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Semiparametric mixture models and repeated measures: the multinomial cut point model
Author(s) -
CruzMedina I. R.,
Hettmansperger T. P.,
Thomas H.
Publication year - 2004
Publication title -
journal of the royal statistical society: series c (applied statistics)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.205
H-Index - 72
eISSN - 1467-9876
pISSN - 0035-9254
DOI - 10.1111/j.1467-9876.2004.05203.x
Subject(s) - multinomial distribution , mixture model , component (thermodynamics) , mathematics , repeated measures design , point (geometry) , statistics , econometrics , semiparametric model , mixed model , parametric statistics , geometry , physics , thermodynamics
Summary. Suppose that we have m repeated measures on each subject, and we model the observation vectors with a finite mixture model. We further assume that the repeated measures are conditionally independent. We present methods to estimate the shape of the component distributions along with various features of the component distributions such as the medians, means and variances. We make no distributional assumptions on the components; indeed, we allow different shapes for different components.