The Extended Log-Logistic Distribution: Properties and Application

Lima, Stênio Rodrigues; Cordeiro, Gauss M.

doi:10.1590/0001-3765201720150579

Cited by 17 publications

(11 citation statements)

References 15 publications

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“…In terms of applications, the log-logistic distribution and its generalizations have become the most popular models for survival and reliability data. Some recent applications have included: modeling for AIDS and Melanoma data (de Santana, Ortega, Cordeiro, & Silva, 2012); used for minification process (Gui, 2013); modeling breast cancer data (Ramos et al 2013); (Tahir et al 2014); modeling on censored survival data (Lemonte, 2014); modeling time up to first calving of cows (Louzada & Granzotto, 2016); modeling, inference, and use to a polled Tabapua Race Time up to First Calving Data (Granzotto et al 2017); modeling positive real data in many areas (Lima & Cordeiro, 2017); analysing a right-censored data (Shakhatreh, 2018); modeling lung cancer data (Alshangiti, et al 2016); and modeling of breaking stress data (Aldahlan, 2020).…”

Section: Extensions Of Log-logistic Distributionmentioning

confidence: 99%

“…the two parameters in (121) can add entropy to the center of the Exponentiated Generalized density or possible control both tail weights. Exponentiated generalized log-logistic distribution Lima and Cordeiro (2017) studied the mathematical and statistical properties of a new four-parameter survival model applying the exponentiated generalized (EG) class.…”

Section: Granzotto Et Al (2017) Introduced a New Parameter Induction Technique Of Generating Probability Distributions Calledmentioning

confidence: 99%

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On the Log-Logistic Distribution and Its Generalizations: A Survey

Muse¹,

Mwalili²,

Ngesa³

2021

IJSP

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In this paper, we present a review on the log-logistic distribution and some of its recent generalizations. We cite more than twenty distributions obtained by different generating families of univariate continuous distributions or compounding methods on the log-logistic distribution. We reviewed some log-logistic mathematical properties, including the eight different functions used to define lifetime distributions. These results were used to obtain the properties of some log-logistic generalizations from linear representations. A real-life data application is presented to compare some of the surveyed distributions.

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Section: Extensions Of Log-logistic Distributionmentioning

confidence: 99%

Section: Granzotto Et Al (2017) Introduced a New Parameter Induction Technique Of Generating Probability Distributions Calledmentioning

confidence: 99%

On the Log-Logistic Distribution and Its Generalizations: A Survey

Muse¹,

Mwalili²,

Ngesa³

2021

IJSP

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“…The data sets for East DWR (TDS mg l¯¹), Middle DWR (MCM) and West DWR (TDS mg l¯¹) follow log‐logistic (3P). The log‐logistic is a popular continuous probability distribution (Lima and Gauss, 2017) that is also known as the Fisk distribution (Fisk, 1961). Finally, the West DWR (MCM) follows the generalized extreme value distribution.…”

Section: Resultsmentioning

confidence: 99%

Drainage water reuse in the Nile Delta of Egypt: Fitting density functions and assessing temporal trends^*

Shaban

2020

Irrigation and Drainage

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This study attempts to investigate the variability in the current drainage water reuse pattern in terms of discharges (DWR (MCM) and their corresponding salinities (DWR (TDS mg l‾¹)) recorded since 1984 in the Nile Delta regions (Case I). In addition, the expected future DWR (DWR_E) patterns were simulated, taking into account the expected future reuse expansion projects (Case II). For Case I, basic descriptive statistics as well as non-parametric assessment for monotonous trends were employed to characterize the structure of the DWR discharge and salinity data sets. Also, best probability density functions (PDFs) were fitted as smoothed adaptations to predict the occurrence probability in a certain interval. These analyses were repeated (excluding trend assessment) for aggregated discharge and salinity data simulating the possible future DWR patterns (Case II). The results indicate that DWR discharge and salinity series had increasing trends except the DWR salinity measured in the Western Nile Delta region that showed an insignificant decreasing trend. The results also show that there is a potential for increasing the mean DWR discharges up to 101, 32.6 and 282% for the Eastern, Middle and Western Delta regions, respectively. This will be accompanied with DWR salinity increases up to 39.5, 11.4 and 46.1%, respectively. K E Y W O R D S drainage water reuse, Nile delta, non-parametric trend tests, probability density functions, water salinity Résumé Cette étude tente d'étudier la variabilité du schéma actuel de réutilisation des eaux de drainage en termes de rejets (DWR (MCM) et leurs salinités correspondantes (DWR (TDS mg l‾¹)) enregistrées depuis 1984 dans les régions du delta du Nil (cas I). De plus, les futurs modèles DWR attendus (DWR_E) ont été simulés en tenant compte des futurs projets d'expansion de réutilisation prévus (cas II). Pour cas I, des statistiques descriptives de base ainsi qu'une évaluation non paramétrique des tendances monotones ont été utilisées pour * Réutilisation de l'eau de drainage dans le Delta du Nil en Égypte: ajuster les fonctions de densité et évaluer les tendances temporelles.

