A new statistical framework for overdispersed count data: Applications in public health, radiation dosimetry and finance
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F25%3A10258695" target="_blank" >RIV/61989100:27240/25:10258695 - isvavai.cz</a>
Alternative codes found
RIV/61989100:27740/25:10258695
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S1687850725006995" target="_blank" >https://www.sciencedirect.com/science/article/pii/S1687850725006995</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jrras.2025.101987" target="_blank" >10.1016/j.jrras.2025.101987</a>
Alternative languages
Result language
angličtina
Original language name
A new statistical framework for overdispersed count data: Applications in public health, radiation dosimetry and finance
Original language description
Over-dispersed count data, where the variance exceeds the mean, appear in many fields and call for models that allow extra variability. We propose the Poisson-Juchez (PJCHZ) distribution, obtained by compounding a Poisson distribution with the Juchez distribution, to provide a flexible yet tractable framework for such data. We derive closed-form expressions for the rth factorial, raw, and central moments, and study key properties, including the probability generating function, dispersion behavior, reliability measures, stress-strength characteristics, and the Lorenz curve. Parameters are estimated by maximum likelihood, and we examine the finite-sample performance of the estimators through simulation. We then apply the PJCHZ model to three datasets on vaccine adverse events, cytogenetic radiation lesions, and insurance claim counts. Across these examples, the PJCHZ offers improved fit and greater flexibility compared with several competing distributions. These results indicate that the PJCHZ is a practical choice for modeling over-dispersed counts in public health, radiation dosimetry, and insurance analytics.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10103 - Statistics and probability
Result continuities
Project
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Continuities
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Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Radiation Research and Applied Sciences
ISSN
1687-8507
e-ISSN
1687-8507
Volume of the periodical
18
Issue of the periodical within the volume
4
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
21
Pages from-to
101987
UT code for WoS article
001592468300001
EID of the result in the Scopus database
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