN: 3319283391, 9783319283395Presents a rigorous yet elementary introduction to the main concepts and methods of statistical inference
Targets students of mathematics taking their first course in statistics
Offers a self-contained treatment with a high degree of internal coherence and firm sense of direction
Features a broad yet compact presentation, fitting an entire course on statistical inference into one semesterThis textbook provides a coherent introduction to the main concepts and methods of one-parameter statistical inference. Intended for students of Mathematics taking their first course in Statistics, the focus is on Statistics for Mathematicians rather than on Mathematical Statistics. The goal is not to focus on the mathematical/theoretical aspects of the subject, but rather to provide an introduction to the subject tailored to the mindset and tastes of Mathematics students, who are sometimes turned off by the informal nature of Statistics courses. This book can be used as the basis for an elementary semester-long first course on Statistics with a firm sense of direction that does not sacrifice rigor. The deeper goal of the text is to attract the attention of promising Mathematics students.