In order to establish the validity of the empirical Edgeworth expansion (in probability) we prove the consistency of the jackknife estimators.

Paper

Empirical Edgeworth Expansion for Finite Population Statistics. II

Citations: 10

2001

Full text

Abstract

For symmetric asymptotically linear statistics based on simple random samples, we construct a one–term empirical Edgeworth expansion, where the moments defining the true Edgeworth expansion are replaced by their jackknife estimators. In order to establish the validity of the empirical Edgeworth expansion (in probability) we prove the consistency of the jackknife estimators.

Authors

M. Bloznelis

Journal

Lithuanian Mathematical Journal

copied to clipboard