A technical discussion on asymptotic approximations in stratified sampling when sampling probabilities approach zero, relevant for rare disease studies.
Explores statistical scenarios where the bootstrap resampling method fails to provide accurate variance estimates or confidence intervals.
Discusses why simulation summaries should focus on quantiles and robust statistics rather than moments when evaluating asymptotic approximations.
Explores the statistical concept of 'design consistency' in survey sampling, comparing it to model consistency and discussing asymptotic theory.
Explores different proofs of the Continuous Mapping Theorem in probability theory, discussing their merits and pedagogical value.
Explores the statistical power of monotonicity vs. smoothness assumptions in modeling, analyzing their asymptotic and finite-sample impacts.
