Approximation Theorems of Mathematical Statistics

Serfling (1980) — Approximation Theorems of Mathematical Statistics

Result

Chapter 3 (transformations of given statistics), Section 3.3 Theorem B: the multivariate delta method for functions of asymptotically normal vectors.

Use

alternative citation for O6.2 with the gradient-covariance form $\nabla g^\top\Sigma\nabla g$ stated explicitly.

Verification

Chapter 3 title and page (p. 117) primary record; the Theorem A / Theorem B labels of §3.3 remain unresolved after the audit's attempt (no readable text reachable, audit 5 Sep 2026) — cite as "Serfling 1980, §3.3" until read.