Comparison of Partially Ranked Lists

Authors

  • Eugenia Stoimenova Bulgarian Academy of Sciences

DOI:

https://doi.org/10.17713/ajs.v46i3-4.676

Abstract

In this paper we introduce a measure of closeness of partial rankings based on a metric on permutations, and we analyze some of its properties. We consider two types of partial rankings: ranking the  k favorite items out of n and classification into several ordered categories.

References

Chan CH, Yan F, Kittler J, Mikolajczyk K (2015). Full Ranking as Local Descriptor for Visual Recognition: A Comparison of Distance Metrics on Sn. Pattern Recognition, 48(4), 1328–1336.

Critchlow DE (1985). Metric Methods for Analyzing Partially Ranked Data. Lecture Notes in Statistics, 34. Berlin etc.: Springer-Verlag.

Diaconis P (1988). Group Representations in Probability and Statistics. IMS Lecture Notes-Monograph Series, 11. Hayward, CA: Institute of Mathematical Statistics.

Fagin R, Kumar R, Mahdian M, Sivakumar D, Vee E (2006). Comparing Partial Rankings. SIAM J. Discrete Math., 20(3), 628–648.

Fagin R, Kumar R, Sivakumar D (2003). Comparing Top k Lists. SIAM J. Discrete Math., 17(1), 134–160.

Jurman G, Merler S, Barla A, Paoli S, Galea A, Furlanello C (2007). Algebraic Stability Indicators for Ranked Lists in Molecular Profiling . Bioinformatics, 24(2), 258–264.

Jurman G, Riccadonna S, Visintainer R, Furlanello C (2009). Canberra Distance on Ranked Lists. In KC Agrawal C Burges (ed.), In Proceedings of Advances in Ranking NIPS 09 Workshop, pp.

–27.

Marden JI (1995). Analyzing and Modeling Rank Data. Monographs on Statistics and Applied Probability. 64. London: Chapman.

Stoimenova E (2000). Rank Tests Based on Exceeding Observations. Ann. Inst. Stat. Math., 52(2), 255–266.

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Published

2017-04-12

How to Cite

Stoimenova, E. (2017). Comparison of Partially Ranked Lists. Austrian Journal of Statistics, 46(3-4), 107–115. https://doi.org/10.17713/ajs.v46i3-4.676