The Zero, One and Zero-and-One-Inflated New Unit-Lindley Distributions

FERREIRA, André Bisca; Mazucheli, Josmar

doi:10.28951/bjb.v40i3.571

Cited by 4 publications

(4 citation statements)

References 18 publications

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“…The data obtained in the analyses were subjected to analysis of variance, where the means were compared using the Scott – Knott test with a significance level of 5 % using Sisvar, version 5.7 [32] . Statistica version 13.3 (StatSoft, Tulsa, OK, USA) was used for principal component analysis (PCA).…”

Section: Methodsmentioning

confidence: 99%

Impact of Colored Shade Nets on Biomass Production, Essential Oil Composition and Orientin and Isoorientin Content in Lippia gracilis Schauer

Viana,

Alves de Carvalho,

Alves de Assis

et al. 2023

Chemistry & Biodiversity

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The objective of this study was to evaluate the effect of ChromatiNet on vegetative growth, total antioxidant capacity, phenolic and essential oils (EOs) composition of Lippia gracilis. The plants were cultivated under full sunlight, black, blue and red ChromatiNet. The flavonoid content and antioxidant capacity were quantified spectrophotometrically. The C‐glycosylflavone isomers (orientin and isoorientin) were isolated and identified by conventional spectroscopic techniques and measured using high‐performance liquid chromatography‐diode array detection. The EO was analysed by gas chromatography and gas chromatography‐mass spectrometry. Environment influenced growth, total antioxidant capacity and phytochemical levels. Shoot dry weight, thymol, carvacrol and (E)‐caryophyllene were favoured under red and black ChromatiNet. Root growth, EOs, caryophyllene oxide, p‐cymene, flavonoids, orientin and isoorientin were favoured in sunlight. Growth and accumulation of EOs, flavonoids and photosynthetic pigments increased under blue ChromatiNet. Therefore, Lippia gracilis plants have plasticity related to the spectral quality of light and it cultivate depends of the phytochemicals of interest.

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Section: Methodsmentioning

confidence: 99%

Impact of Colored Shade Nets on Biomass Production, Essential Oil Composition and Orientin and Isoorientin Content in Lippia gracilis Schauer

Viana,

Alves de Carvalho,

Alves de Assis

et al. 2023

Chemistry & Biodiversity

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“…Mazucheli et al [15] use this representation in the Lindley distribution, obtaining a distribution called New Unit-Lindley (NUL). Applications of the NUL distribution are given in Ferreira and Mazucheli [18] and Alrumayh et al [19], among others.…”

Section: Stochastic Representationmentioning

confidence: 99%

Modified Unit-Half-Normal Distribution with Applications

Alvarez,

Varela,

Cortés

et al. 2023

Mathematics

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In this article, we introduce a new continuous distribution based on the unit interval. This distribution is generated from a transformation of a random variable with half-normal distribution. We study its basic properties, percentiles, moments and order statistics. Maximum likelihood estimation is applied, and we present a simulation study to observe the behavior of the maximum likelihood estimators. We examine two applications to real proportions datasets, where the new distribution is shown to provide a better fit than other distributions defined in the unit interval.

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“…These models describe data with support in unit intervals and are often obtained by applying transformations to random variables. These include the unit-Burr III [10,11], unit-Lindley [12], unit-Gompertz [13], unit-Burr XII [14], unit inverse Gaussian [15], the arcsecant hyperbolic normal model [16], and logit slash [17], to name a few, as well as some new families of distributions [18,19].…”

Section: Introductionmentioning

confidence: 99%

Unit Distributions: A General Framework, Some Special Cases, and the Regression Unit-Dagum Models

Condino

Domma

2023

Mathematics

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In this work, we propose a general framework for models with support in the unit interval, which is obtained using the technique of random variable transformations. For this class, the general expressions of distribution and density functions are given, together with the principal characteristics, such as quantiles, moments, and hazard and reverse hazard functions. It is possible to verify that different proposals already present in the literature can be seen as particular cases of this general structure by choosing a suitable transformation. Moreover, we focus on the class of unit-Dagum distributions and, by specifying two different kinds of transformations, we propose the type I and type II unit-Dagum distributions. For these two models, we first consider the possibility of expressing the distribution in terms of indicators of interest, and then, through the regression approach, relate the indicators and covariates. Finally, some applications using data on the unit interval are reported.

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The Zero, One and Zero-and-One-Inflated New Unit-Lindley Distributions

Cited by 4 publications

References 18 publications

Impact of Colored Shade Nets on Biomass Production, Essential Oil Composition and Orientin and Isoorientin Content in Lippia gracilis Schauer

Impact of Colored Shade Nets on Biomass Production, Essential Oil Composition and Orientin and Isoorientin Content in Lippia gracilis Schauer

Modified Unit-Half-Normal Distribution with Applications

Unit Distributions: A General Framework, Some Special Cases, and the Regression Unit-Dagum Models

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