## Nonparametric checks for single-index models

NONPARAMETRIC CHECKS FOR SINGLE-INDEX MODELS By Winfried Stute and Li-Xing Zhu1 University of Giessen and University of Hong Kong and East China Normal University at Shanghai In this paper we studygoodness-of-ﬁt testing of single-index mod-els. The large sample behavior of certain score-type test statistics is investigated. For the single-index model, the large sample properties show that the estimators with both parametric and nonparametric plug-in estimations can play an important role to achieve smaller limiting

Model checking for parametric single-index models: A dimension reduction non-parametric regression estimation is one of the main model checking  Summary. We provide a proof for the identifiability for both single-index models and partially linear Nonparametric checks for single-index models. Ann. Statist. 22 Aug 2016 However, extension of the available nonparametric techniques The model described in (1) is what we name the double single index model For example, to check whether TY can be adequately modeled by a single index  Let (X,Y) be a random pair taking values in Rp × R. In the so-called single-index model, one has Y = f*(θ*TX)+W, where f* is an unknown univariate measurable

## Model checking for parametric single-index models: A dimension-reduction model-adaptive approach A model check must ther efor e be perf ormed. A practical ex- non-parametric model.

Model checking for parametric single-index models: A dimension-reduction model-adaptive approach A model check must ther efor e be perf ormed. A practical ex- non-parametric model. NONPARAMETRIC MODEL CHECKS OF SINGLE-INDEX ASSUMPTIONS Samuel Maistre1;2;3 and Valentin Patilea1 1CREST (Ensai) 2Universit e de Lyon 3Universit e de Strasbourg Supplementary Material This supplementary material contains additional proofs, details and technical lemmas. S1 Additional proofs and details S1.1 Proof of Lemma A.1 Lemma A.1. Nonparametric Checks For Single-Index Models . By Winfried Stute and Li-xing Zhu. Abstract. In this paper we study goodness-of-fit testing of single-index models. The large sample behavior of certain score-type test statistics is investigated. As a by-product, we obtain asymptotically distributionfree maximin tests for a large class of local Abstract Semiparametric single-index assumptions are convenient and widely used dimen\-sion reduction approaches that represent a compromise between the parametric and fully nonparametric models for regressions or conditional laws. Abstract. 36 pages, 3 figuresSemiparametric single-index assumptions are convenient and widely used dimen\-sion reduction approaches that represent a compromise between the parametric and fully nonparametric models for regressions or conditional laws. To test heteroscedasticity in single index models, in this paper two test statistics are proposed via quadratic conditional moments. Without the use of dimension reduction structure, the first test has the usual convergence rate in nonparametric sense.

### This paper is devoted to implementing model checking for parametric single-index models with missing responses at random. Two dimension reduction adaptive-to-model tests applying to the missing responses situation are proposed.

 suggested a test for parametric variance function in nonparametric regression model.  also considered the heteroscedasticity checking in nonlinear and  Local smoothing testing based on multivariate nonparametric regression estimation is one of the main model checking methodologies in the literature. However,  Abstract: The single-index model with an unknown link function is a generalized lin- The bias problem in estimation is an important issue in nonparametric in- In this article, we have constructed a Cramér-von Mises test to check the. Abstract: The single-index model with an unknown link function is a gen ear model The bias problem in estimation is an important issue in nonparametric in ference but In this article, we have constructed a Cramйr-von Mises test to check. This article presents new nonparametric tests for heteroscedasticity in nonlinear Checking Heteroscedasticity in Partially Linear Single-Index Models Using  I dont know how to compare Semipar Single index with other models. of fully non-parametric models, partially linear models and index models. I'm pretty sure it will do what you are after but not absolutely - just check the vignette i guess.

### This paper focuses on a single-index model for the conditional quantile. Chaudhuri, P. (1991) Nonparametric estimates of regression quantiles and their local

Nonparametric model checks for regression Stute, Winfried, The Annals of Statistics, 1997 A general class of function-indexed nonparametric tests for survival analysis Lin, Chin-Yu and Kosorok, Michael R., single-index model nonparametric check large sample behavior moderate sample size peak alternative simulation result limit distribution distributionfree maximin test goodness-of-fit test local alternative certain score-type test statistic characteristic function large class real data set goodness-of-fit testing

## This paper focuses on a single-index model for the conditional quantile. Chaudhuri, P. (1991) Nonparametric estimates of regression quantiles and their local

22 Aug 2016 However, extension of the available nonparametric techniques The model described in (1) is what we name the double single index model For example, to check whether TY can be adequately modeled by a single index  Let (X,Y) be a random pair taking values in Rp × R. In the so-called single-index model, one has Y = f*(θ*TX)+W, where f* is an unknown univariate measurable  single-index models, generalized partially linear models, generalized partially linear Various parametric and nonparametric methods can be used to solve clas- (3) and proposed a test procedure for checking whether the function r has a. Index Terms — Single-index model, sparsity, regression estimation, approach to reach this goal is to use a nonparametric smoother (for instance, a kernel or a we encourage the users to inspect the convergence of the chains by checking. This paper focuses on a single-index model for the conditional quantile. Chaudhuri, P. (1991) Nonparametric estimates of regression quantiles and their local  achieve greater estimation precision than do fully nonparametric models, and they nests semiparametric single index models and nonparametric additive informal, graphical method for checking the additive and single-index specifications.

NONPARAMETRIC CHECKS FOR SINGLE-INDEX MODELS By Winfried Stute and Li-Xing Zhu1 University of Giessen and University of Hong Kong and East China Normal University at Shanghai In this paper we studygoodness-of-ﬁt testing of single-index mod-els. The large sample behavior of certain score-type test statistics is investigated. For the single-index model, the large sample properties show that the estimators with both parametric and nonparametric plug-in estimations can play an important role to achieve smaller limiting Nonparametric model checks for regression Stute, Winfried, The Annals of Statistics, 1997 A general class of function-indexed nonparametric tests for survival analysis Lin, Chin-Yu and Kosorok, Michael R.,