Slash-elliptical nonlinear regression model

Skew-slash distribution and its application in topics regression

In many issues of statistical modeling, the common assumption is that observations are normally distributed. In many real data applications, however, the true distribution is deviated from the normal. Thus, the main concern of most recent studies on analyzing data is to construct and the use of alternative distributions. In this regard, new classes of distributions such as slash and skew-sla...

Nonlinear‎ ‎Regression Models Based on Slash‎ ‎Skew-Elliptical Errors

‎In this paper‎, ‎the nonlinear regression models when the model errors follow a slash‎ ‎skew-elliptical distribution‎, ‎are considered‎. ‎In the special case‎ ‎of nonlinear regression models under slash skew-t distribution‎, ‎we‎ ‎present some distributional properties‎, ‎and to estimate their‎ ‎parameters‎, ‎w...

Nonlinear regression model generation using hyperparameter optimization

An algorithm of the inductive model generation and model selection is proposed to solve the problem of automatic construction of regression models. A regression model is an admissible superposition of smooth functions given by experts. Coherent Bayesian inference is used to estimate model parameters. It introduces hyperparameters, which describe the distribution function of the model parameters...

Nonlinear regression

Robust Sparse Principal Component Regression under the High Dimensional Elliptical Model

In this paper we focus on the principal component regression and its application to high dimension non-Gaussian data. The major contributions are two folds. First, in low dimensions and under the Gaussian model, by borrowing the strength from recent development in minimax optimal principal component estimation, we first time sharply characterize the potential advantage of classical principal co...