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Power series mixtures and the ratio plot with applications to zero-truncated count distribution modelling

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  • Dankmar Böhning

Abstract

The purpose of this note is to contribute some general points on how mixtures of power series distributions relate to their ratios of neighboring probabilities and how the associated graph, the ratio plot, can be used as diagnostic device as suggested in Böhning (J Comput Graph Stat 22:133–155, 2013 ). This work is continued here and extensively used to explore the aptness of the negative-binomial and beta-binomial model as capture-recapture zero-truncated count models. It is concluded that these models are less suitable for capture-recapture modelling as frequently readily assumed. This is mainly due to an inherent boundary problem that is elaborated here and illustrated at hand of some case studies. Copyright Sapienza Università di Roma 2015

Suggested Citation

  • Dankmar Böhning, 2015. "Power series mixtures and the ratio plot with applications to zero-truncated count distribution modelling," METRON, Springer;Sapienza Università di Roma, vol. 73(2), pages 201-216, August.
    • Handle: RePEc:spr:metron:v:73:y:2015:i:2:p:201-216
    DOI: 10.1007/s40300-015-0071-6
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