Jiming Jiang
Large Sample Techniques for Statistics
Large Sample Techniques for Statistics
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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: Hardback
Length: 685 pages
Publication date: 05 April 2022
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 types, and inequalities. The subsequent five chapters explore limit theorems in specific observational data scenarios, with each chapter featuring at least one section of case study. The final six chapters focus on specialized areas of applications, providing valuable insights.
In its new edition, this book introduces a dedicated chapter on random matrix theory, as well as an expanded treatment of inequalities and mixed effects models. The case studies and applications-oriented chapters showcase how large sample theory methods can be applied in real-world situations, while the extensive exercise section allows readers to practice and reinforce their knowledge. Appendices provide valuable context for matrix algebra and mathematical statistics.
Designed for a wide audience, including senior undergraduate students and researchers with doctorates, this text serves as a valuable resource for those seeking to advance their understanding of large sample techniques in statistics. A foundational course in mathematical statistics and a course in calculus are prerequisites for this text.
Weight: 1214g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030916947
Edition number: 2nd ed. 2022
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