• Version 2nd Edition
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• Create Date July 14, 2018
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Statistical Inference (PDF) 2nd Edition 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. This book can be used for readers 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.

• Begins with the basics of probability theory and introduces many fundamentals that are later necessary (Chapters 1-4).
• Treats likelihood and sufficiency principles in detail. These principles and the thinking behind them are fundamental to total statistical understanding. The equivariance principle is also introduced.
• Divides the methods of finding appropriate statistical methods and the methods of evaluating these techniques in the core statistical inference chapters (Chapters 7-9). Integrates decision theoretic evaluations into core chapters. Many of the techniques are used in consulting and are helpful in analyzing and inferring from actual problems.
• Discusses use of simulation in mathematical statistics.
• Includes a thorough introduction to large sample statistical methods.
• Covers the elementary linear models through simple linear regression and one-way analysis of variance.
• Covers more advanced theory of regression topics including "errors in variables" regression, logistic regression, and robust regression.

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