Sankhya: The Indian Journal of Statistics
2004, Volume 66, Pt. 4, 791-802
Extending Sitter's Mirror-Match Bootstrap to Cover Rao-Hartley-Cochran Sampling in Two-stages with Simulated Illustrations
Arijit Chaudhuri, Indian Statistical Institute, Kolkata, India and Amitava Saha, Directorate General of Mines Safety, Dhanbad, India
SUMMARY . A practical problem of estimating the total area under cultivation in Indian districts is addressed by two-stage sampling with unequal selection-probabilities. To assess the accuracy in estimation bootstrap technique is employed in constructing confidence intervals and simulation-based performance criteria are evaluated from live-data as are shown for competitive procedures. Rao-Hartley-Cochran's (RHC, 1962) scheme is employed in both stages of sampling. Sitter's mirrormatch bootstrap procedure is employed suitably modifying it to cover the two-stages.
AMS (1991) subject classification. 62D05 ;
Key words and phrases. Bootstrap, confidence intervals, correlation and regression estimation, generalized regression estimation,mirror-match, two-stage sampling, unequal selection-probabilities.