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Variance estimation for the finite population distribution function with complete auxiliary information
Author(s) -
Wu Changbao,
Sitter Randy R.
Publication year - 2001
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 - 10.2307/3316078
Subject(s) - jackknife resampling , estimator , consistency (knowledge bases) , statistics , variance (accounting) , mathematics , population , population variance , sample (material) , econometrics , computer science , discrete mathematics , demography , chemistry , accounting , chromatography , business , sociology
The authors develop jackknife and analytical variance estimators for the estimator of Chambers & Dunstan (1986) and Rao, Kovar & Mantel (1990) of the finite population distribution function, using complete auxiliary information. They also describe the associated model and show the design consistency of the variance estimators, whose small‐sample performance is examined through a limited simulation study. They highlight the operational advantages of the jackknife in the model‐based setting of Chambers & Dunstan (1986) and its better conditional performance in the design‐based setting of Rao, Kovar & Mantel (1990).