Continuous Mapping, Slutsky & Delta Method – Practice Quiz

Build a rigorous understanding of continuous mapping, slutsky & delta method through 20 original single-select and multiselect questions. Begin with core definitions, then work through calculations, assumptions, counterexamples and advanced diagnostic challenges.

Prerequisites: the earlier core Statistics curriculum, including probability distributions, expectation, calculus and the preceding mathematical-statistics sets.

Competencies: Apply continuous mapping with continuity checks; Apply Slutsky with a constant probability limit; Derive scalar delta-method variance; Propagate multivariate covariance using a Jacobian; Studentize with consistent scale estimation; Identify zero-derivative and boundary failures; Use second-order scaling when needed; Diagnose discontinuities and plug-in standard-error errors. Every item includes a worked explanation and reasons for rejecting distractors.

Further reading: Proof and multivariate generalization, Constant probability limits and joint transformations, Asymptotic normality and delta method.