Consider a semiparametric regression model Y= Z β+ m (X)+ ϵ, with Y being the response
variable, X and Z being the covariates, β the unknown parameter, m (·) an unknown function …

, considering the ordered X and the third order difference of Y with an motive to address the
same issue of independence. We deduce the asymptotic distributions of test statistics using …

We construct linear hypotheses tests for the regression function in nonparametric regression
model in the case of a homoscedastic error structure and a fixed design. The test statistic we …

Regression analysis is known as statistical methods applied to model and analyze the
relationship between variables. Regression method can be examined as parametric, non …

When the nonparametric methodology is used for the model fitting based on regression
technique, then how to judge the goodness of fit of the model is an issue that is addressed in …

This paper is concerned with the development of a nonparametric procedure for the
statistical inference about the nonlinear regression parameters. A confidence region and a …

This article proposes a new general methodology for constructing nonparametric asymptotic
distribution-free tests for semiparametric hypotheses in regression models. Tests are based …

A test is proposed for testing parametric regression against nonparametric regression using
variable Nadaraya-Watson (NW) estimator based on half range along with its variant …

In the context of nonparametric regression, statistical relationship between the covariate and
the random error is a matter of interest. For a traditional nonparametric regression model Y …

Consider a heteroscedastic regression model Y= m (X)+ σ (X) ε, where m (X)= E (Y| X) and σ
2 (X)= Var (Y| X) are unknown, and the error ε is independent of the covariate X. We propose …