Latent Regression with Constrained Parameters to Determine the Weight Coefficients in Summary Index Model Qiaoling Tong a , Xuecheng Zou a , Qian Ding b , Tianzhen Liu b & Hengqing Tong c a Department of Electronic Science & Technology, Huazhong University of Science & Technology, Wuhan, China b School of Urban Design, Wuhan University, Wuhan, Hubei, China c Department of Mathematics, Wuhan Uni...

in this research between 3-dimensional and axisymmetric modeling for movement of nano-particles in passing through a aerodynamic lens, and also between these models and famous model of wang & liu was compared. for this purpose, output of nano-particles penetration, divergence angel, and nano-particle velocity with wang & liu model was compared. geometrical model used for aerodynamic lens compar...

The real life decisions are usually made in the state of uncertainty. This fact providesa motivation to study the behavior of uncertain phenomena. In order to deal withsubjective uncertainty, Liu (2007) founded an uncertainty theory that is a branch ofmathematics based on normality, monotonicity, self-duality, countable subadditivity,and product measure axioms. After that, u...

In the linear regression models with AR (1) error structure when collinearity exists, stochastic linear restrictions or modifications of biased estimators (including Liu estimators) can be used to reduce the estimated variance of the regression coefficients estimates. In this paper, the combination of the biased Liu estimator and stochastic linear restrictions estimator is considered to overcom...

Because the reeector is horizontal, the raypaths from the source and the receiver are symmetric. We have cos s = cos r = z

Outliers and multi-collinearity often have large influence in the model/variable selection process in linear regression analysis. To investigate this combined problem of multi-collinearity and outliers, we studied and compared Liu-type S (liuS-estimators) and Liu-type Least Trimmed Squares (liuLTS) estimators as robust model selection criteria. Therefore, the main goal this study is to select s...