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“…Degraded areas in the Amazon Basin with decreased soil organic matter impose multiple nutrient limitations restricting photochemical activities and plant growth [19,20]. Studies have demonstrated the effects of fertilization on biomass growth during forest restoration with leguminous trees [21,22]. Fertilization effects may enhance the drought tolerance of species due to increased quantum yield [23,24].…”

Section: Introductionmentioning

confidence: 99%

Fertilization and seasonality influence on the photochemical performance of tree legumes in forest plantation for area recovery in the Amazon

et al. 2021

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N-fixing leguminous species can reach atmospheric dinitrogen gas (N2), having an advantage under N-limited degraded environments. These N-fixers are constantly used as facilitative species. Chlorophyll a fluorescence (ChF) acknowledges how different species take up and use light energy during photosynthesis. These techniques assess stress and performance responses to photosynthesis and are used for the selection of species with potential for reforestation. Six Fabaceae species were selected for this study: three nonfixing species (Cenostigma tocantinum, Senna reticulata and Dipteryx odorata) and three N-fixing species (Clitoria fairchildiana, Inga edulis and Acacia spp.). Variations in chlorophyll fluorescence under high vs. low water and nutrient conditions were studied. Multivariate analysis was performed to detect the effects of seasonality and fertilization on dark-adapted ChF two years after the experiment was established. The correlation among ChF variables and growth, photosynthesis and foliar nutrient concentrations was evaluated. Under high water- and nutrient-availability conditions, plants exhibited an enhanced performance index on absorption basis values correlated with electron transport fluxes. Under drought and nutrient-poor conditions, most species exhibit increased energy dissipation as photoprotection. High interspecific variation was found; therefore, species-specific responses should be considered in future ChF studies. Corroborating the ability to colonize high-light environments, N-fixers showed an increased performance index correlated with electron transport and Zn and N foliar concentrations. Negative correlations were found between photosynthesis and trapped fluxes. Diameter growth was positively correlated with electron transport fluxes. Given the different responses among species, ChF is an effective technique to screen for seasonality, fertilization and species effects and should be considered for use during forest restoration. Finally, the addition of fertilization treatments may facilitate tropical forest restoration due to the importance of nutrients in physiological processes. N-fixers showed high photochemical performance and tolerance to abiotic stress in degraded areas and therefore should be included to support ecosystem biomass restoration.

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The Extended Log-Logistic Distribution: Properties and Application

Cited by 17 publications

References 15 publications

On the Log-Logistic Distribution and Its Generalizations: A Survey

On the Log-Logistic Distribution and Its Generalizations: A Survey

Drainage water reuse in the Nile Delta of Egypt: Fitting density functions and assessing temporal trends^*

Fertilization and seasonality influence on the photochemical performance of tree legumes in forest plantation for area recovery in the Amazon

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The Extended Log-Logistic Distribution: Properties and Application

Cited by 17 publications

References 15 publications

On the Log-Logistic Distribution and Its Generalizations: A Survey

On the Log-Logistic Distribution and Its Generalizations: A Survey

Drainage water reuse in the Nile Delta of Egypt: Fitting density functions and assessing temporal trends*

Fertilization and seasonality influence on the photochemical performance of tree legumes in forest plantation for area recovery in the Amazon

Contact Info

Product

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Drainage water reuse in the Nile Delta of Egypt: Fitting density functions and assessing temporal trends^*