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The Odd Log-Logistic Dagum Distribution: Properties and Applications

The odd log-logistic Dagum distribution: properties and applications
Authors: Domma, Filippo; Eftekharian, Abbas; Afify, Ahmed Z.; Alizadeh, Morad; Ghosh, Indranil;

The Odd Log-Logistic Dagum Distribution: Properties and Applications

Abstract

This paper introduces a new four-parameter lifetime model called the odd log-logistic Dagum distribution. The new model has the advantage of being capable of modeling various shapes of aging and failure criteria. We derive some structural properties of the model odd log-logistic Dagum such as order statistics and incomplete moments. The maximum likelihood method is used to estimate the model parameters. Simulation results to assess the performance of the maximum likelihood estimation are discussed. We prove empirically the importance and flexibility of the new model in modeling real data.

Countries
Italy, Colombia
Keywords

Maximum Likelihood, Reliability and life testing, Statistics, estadísticas de orden, Dagum distribution, 31 Colecciones de estadística general / Statistics, Dagum distribution; Maximum likelihood; Odd log-logistic family; Order statistics; Statistics and Probability, máxima verosimilitud, Odd Log-Logistic Family, HA1-4737, order statistics, 51 Matemáticas / Mathematics, distribución Dagum, odd log-logistic family, Characterization and structure theory of statistical distributions, Dagum Distribution, familia Odd-Log-Logística, maximum likelihood, Order Statistics

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    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).
    3
    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.
    Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Average
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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!
3
Average
Average
Average
Green
gold