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Inflated Kumaraswamy regressions with application to water supply and sanitation in Brazil

机译：用应用于巴西的供水和卫生应用膨胀了Kumaraswamy回归

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摘要

Models based on the Kumaraswamy law are used with variables that assume values in (0, 1). In some cases, however, the data contain zeros and/or ones, that is, there is data inflation. We introduce a class of regression models that can be used with such inflated data, namely: the class of inflated Kumaraswamy regression models. We consider inflation at zero, at one, and at both zero and one. We introduce the model and provide closed-form expressions for its score vector and Fisher's information matrix. The proposed model is used to evaluate the impacts of different conditioning variables on the proportion of people who live in households with inadequate water supply and sewage in Brazilian municipalities. Our results reveal that policies directed to increasing the population share with college education in places where it is low are particularly effective in reducing the prevalence of people who live under inadequate sanitation conditions.
机译：基于Kumaraswamy法律的模型用于假设（0,1）中的值的变量。 然而，在某些情况下，数据包含零和/或其中，即存在数据通货膨胀。 我们介绍了一类可与这种膨胀数据一起使用的回归模型，即：膨胀的Kumaraswamy回归模型。 我们将通货膨胀视为零，零和零一个。 我们介绍该模型，为其分数矢量和Fisher的信息矩阵提供封闭式表达式。 拟议的模型用于评估不同调节变量对居住在巴西市供水和污水不足的家庭的比例的影响。 我们的研究结果表明，在较低的地方与大学教育增加人口份额的政策尤为有效地降低卫生条件不足的人民的患病率。

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