The underlying physics of astronomical systems governs the relation between their measurable properties. Consequently, quantifying statistical relationships system-level observable properties a population offers insights into astrophysical drivers that class systems. While purely linear models capture behavior over limited range system scale, fact astrophysics is ultimately scale-dependent impl...

Investigation of soil properties like Cation Exchange Capacity (CEC) plays important roles in study of environmental reaserches as the spatial and temporal variability of this property have been led to development of indirect methods in estimation of this soil characteristic. Pedotransfer functions (PTFs) provide an alternative by estimating soil parameters from more readily available soil data...

In this work, we consider a multivariate regression model with one-sided errors. We assume for the function to lie in general Hölder class and estimate it via nonparametric local polynomial approach that consists of minimization integral approximation lying above data points. While consideration covariates offers an undeniable opportunity from application-oriented standpoint, requires new metho...