Abstract In many fields of applications, linear regression is the most widely used statistical method to analyze effect a set explanatory variables on response variable interest. Classical least squares focuses conditional mean response, while quantile extends view quantiles. Quantile very convenient, whereas classical parametric assumptions do not hold and/or when relevant information lies in ...

Abstract: Identifying influential observations is an important part of the model building process in linear regression. There are numerous diagnostic measures based on different approaches in linear regression analysis. However, the problem of multicollinearity and influential observations may occur simultaneously. Therefore, we propose new diagnostic measures based on the two parameter ridge e...

Metabolic P grammars are a particular class of multiset rewriting grammars introduced in the MP systems’ theory for modelling metabolic processes. In this paper, a new algebraic formulation of inverse dynamical problems, based on MP grammars and Kronecker product, is given, for further motivating the correctness of the LGSS (Log-gain Stoichiometric Stepwise) algorithm, introduced in 2010s for s...