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Some characterizations of distributions by regression models for ordinal response data

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Summary

Let a random variableX be classified intok classes. By doing so, a new random variable is obtained, measured on ordinal scale. If this variable is a response variable in certain regression models for ordinal response data, the distribution ofX is characterized by the models. In this paper, characterizations of the distribution ofX by the proportional odds model and the proportional hazards model are given.

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  1. N.V. Philips' Gloeilampenfabrieken, Centre for Quantitative Methods, Eindhoven, The Netherlands

    J. Engel

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  1. J. Engel
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Engel, J. Some characterizations of distributions by regression models for ordinal response data. Metrika 32, 65–72 (1985). https://doi.org/10.1007/BF01897801

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  • DOI: https://doi.org/10.1007/BF01897801

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