What This Document Is
This is a detailed course syllabus for Theoretical Statistics (Stat 210B) at the University of California, Berkeley, offered in Spring 2005. It outlines the structure, expectations, and content of an advanced undergraduate/graduate level statistics course. The syllabus serves as a foundational guide for students intending to enroll or currently participating in the course, providing a comprehensive overview of the academic journey ahead.
Why This Document Matters
This syllabus is essential for anyone considering this course or currently registered. It clarifies the instructor’s contact information, required materials, and the grading breakdown. Students can use this document to assess whether their academic background aligns with the course prerequisites and to plan their study schedule effectively. Understanding the course’s focus and evaluation methods *before* committing time and resources is crucial for academic success.
Topics Covered
* Basic Empirical Process Theory – foundational concepts in statistical inference.
* Consistency and Asymptotic Linearity of Estimators – exploring the properties of statistical estimators.
* Estimating Functions for Smooth Parameters – methods for parameter estimation.
* Statistical Frameworks for Independent and Identically Distributed Observations – establishing the data and model structure.
* Efficiency Theory for Estimators – understanding optimal estimation procedures.
* Relationships between Full Data and Censored Data Estimating Functions – advanced techniques for handling incomplete data.
* Applications in Regression and Multiplicative Intensity Models – practical applications of statistical theory.
What This Document Provides
* Instructor and Teaching Assistant contact information and office hour details.
* A list of required textbooks and recommended supplementary materials.
* A detailed breakdown of the course evaluation criteria (attendance, homework, exams).
* A structured outline of the course topics, providing a roadmap for the semester.
* References to relevant publications and online resources for further exploration.
* An overview of the theoretical underpinnings of advanced statistical methods.
