Preliminary estimators for a mixture model of ordinal data

Authors:
Maria Iannario
Affiliations:
Department of Statistical Sciences, University of Naples Federico II, Napoli, Italy 80138
Venue:
Advances in Data Analysis and Classification
Year:
2012

Citing 4
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Abstract

In this paper, 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 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.