6533b870fe1ef96bd12cf26c
RESEARCH PRODUCT
New Flexible Probability Distributions for Ranking Data
Mariangela SciandraSalvatore Fasolasubject
Flexibility (engineering)RankingBinomial (polynomial)Computer scienceRank (computer programming)EconometricsProbability distributionScale (descriptive set theory)Discrete Beta Ranking data Shifted-Beta BinomialRanking data Discrete Beta Shifted-Beta BinomialMixture modelSettore SECS-S/01 - StatisticaHypergeometric distributiondescription
Recently, several models have been proposed in literature for analyzing ranks assigned by people to some object. These models summarize the liking feeling for this object, possibly also with respect to a set of explanatory variables. Some recent works have suggested the use of the Shifted Binomial and of the Inverse Hypergeometric distribution for modelling the approval rate, while mixture models have been developed for taking into account the uncertainty of the ranking process. We propose two new probabilistic models, based on the Discrete Beta and the Shifted-Beta Binomial distributions, that ensure much flexibility and allow the joint modelling of the scale (approval rate) and the shape (uncertainty) of the distribution of the ranks assigned to the object.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2015-01-01 |