Large Sample Techniques for Statistics

This book provides a comprehensive guide to large sample techniques in statistics, focusing on developing analytical skills and understanding motivation. It covers fundamental techniques, limit theorems, and special areas of applications, with case studies and exercises to practice. The Second Edition seeks to address new challenges in data science.

Format: Paperback / softback
Length: 685 pages
Publication date: 06 April 2023
Publisher: Springer Nature Switzerland AG

This comprehensive guide to large sample techniques in statistics offers a thorough exploration of analytical skills and motivation. It begins with fundamental techniques and seamlessly connects theory and applications, engaging readers in an insightful journey. The first five chapters delve into essential concepts such as fundamental epsilon-delta arguments, Taylor expansion, convergence, and inequalities. These chapters are complemented by case studies, providing real-world applications of the theoretical concepts. The subsequent five chapters focus on limit theorems in specific observational data scenarios, while the remaining six chapters explore specialized areas of applications.

In the latest edition, a dedicated chapter on random matrix theory has been introduced, along with expanded coverage of inequalities and mixed effects models. The book's case studies and applications-oriented chapters showcase how large sample theory can be applied in practical situations. To enhance learning, numerous exercises are provided, allowing readers to practice and reinforce their understanding.

Additionally, appendices offer valuable context for matrix algebra and mathematical statistics, further enhancing the reader's knowledge base. The Second Edition of this text is designed to address the evolving challenges in data science, making it suitable for a wide audience, from senior undergraduate students to researchers with doctorates. A foundational course in mathematical statistics and a course in calculus are prerequisites for this text.

Weight: 1062g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030916978
Edition number: 2nd ed. 2022