Statistical Inference

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 use...

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.

Casella 在福特汉姆大学完成了他的本科教育，在普渡大学完成了研究生教育。他曾在罗格斯大学、康奈尔大学和佛罗里达大学任教。他的贡献集中在统计学领域，包括蒙特卡洛方法、模型选择和基因组分析。他在贝叶斯和经验贝叶斯方法方面特别活跃，其作品与斯坦因现象相联系，涉及评估和加速马尔科夫链蒙特卡洛方法的收敛性，如他的Rao-Blackwellisation技术，以及将拉索重塑为具有独立拉普拉斯先验的贝叶斯后验模式估计。

Casella于1988年被任命为美国统计学会和数学统计研究所的研究员，并于1989年成为国际统计学会的当选研究员。2009年，他被任命为西班牙皇家科学院外籍院士。

Roger Lee Berger 是美国统计学家和教授，与合作者 George Casella 于1990年首次出版《Statistical Inference》一书。