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Ranked set sampling, coherent rankings and size-biased permutations

✍ Scribed by G.P. Patil; A.K. Sinha; C. Taillie

Book ID
104340412
Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
619 KB
Volume
63
Category
Article
ISSN
0378-3758

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✦ Synopsis

The paper examines the effect of the set size upon the performance (reciprocal variance t of balanced ranked set sampling for estimation of a population mean. Performance is shown lo be monotone increasing with the set size for the wide class of ranking models that satisfy a property called coherence. This class includes perfect ranking as well as ranking by concomitant variable. Stochastic ranking models based upon size-biased permutations are also shown to satisJ~ coherence and, consequently, monotonicity. @ 1997 Elsevier Science B.V.

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