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One goal in survival analysis of right-censored data is to estimate the marginal survival function in the presence of dependent censoring. When many auxiliary covariates are sufficient to explain the dependent censoring, estimation based on…

Statistics Theory · Mathematics 2007-06-13 Donglin Zeng

In this paper, we built a new nonparametric regression estimator with the local linear method by using the mean squared relative error as a loss function when the data are subject to random right censoring. We establish the uniform almost…

Statistics Theory · Mathematics 2020-04-07 Feriel Bouhadjera , Elias Saïd

In this paper, we establish weak consistency and asymptotic normality of an M-estimator of the regression function for left truncated and right censored (LTRC) model, where it is assumed that the observations form a stationary alpha-mixing…

Statistics Theory · Mathematics 2023-05-09 Hassiba Benseradj , Zohra Guessoum

In this paper, we study the behavior of a kernel estimator of the regression function in the right censored model with $\alpha$-mixing data . The uniform strong consistency over a real compact set of the estimate is established along with a…

Statistics Theory · Mathematics 2008-02-21 Zohra Guessoum , Elias Ould-Saïd

The present paper deals with a nonparametric M-estimation for right censored regression model with stationary ergodic data. Defined as an implicit function, a kernel type estimator of a family of robust regression is considered when the…

Methodology · Statistics 2016-05-03 Mohamed Chaouch , Naamane Laib , Elias Ould-Said

In this article, we consider flexible seasonal time series models which consist of a common trend function over periods and additive individual trend (seasonal effect) functions. The consistency and asymptotic normality of the local linear…

Mathematical Physics · Physics 2014-03-11 Kyong-Hui Kim , Hak-Myong Pak

We introduce and study a local linear nonparametric regression estimator for censorship model. The main goal of this paper is, to establish the uniform almost sure consistency result with rate over a compact set for the new estimate. To…

Statistics Theory · Mathematics 2020-04-07 Feriel Bouhadjera , Elias Saïd , Riad Remita

It has been recently shown that nonparametric estimators of the additive regression function could be obtained in the presence of right censoring by coupling the marginal integration method with initial kernel-type Inverse Probability of…

Statistics Theory · Mathematics 2009-09-29 Mohammed Debbarh , Vivian Viallon

The local regularity of functional time series is studied under $L^p-m-$appro\-ximability assumptions. The sample paths are observed with error at possibly random design points. Non-asymptotic concentration bounds of the regularity…

Statistics Theory · Mathematics 2024-03-21 Hassan Maissoro , Valentin Patilea , Myriam Vimond

We consider estimation of conditional hazard functions and densities over the class of multivariate c\`adl\`ag functions with uniformly bounded sectional variation norm when data are either fully observed or subject to right-censoring. We…

Statistics Theory · Mathematics 2024-04-18 Anders Munch , Thomas A. Gerds , Mark J. van der Laan , Helene C. W. Rytgaard

We propose a new estimation procedure of the conditional density for independent and identically distributed data. Our procedure aims at using the data to select a function among arbitrary (at most countable) collections of candidates. By…

Statistics Theory · Mathematics 2016-10-26 Mathieu Sart

Let $\textbf{X} = (X_1,\ldots, X_p)$ be a stochastic vector having joint density function $f_{\textbf{X}}(x)$ with partitions $\textbf{X}_1 = (X_1,\ldots, X_k)$ and $\textbf{X}_2 = (X_{k+1},\ldots, X_p)$. A new method for estimating the…

Methodology · Statistics 2018-09-28 Håkon Otneim , Dag Tjøstheim

Under a single-index regression assumption, we introduce a new semiparametric procedure to estimate a conditional density of a censored response. The regression model can be seen as a generalization of Cox regression model and also as a…

Statistics Theory · Mathematics 2009-03-22 Olivier Bouaziz , Olivier Lopez

We propose a general framework for regularization in M-estimation problems under time dependent (absolutely regular-mixing) data which encompasses many of the existing estimators. We derive non-asymptotic concentration bounds for the…

Statistics Theory · Mathematics 2018-01-04 Demian Pouzo

We derive process limit distribution results for the Nelson-Aalen estimator of a hasard function and for the Kaplan-Meier estimator of a distribution function, under different dependence assumptions. The data are assumed to be right…

Statistics Theory · Mathematics 2016-09-06 Dragi Anevski

In this paper, we are concerned with nonparametric estimation of the multivariate regression function in the presence of right censored data. More precisely, we propose a statistic that is shown to be asymptotically normally distributed…

Statistics Theory · Mathematics 2008-02-08 Mohammed Debbarh , Vivian Viallon

We consider a non-parametric Bayesian model for conditional densities. The model is a finite mixture of normal distributions with covariate dependent multinomial logit mixing probabilities. A prior for the number of mixture components is…

Statistics Theory · Mathematics 2016-01-21 Andriy Norets , Debdeep Pati

This article examines density estimation by combining a parametric approach with a nonparametric factor. The plug-in parametric estimator is seen as a crude estimator of the true density and is adjusted by a nonparametric factor. The…

Statistics Theory · Mathematics 2007-06-13 Kanta Naito

In this paper, we first provide a review of different non-parametric estimators for the cumulative distribution function under left-censoring. We then propose a new estimator based on a non-parametric likelihood approach using reversed…

Statistics Theory · Mathematics 2023-07-11 N. Balakrishnan , Christian Paroissin , Magdalena Pereda Vivo

This paper studies the identification and estimation of weighted average derivatives of conditional location functionals including conditional mean and conditional quantiles in settings where either the outcome variable or a regressor is…

Statistics Theory · Mathematics 2013-12-24 Hiroaki Kaido
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