Sunspot cycle prediction using multivariate regression and binary mixture of Laplace distribution model

Robust mixture regression model fitting by Laplace distribution

A robust estimation procedure for mixture linear regression models is proposed by assuming that the error terms follow a Laplace distribution. The estimation procedure is implemented by an EM algorithm based on the fact that the Laplace distribution is a scale mixture of a normal distribution. Finite sample performance of the proposed algorithm is evaluated by numerical simulation studies. The ...

Prediction of Antibiotics Residues in Raw Milk by Using Binary Logistic Regression Model

medical compounds, especially antibiotics, in which remains in milk and dairy products on the one hand causes health problems such as allergic reactions and Development of bacterial resistance to antibiotics are a serious threat to the health of consumers , and on the other hand, industrial troubles such as failure to produce fermented products can cause the milk back to the rancher. The purpos...

Prediction of Antibiotics Residues in Raw Milk by Using Binary Logistic Regression Model

medical compounds, especially antibiotics, in which remains in milk and dairy products on the one hand causes health problems such as allergic reactions and Development of bacterial resistance to antibiotics are a serious threat to the health of consumers , and on the other hand, industrial troubles such as failure to produce fermented products can cause the milk back to the rancher. The purpos...

Screening for a Multivariate Mixture Normal Distribution

Robust Mixture Regression Models Using T - Distribution

In this report, we propose a robust mixture of regression based on t-distribution by extending the mixture of t-distributions proposed by Peel and McLachlan (2000) to the regression setting. This new mixture of regression model is robust to outliers in y direction but not robust to the outliers with high leverage points. In order to combat this, we also propose a modified version of the propose...