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Open AccessArticle

Application of the Kernel Density Function for the Analysis of Regional Growth and Convergence in the Service Sector through Productivity

1
Department of Economics, Universidad Técnica Particular de Loja (UTPL), Loja 11-01-608, Ecuador
2
Researcher and Consultant in Economics and Business, Loja 11-01-608, Ecuador
3
Financial Economy and Accounting Department, Faculty of Business, Finance and Tourism, University of Extremadura, 10071 Cáceres, Spain
4
Business Management and Marketing Department, Faculty of Business Sciences and Tourism, University of Vigo, 32004 Ourense, Spain
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(8), 1234; https://doi.org/10.3390/math8081234
Received: 23 June 2020 / Revised: 24 July 2020 / Accepted: 24 July 2020 / Published: 27 July 2020
(This article belongs to the Special Issue Mathematical Modeling of Socio-Economic Systems)
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. View Full-Text
Keywords: economic growth; regional growth; regional convergence; service sector; productivity; kernel density function economic growth; regional growth; regional convergence; service sector; productivity; kernel density function
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MDPI and ACS Style

Correa-Quezada, R.; Cueva-Rodríguez, L.; Álvarez-García, J.; del Río-Rama, M.d.l.C. Application of the Kernel Density Function for the Analysis of Regional Growth and Convergence in the Service Sector through Productivity. Mathematics 2020, 8, 1234. https://doi.org/10.3390/math8081234

AMA Style

Correa-Quezada R, Cueva-Rodríguez L, Álvarez-García J, del Río-Rama MdlC. Application of the Kernel Density Function for the Analysis of Regional Growth and Convergence in the Service Sector through Productivity. Mathematics. 2020; 8(8):1234. https://doi.org/10.3390/math8081234

Chicago/Turabian Style

Correa-Quezada, Ronny; Cueva-Rodríguez, Lucía; Álvarez-García, José; del Río-Rama, María d.l.C. 2020. "Application of the Kernel Density Function for the Analysis of Regional Growth and Convergence in the Service Sector through Productivity" Mathematics 8, no. 8: 1234. https://doi.org/10.3390/math8081234

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