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

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

Content Provider	Springer Nature Link
Author	Böhning, Dankmar
Copyright Year	2015
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.
Starting Page	201
Ending Page	216
Page Count	16
File Format	PDF
ISSN	00261424
Journal	METRON
Volume Number	73
Issue Number	2
e-ISSN	2281695X
Language	English
Publisher	Springer Milan
Publisher Date	2015-07-30
Publisher Place	Milan
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Mixtures Power series distribution Statistical Theory and Methods Negative-binomial Beta-binomial Statistics
Content Type	Text
Resource Type	Article
Subject	Statistics and Probability

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