A generalized control chart for anomaly detection in SAR imagery

Sagrillo, Murilo; Guerra, Renata Rojas; Machado, Renato; Bayer, Fábio M.

doi:10.1016/j.cie.2023.109030

Cited by 7 publications

(2 citation statements)

References 33 publications

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“…Table 1 provides a review of some BXII generalizations through different G families or transformation methods. The BXII distribution also finds extensive application in diverse fields, such as remote sensing [9], econometrics [8], and environmetrics [10]. The cdf of the LBXII distribution is given by (for x > 0)…”

Section: Introductionmentioning

confidence: 99%

The Logistic Burr XII Distribution: Properties and Applications to Income Data

Guerra,

Peña-Ramírez,

Cordeiro

2023

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We define and study the four-parameter logistic Burr XII distribution. It is obtained by inserting the three-parameter Burr XII distribution as the baseline in the logistic-X family and may be a useful alternative method to model income distribution and could be applied to other areas. We illustrate that the new distribution can have decreasing and upside-down-bathtub hazard functions and that its density function is an infinite linear combination of Burr XII densities. Some mathematical properties of the proposed model are determined, such as the quantile function, ordinary and incomplete moments, and generating function. We also obtain the maximum likelihood estimators of the model parameters and perform a Monte Carlo simulation study. Further, we present a parametric regression model based on the introduced distribution as an alternative to the location-scale regression model. The potentiality of the new distribution is illustrated by means of two applications to income data sets.

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Section: Introductionmentioning

confidence: 99%

The Logistic Burr XII Distribution: Properties and Applications to Income Data

Guerra,

Peña-Ramírez,

Cordeiro

2023

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“…In the methodological scope, some properties of the model were explored by [10][11][12]. Generalizations of the BXII distribution have also been explored in recent years, for example, the distributions Marshall-Olkin generalized Burr XII [13], Reflected Unit Burr XII [14], Generalized log-logistic Burr XII [13], and Burr SAR b distribution [15]. In recent literature, several types of research have been devoted to the development of time series models under the assumption of non-Gaussian distributions.…”

Section: Introductionmentioning

confidence: 99%