The unit ratio-extended Weibull family and the dropout rate in Brazilian undergraduate courses.

We propose a new family of distributions, so-called the unit ratio-extended Weibull family ([Formula: see text]). It is derived from ratio transformation in an extended Weibull random variable. The use of this transformation is a novelty of the work since it has been less explored than the exponential and has not yet been studied within the extended Weibull class. Moreover, we offer a valuable alternative to model double-bounded variables on the unit interval. Five [Formula: see text] special models are studied in detail, namely the: i) unit ratio-Gompertz; ii) unit ratio-Burr XII; iii) unit ratio-Lomax; v) unit ratio-Rayleigh, and vi) unit ratio-Weibull distributions. We propose a quantile-parameterization for the new family. The maximum likelihood estimators (MLEs) are presented. A Monte Carlo study is performed to evaluate the behavior of the MLEs of unit ratio-Gompertz and unit ratio-Rayleigh distributions. This last model has closed-form and approximately unbiased MLE for small sample sizes. Further, the [Formula: see text] submodels are adjusted to the dropout rate in Brazilian undergraduate courses. We focus on the areas of civil engineering, economics, computer sciences, and control engineering. The applications show that the new family is suitable for modeling educational data and may provide effective alternatives compared to other usual unit models, such as the Beta, Kumaraswamy, and unit gamma distributions. They can also outperform some recent contributions in the unit distribution literature. Thus, the [Formula: see text] family can provide competitive alternatives when those models are unsuitable.

Sarcocystis spp. detection in cattle using different diagnostic methods / Detecção de Sarcocystis spp. em bovinos usando diferentes métodos de diagnóstico

Cattle are considered intermediate hosts of Sarcocystis, which can cause clinical signs and lower performance in the acute phase of infection. Sarcocystis spp. are usually not visible to the naked eye during the post mortem inspection. Moreover, fresh microscopic examination and transmission electron microscopy techniques are difficult to apply to large samples. Therefore, extensive studies on Sarcocystis infection in cattle using molecular and serological methods are required. Here, we investigated Sarcocystis spp. infection in cattle using fresh microscopic examination and polymerase chain reaction of myocardium samples and compared the results with the presence of antibodies against Sarcocystis spp. in corresponding serum samples detected using indirect fluorescent antibody test. Microscopic Sarcocystis were observed in 100% of the myocardial samples, and Sarcocystis DNA was present in 86% (43/50) of these samples. Antibodies against Sarcocystis spp. were detected in 96% (48/50) and 80% (40/50) of the serum samples at 1:25 and 1:200 dilutions, respectively. The three associated methods (fresh microscopic examination, PCR and serology) showed good sensitivity and detection for Sarcocystis spp. compared with fresh microscopic examination (only), and they may facilitate diagnosis in live animals on a large scale as well as monitoring of the herd status.

Os bovinos são considerados hospedeiros intermediários de Sarcocystis, podendo causar sinais clínicos e menor desempenho na fase aguda da infecção. Sarcocystis spp. geralmente não são visíveis a olho nu durante a inspeção post mortem. Além disso, o exame microscópico a fresco e as técnicas de microscopia eletrônica de transmissão são difíceis de aplicar a uma amostras de grande tamanho. Portanto, são necessários extensos estudos sobre a infecção por Sarcocystis em bovinos usando métodos moleculares e sorológicos. Aqui, investigamos a infecção de Sarcocystis spp. em bovinos por meio de exame microscópico a fresco e reação em cadeia da polimerase de amostras de miocárdio e comparado os resultados com a presença de anticorpos contra Sarcocystis spp. em amostras de soro correspondentes detectadas usando o teste de anticorpos fluorescentes indiretos. Sarcocistos microscópicos foram observados em 100% das amostras de miocárdio, e o DNA de Sarcocystis estava presente em 86% (43/50) dessas amostras. Anticorpos contra Sarcocystis spp. foram detectados em 96% (48/50) e 80% (40/50) das amostras de soro nas diluições 1:25 e 1:200, respectivamente. Os três métodos associados (exame microscópico a fresco, PCR e sorologia) mostraram boa sensibilidade e detecção para Sarcocystis spp. em comparação com o exame microscópico fresco (apenas) e podem facilitar o diagnóstico em animais vivos em larga escala, bem como o monitoramento do status do rebanho.

The Nadarajah-Haghighi Lindley distribution.

We define a new lifetime model based on compounding the Lindley and Nadarajah-Haghighi distributions. The proposed distribution is very competitive to other lifetime models. Some of its mathematical properties are investigated including generating function, mean residual life, moments, Bonferroni and Lorenz curves and mean deviations. We discuss the estimation of the model parameters by maximum likelihood. We provide a simulation study and two applications to real data for illustrative purposes. We prove empirically that the new distribution yields good fits to both data sets, and it can be a useful alternative for other classical lifetime models.

The Exponentiated Power Generalized Weibull: Properties and Applications.

We propose a new lifetime model called the exponentiated power generalized Weibull (EPGW) distribution, which is obtained from the exponentiated family applied to the power generalized Weibull (PGW) distribution. It can also be derived from a power transform on an exponentiated Nadarajah-Haghighi random variable. Since several structural properties of the PGW distribution have not been studied, they can be obtained from those of the EPGW distribution. The model is very flexible for modeling all common types of hazard rate functions. It is a very competitive model to the well-known Weibull, exponentiated exponential and exponentiated Weibull distributions, among others. We also give a physical motivation for the new distribution if the power parameter is an integer. Some of its mathematical properties are investigated. We discuss estimation of the model parameters by maximum likelihood and provide two applications to real data. A simulation study is performed in order to examine the accuracy of the maximum likelihood estimators of the model parameters.