General flation models for count data
General flation models for count data
The paper discusses very general extensions to existing inflation models for discrete random variables, allowing an arbitrary set of points in the
sample space to be either inflated or deflated relative to a baseline distribution. The term flation is introduced to cover either inflation or deflation of counts. Examples include one-inflated count models where the baseline distribution is zero-truncated and count models for data with a few unusual large values. The main result is that inference about the baseline distribution can be based solely on the truncated distribution which arises when the entire set of flation points is truncated. A major application of this result relates to estimating the size of a hidden target population, and examples are provided to illustrate our findings.
Multiple inflation, Multiple truncation, One-inflation, Zero-truncation with one-inflation
245-261
Bohning, Dankmar
1df635d4-e3dc-44d0-b61d-5fd11f6434e1
Ogden, Helen
78b03322-3836-4d3b-8b84-faf12895854e
10 July 2020
Bohning, Dankmar
1df635d4-e3dc-44d0-b61d-5fd11f6434e1
Ogden, Helen
78b03322-3836-4d3b-8b84-faf12895854e
Abstract
The paper discusses very general extensions to existing inflation models for discrete random variables, allowing an arbitrary set of points in the
sample space to be either inflated or deflated relative to a baseline distribution. The term flation is introduced to cover either inflation or deflation of counts. Examples include one-inflated count models where the baseline distribution is zero-truncated and count models for data with a few unusual large values. The main result is that inference about the baseline distribution can be based solely on the truncated distribution which arises when the entire set of flation points is truncated. A major application of this result relates to estimating the size of a hidden target population, and examples are provided to illustrate our findings.
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General flation models for count data
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Böhning-Ogden 2020 Article General Flation Models For Count
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Accepted/In Press date: 18 June 2020
e-pub ahead of print date: 10 July 2020
Published date: 10 July 2020
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Publisher Copyright:
© 2020, The Author(s).
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
Keywords:
Multiple inflation, Multiple truncation, One-inflation, Zero-truncation with one-inflation
Identifiers
Local EPrints ID: 441908
URI: http://eprints.soton.ac.uk/id/eprint/441908
ISSN: 0026-1335
PURE UUID: 2f5b390a-b2fa-4b9a-b8cf-19489dae4c1d
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Date deposited: 02 Jul 2020 16:30
Last modified: 17 Mar 2024 03:33
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