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A scoring method based on paired comparison allowing multiple choice is investigated. We allow general log-concave probability density functions for the random variables describing the difference of the objects. This… Click to show full abstract
A scoring method based on paired comparison allowing multiple choice is investigated. We allow general log-concave probability density functions for the random variables describing the difference of the objects. This case involves Bradley–Terry models and Thurstone models as well. A sufficient condition is proved for the existence and uniqueness of the maximum likelihood estimation of the parameters in case of incomplete comparisons. The axiomatic properties of the method are also investigated.
Keywords:
general log;
case;
probability density;
concave probability;
multiple choice;
log concave
Journal Title: Central European Journal of Operations Research
Year Published: 2019
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Journal Title: Central European Journal of Operations Research
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!