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Edgeworth expansion and the bootstrap for stratified sampling without replacement from a finite population
Author(s) -
Chen Jiahua,
Sitter R. R.
Publication year - 1993
Publication title -
canadian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.804
H-Index - 51
eISSN - 1708-945X
pISSN - 0319-5724
DOI - 10.2307/3315699
Subject(s) - edgeworth series , stratum , stratified sampling , population , sampling (signal processing) , context (archaeology) , mathematics , statistics , econometrics , computer science , geography , geology , demography , geotechnical engineering , filter (signal processing) , sociology , computer vision , archaeology
An Edgeworth expansion for a linear combination of stratum means in stratified sampling without replacement from a finite population is derived. The expansion is applied to a bootstrap proposed for this context to show that the bootstrap captures the second‐order term of the expansion.