A ‎n‎ew weighting approach to Non-Parametric composite indices compared with principal components analysis‎

Introduction of Human Development Index (HDI) by UNDP in early ۱۹۹۰ followed a surge in use of non-parametric and parametric indices for measurement and comparison of countries performance in development, globalization, competition, well-being and etc. The HDI is a composite index of three indicators. Its components are to reflect three major dimensions of human development: longevity, knowledge and access to resources represented by GDP per capita, educational attainment and life expectancy. In recent years additional gender and poverty aspects are included. A known example of the non-parametric index is the HDI, while Principal Components Analysis (PCA) and Factor Analysis (FA) are among the parametric counterparts. The indices differ mainly in respect to weighting the indicators in their aggregation. The non-parametric index assumes the weights, while the parametric approach estimates them. In this research, it  is aimed to purpose a new weighting approach to non-parametric indices when they are used simultaneous with principal components ‎analysis.‎