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Austrian Journal of Statistics
Article . 2023 . Peer-reviewed
License: CC BY
Data sources: Crossref
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Austrian Journal of Statistics
Article . 2023
Data sources: DOAJ
https://dx.doi.org/10.60692/j1...
Other literature type . 2023
Data sources: Datacite
https://dx.doi.org/10.60692/bn...
Other literature type . 2023
Data sources: Datacite
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A New Poisson Generalized Lindley Regression Model

نموذج انحدار ليندلي المعمم الجديد لبويسون
Authors: Yupapin Atikankul;

A New Poisson Generalized Lindley Regression Model

Abstract

In this paper, a new count distribution is introduced. It is a mixture of the Poisson and generalized Lindley distributions. Statistical properties of the proposed distribution including the factorial moments, probability generating function, moment generating function and moments are studies. Maximum likelihood estimators of unknown parameters are derived. Moreover, an alternative count regression model based on the proposed distribution is presented. Finally, the proposed model is applied for real data and compared with other well-known models.

Keywords

Statistics and Probability, Population, Generalized linear model, Estimator, Mathematical analysis, QA273-280, Poisson regression, Sociology, Artificial Intelligence, Factorial, Skew Distributions and Applications in Statistics, Probability density function, FOS: Mathematics, Coagulation and Flocculation Processes in Water Treatment, Classical mechanics, Water Science and Technology, Count data, Demography, Distribution (mathematics), Physics, Statistics, Moment (physics), Applied mathematics, HA1-4737, FOS: Sociology, Generalized Exponential, Compound Poisson distribution, Physical Sciences, Computer Science, Environmental Science, Moment-generating function, Poisson distribution, Model-Based Clustering with Mixture Models, Probabilities. Mathematical statistics, Regression analysis, Mathematics, Zero-inflated model

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
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