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

By

 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.

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