The generalized maximum Tsallis entropy estimators and applications to the Portland cement dataset

• Published in: Communications in statistics. Simulation and computation Vol. 46; no. 4; pp. 3284 - 3293
• Main Authors: Tabass, M. Sanei, Borzadaran, G. R. Mohtashami
• Format: Journal Article
• Language: English
• Published: Philadelphia Taylor & Francis 21.04.2017; Taylor & Francis Ltd
• Subjects: Cement; Economic models; Entropy; Generalized maximum Tsallis entropy; Least-square estimator; Linear regression model; Multicollinearity; Primary 62B10; Regression analysis; Secondary 94A17; Support points

Tsallis entropy is a generalized form of entropy and tends to be Shannon entropy when q → 1. Using Tsallis entropy, an alternative estimation methodology (generalized maximum Tsallis entropy) is introduced and used to estimate the parameters in a linear regression model when the basic data are ill-c...