Section: New Results

A new probability distribution for ordinal data

Participants : Christophe Biernacki, Julien Jacques.

In [21] , a probability distribution for univariate ordinal data is proposed from a stochastic dichotomic search algorithm in a sorting table. Interest of this approach is to give a specific model for ordinal data, without any reference to numerical or nominal data, as it is often the case. The resulting distribution is governed by a position and a dispersion parameter, and is easily estimated by using an EM algorithm.