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

Power series mixtures and the ratio plot with applications to zero-truncated count distribution modelling
Power series mixtures and the ratio plot with applications to zero-truncated count distribution modelling
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.
0026-1424
201-216
Bohning, Dankmar
1df635d4-e3dc-44d0-b61d-5fd11f6434e1
Bohning, Dankmar
1df635d4-e3dc-44d0-b61d-5fd11f6434e1

Bohning, Dankmar (2015) Power series mixtures and the ratio plot with applications to zero-truncated count distribution modelling. Metron, 73 (2), 201-216. (doi:10.1007/s40300-015-0071-6).

Record type: Article

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.

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More information

Accepted/In Press date: 22 July 2015
e-pub ahead of print date: 30 July 2015
Published date: August 2015
Organisations: Primary Care & Population Sciences

Identifiers

Local EPrints ID: 390812
URI: http://eprints.soton.ac.uk/id/eprint/390812
ISSN: 0026-1424
PURE UUID: d22d8bdb-ea51-41a3-b64c-929676715859
ORCID for Dankmar Bohning: ORCID iD orcid.org/0000-0003-0638-7106

Catalogue record

Date deposited: 07 Apr 2016 13:21
Last modified: 31 Jul 2019 00:36

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