6533b82efe1ef96bd1293311

RESEARCH PRODUCT

An extended continuous mapping theorem for outer almost sure weak convergence

Davit Varron

subject

Statistics and ProbabilityWeak convergence010102 general mathematicsContinuous mapping theorem16. Peace & justiceEmpirical measure01 natural sciences010104 statistics & probabilityMetric spaceEmpirical likelihoodConsistency (statistics)[MATH.MATH-ST]Mathematics [math]/Statistics [math.ST]Applied mathematicsStatistics::Methodology0101 mathematicsStatistics Probability and UncertaintyMathematics

description

International audience; We prove an extended continuous mapping theorem for outer almost sure weak convergence in a metric space, a notion that is used in bootstrap empirical processes theory. Then we make use of those results to establish the consistency of several bootstrap procedures in empirical likelihood theory for functional parameters.

yearjournalcountryeditionlanguage
2019-01-01
10.1137/s0040585x97t989507https://hal.archives-ouvertes.fr/hal-03207677/document