This book builds theoretical statistics from the first principles of probability theory. Starting from the basics of probability, the authors develop the theory of statistical inference using techniques, definitions, and concepts that are statistical and are natural extensions and consequences of previous concepts. Intended for first-year graduate students, this book can be used for students majoring in statistics who have a solid mathematics background. It can also be used in a way that stresses the more practical uses of statistical theory, being more concerned with understanding basic statistical concepts and deriving reasonable statistical procedures for a variety of situations, and less concerned with formal optimality investigations.

Mario Triola’s Elementary Statistics remains the market-leading introductory statistics textbook because it engages readers with an abundance of real data in the examples, applications, and exercises. Statistics is all around us in our daily lives, and Triola is dedicated to finding new real-world examples and data sets that make sense for today’s reader. The Eleventh Edition contains more than 2000 exercises, 87% of which are new, and 82% of which use real data. It also contains hundreds of examples, 86% of which are new and 94% of which use real data. By analyzing real data, students are able to connect abstract concepts to the world at large. As a result, they gain conceptual understanding and learn to think statistically, using the same methods that professional statisticians employ. The Technology Update includes new instruction that covers major advancements in statistics software since the first printing of the Eleventh Edition. A new Student Workbook offers even greater opportunity for students to apply their knowledge and practice as they progress through the course. The workbook can be packaged with any Triola textbook.