Series Approximation Methods in Statistics

Focused on advanced graduate students in statistics, this book offers a thorough introduction to Edgeworth and saddlepoint approximations, emphasizing rigorous limit theorems and recent developments. It draws on foundational works by McCullagh and Feller, presenting theorems with consistent notation to highlight their interconnections within asymptotic theory. The text also underscores the importance of regularity conditions, detailing their necessity and role in proofs, making complex theoretical results accessible across various contexts.