The aim of this research work is to analyze growth and convergence processes in the service sector and its large groups, market, and non-market services, at the regional level in Ecuador by taking the labor productivity variable as a reference. The methodology used is an analysis of distributive dynamics of the data, applying the non-parametric method of Kernel density functions from a mathematical economics approach. The results obtained show that the service sector has non-alarming levels of inequality, its trend over time is increasing. When disaggregating the data, it was observed that non-market services show a rapid growth in inequality. In contrast, market services show greater stability during the period analyzed. Regarding intra-distribution dynamics for the service sector and its subsectors, in the long term, poor regions improve, while rich regions deteriorate. However, deterioration of advanced regions is less intense in non-market services.

中文翻译：

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核密度函数在通过生产率分析服务业区域增长和趋同中的应用

这项研究工作的目的是通过以劳动生产率变量为参考，分析厄瓜多尔区域一级服务业及其大型团体，市场和非市场服务的增长和融合过程。所使用的方法是对数据的分布动力学进行分析，并采用数学经济学方法中的非参数核密度函数方法。获得的结果表明，服务业的不平等程度处于非警报水平，其趋势随着时间而增长。在分解数据时，观察到非市场服务的不平等迅速增长。相反，市场服务在分析期间显示出更大的稳定性。关于服务部门及其子部门的内部分配动态，从长期来看，贫困地区会有所改善，而富裕地区恶化。但是，在非市场服务领域，发达地区的恶化程度较小。