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Inequalities for Random Utility Models, with Applications to Ranking and Subset Choice Data

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Abstract

Inequalities on orderings of independent random variables are derived in the context of random utility models for ranking and subset choice data. The inequalities can be used to assess whether ranking or subset choice data are consistent with an independent random utility model. The main technique used for the inequalities is “association”, with conditions for the sharpness for the inequalities coming from identifying when the “association” inequality is an equality. Applications to real data sets are given.

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Authors and Affiliations

  1. Department of Statistics, University of British Columbia, Vancouver, BC, Canada, V6T 1Z2

    Harry Joe

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  1. Harry Joe
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Joe, H. Inequalities for Random Utility Models, with Applications to Ranking and Subset Choice Data. Methodology and Computing in Applied Probability 2, 359–372 (2000). https://doi.org/10.1023/A:1010058117460

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