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Bayesian Models for Ranking Data

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Book cover A Parametric Approach to Nonparametric Statistics

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Abstract

Ranking data are often encountered in practice when judges (or individuals) are asked to rank a set of t items, which may be political goals, candidates in an election, types of food, etc. We see examples in voting and elections, market research, and food preference just to name a few. By studying ranking data, we can understand the judges’ perception and preferences on the ranked alternatives.

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References

  • Alvo, M. and Yu, P. L. H. (2014). Statistical Methods for Ranking Data. Springer.

    Book  Google Scholar 

  • Banerjee, A., Dhillon, I. S., Ghosh, J., and Sra, S. (2005). Clustering on the unit hypersphere using von Mises-Fisher distributions. Journal of Machine Learning Research, 6(Sep):1345–1382.

    MathSciNet  MATH  Google Scholar 

  • Blei, D. M., Kucukelbir, A., and McAuliffe, J. D. (2017). Variational inference: A review for statisticians. Journal of the American Statistical Association, 112(518):859–877.

    Article  MathSciNet  Google Scholar 

  • Diaconis, P. (1988a). Group Representations in Probability and Statistics. Institute of Mathematical Statistics, Hayward.

    Google Scholar 

  • Kamishima, T. (2003). Nantonac collaborative filtering: recommendation based on order responses. In Proceedings of the ninth ACM SIGKDD international conference on Knowledge discovery and data mining, pages 583–588. ACM.

    Google Scholar 

  • Kidwell, P., Lebanon, G., and Cleveland, W. S. (2008). Visualizing incomplete and partially ranked data. IEEE Transactions on Visualization and Computer Graphics, 14(6):1356–1363.

    Article  Google Scholar 

  • Nunez-Antonio, G. and Gutiérrez-Pena, E. (2005). A Bayesian analysis of directional data using the von Mises–Fisher distribution. Communications in Statistics-Simulation and Computation, 34(4):989–999.

    Article  MathSciNet  Google Scholar 

  • Sra, S. (2012). A short note on parameter approximation for von Mises-Fisher distributions: and a fast implementation of i s (x). Computational Statistics, 27(1):177–190.

    Article  MathSciNet  Google Scholar 

  • Taghia, J., Ma, Z., and Leijon, A. (2014). Bayesian estimation of the von-Mises Fisher mixture model with variational inference. IEEE transactions on pattern analysis and machine intelligence, 36(9):1701–1715.

    Article  Google Scholar 

  • Xu, H., Alvo, M., and Yu, P. L. H. (2018). Angle-based models for ranking data. Computational Statistics and Data Analysis, 121:113–136.

    Article  MathSciNet  Google Scholar 

  • Yu, P. L. H., Lam, K. F., and Lo, S. M. (2005). Factor analysis for ranked data with application to a job selection attitude survey. Journal of the Royal Statistical Society Series A, 168(3):583–597.

    Article  MathSciNet  Google Scholar 

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Alvo, M., Yu, P.L.H. (2018). Bayesian Models for Ranking Data. In: A Parametric Approach to Nonparametric Statistics. Springer Series in the Data Sciences. Springer, Cham. https://doi.org/10.1007/978-3-319-94153-0_11

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