Preliminary estimators for a mixture model of ordinal data. (English) Zbl 1254.62004

Summary: We propose preliminary estimators for the parameters of a mixture distribution introduced for the analysis of ordinal data where the mixture components are given by a combination of a discrete uniform and a shifted binomial distribution (CUB model). After reviewing some preliminary concepts related to the meaning of the parameters which characterize such models, we introduce estimators which are related to the location and heterogeneity of the observed distributions, respectively, in order to accelerate the EM procedure for the maximum likelihood estimation. A simulation experiment has been performed to investigate their main features and to confirm their usefulness. A check of the proposal on real case studies and some comments conclude the paper.


62-07 Data analysis (statistics) (MSC2010)
62F10 Point estimation
65C60 Computational problems in statistics (MSC2010)


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