Functional Jackknifing: Rationality and General Asymptotics

Sen, Pranab Kumar

Ann. Statist., Tome 16 (1988) no. 1, p. 450-469 / Harvested from Project Euclid

Résumé

Though jackknifing serves well the dual purpose of bias reduction and variance estimation, the pseudovariables it generates may not generally preserve robustness for general statistical functionals. These pseudovariables are incorporated in a differentiable functional detour of jackknifing, and along with its rationality, the related asymptotic theory is studied systematically. A two-step jackknifing is considered for the variance estimation. Second-order asymptotic distributional representations for the classical jackknifed estimators are also considered.

Détail

Publié le : 1988-03-14
Classification:  Asymptotic normality,  asymptotic variance,  bias,  bootstrap,  Frechet differentiability,  Hadamard derivative,  jackknifed variance,  perturbations,  pseudovariables,  robustness,  second-order representation,  statistical functional,  two-step jackknifing,  60F05,  62E20,  62F12