Unusual-event processes for count data

At least one unusual event appears in some count datasets. It will lead to a more concentrated (or dispersed) distribution than the Poisson, gamma, Weibull, Conway-Maxwell-Poisson (CMP), and Faddy (1997) models can accommodate. These well-known count models are based on the monotonic rates of intera...

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Bibliographic Details
Authors: Skulpakdee, Wanrudee|||0000-0002-0907-5434, Hunkrajok, Mongkol|||0000-0001-7141-6685
Format: article
Publication Date:2022
Country:España
Institution:Universitat Autònoma de Barcelona
Repository:Dipòsit Digital de Documents de la UAB
Language:English
OAI Identifier:oai:ddd.uab.cat:264543
Online Access:https://ddd.uab.cat/record/264543
https://dx.doi.org/urn:doi:10.2436/20.8080.02.117
Access Level:Open access
Keyword:Poisson count model
Gamma count model
Weibull count model
Conway-Maxwell-Poisson count model
Faddy count model
Description
Summary:At least one unusual event appears in some count datasets. It will lead to a more concentrated (or dispersed) distribution than the Poisson, gamma, Weibull, Conway-Maxwell-Poisson (CMP), and Faddy (1997) models can accommodate. These well-known count models are based on the monotonic rates of interarrival times between successive events. Under the assumption of non-monotonic rates and independent exponential interarrival times, a new class of parametric models for unusual-event (UE) count data is proposed. These models are applied to two empirical applications, the number of births and the number of bids, and yield considerably better results to the above well-known count models.