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Biometrika 1985 72(1):227-229; doi:10.1093/biomet/72.1.227
© 1985 by Biometrika Trust
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MISCELLANEA

Interpretation and estimation in ranking theory

T. K. MAK

Department of Statistics, University of Hong Kong Hong Kong

A simple probabilistic interpretation is given to the expected ranks of k objects ordered by randomly generated observers. The result is shown to yield naturally an estimation procedure in a parametric model for the distribution of permutations. The resulting estimators, in contrast to those suggested by previous authors using approximate likelihood, are consistent for the parameters.

Key Words: Consistency • Expected rank • Rank order probability


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