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VARIANCE ESTIMATION IN MULTI‐STAGE SAMPLING
Author(s) -
Arnab R.
Publication year - 1988
Publication title -
australian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.434
H-Index - 41
eISSN - 1467-842X
pISSN - 0004-9581
DOI - 10.1111/j.1467-842x.1988.tb00616.x
Subject(s) - estimator , homogeneous , stage (stratigraphy) , selection (genetic algorithm) , statistics , variance (accounting) , mathematics , sampling (signal processing) , best linear unbiased prediction , quadratic equation , estimation , computer science , combinatorics , engineering , artificial intelligence , telecommunications , economics , systems engineering , paleontology , geometry , accounting , detector , biology
Summary In multi‐stage sampling with the first stage units (fsu) chosen without replacement (WOR) with varying probability schemes (VPS) unbiased estimators (UE) of variances of homogeneous linear (HL) functions of unbiased estimators (UE) T i 's of fsu totals Y i 's based on selection of subsequent stage units (SSU) from chosen fsu's are derived as homogeneous quadratic (HQ) functions of alternative less efficient UE's, say of T i ';'s of Y i 's. Specific strategies are illustrated.