Over the last twenty-five years, various n-consistent estimators have been devised for the
coefficient vector in the popular semiparametric single-index model. In this paper, we prove …

Based on a residual marked empirical process, Cramér–von Mises and Kolmogorov–
Smirnov tests are proposed for the correct specification of the nonparametric components in …

Estimation and hypothesis test for partial linear single-index multiplicative models are
considered in this paper. To estimate unknown single-index parameter, we propose a profile …

We propose a projection-based test to check logistic regression models when the dimension
of the covariate vector may be divergent. The proposed test achieves a reduction in …

We propose a projection-based test to check partially linear models. The proposed test
achieves a reduction in dimension and, in the presence of multiple linear regressors …

Estimation and hypothesis test for varying coefficient single-index multiplicative models are
considered in this paper. To estimate an unknown single-index parameter, a profile product …

In this paper, we consider the lack-of-fit test of a parametric model when the response
variable is missing at random. The popular imputation and inverse probability weighting …

In this paper, we investigate the model checking problem of a partially linear model when
some covariates are measured with error and some auxiliary variables are supplied. The …

In this work, we study the diagnostics of parametric regression models when both the
response variable and the covariates are distorted by errors. We employ a projected …

In this article, we study the adequacy test of the partial functional linear model when the
scalar predictors are measured with additive errors. Based on a corrected profile least …