Uncertain hypothesis testing of multivariate uncertain regression model

Abstract

The multivariate uncertain regression model reveals the relationship between the explanatory and response variables to us very effectively. In this paper, firstly, the uncertain maximum likelihood estimation method for the parameters of the one-dimensional uncertain regression model is extended to the multivariate uncertain regression model to obtain estimates of the parameters. Secondly, in order to determine the reasonableness of the estimated values that are obtained by the various parameter estimation methods, uncertain hypothesis testing is applied to the multivariate uncertain regression model. Finally, some numerical examples are given to verify the feasibility of the method.