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In survey analysis, the estimation of the cumulative distribution function (cdf) is of great interest: it allows for instance to derive quantiles estimators or other non linear parameters derived from the cdf. We consider the case where the…

统计方法学 · 统计学 2014-04-14 Sandrine Casanova , Eve Leconte

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…

统计理论 · 数学 2023-07-11 N. Balakrishnan , Christian Paroissin , Magdalena Pereda Vivo

We consider projection methods for the estimation of the cumulative distribution function under interval censoring, case 1. Such censored data also known as current status data, arise when the only information available on the variable of…

统计理论 · 数学 2009-01-29 Elodie Brunel , Fabienne Comte

We study the problem of estimating the probability density function of a circular random variable subject to censoring. To this end, we propose a fully computable quotient estimator that combines a projection estimator on linear sieves with…

统计理论 · 数学 2025-08-11 Nicolas Conanec

Inferential challenges that arise when data are censored have been extensively studied under the classical frameworks. In this paper, we provide an alternative generalized inferential model approach whose output is a data-dependent…

统计方法学 · 统计学 2021-11-16 Joyce Cahoon , Ryan Martin

This paper focuses on the problem of the estimation of the cumulative hazard function of a distribution on a general complete separable metric space when the data points are subject to censoring by an arbitrary adapted random set. A problem…

统计理论 · 数学 2013-09-04 Alberto Carabarin Aguirre , B. Gail Ivanoff

In the uniform deconvolution problem one is interested in estimating the distribution function $F_0$ of a nonnegative random variable, based on a sample with additive uniform noise. A peculiar and not well understood phenomenon of the…

统计理论 · 数学 2025-04-25 Piet Groeneboom , Geurt Jongbloed

This paper derives the nonparametric maximum likelihood estimator (NPMLE) of a distribution function from observations which are subject to both bias and censoring. The NPMLE is obtained by a simple EM algorithm which is an extension of the…

统计理论 · 数学 2007-08-22 Micha Mandel

We study nonparametric estimation of the distribution function (DF) of a continuous random variable based on a ranked set sampling design using the exponentially tilted (ET) empirical likelihood method. We propose ET estimators of the DF…

统计计算 · 统计学 2015-06-23 Saeid Amiri , Mohammad Jafari Jozani , Reza Modarres

We analyze nonparametric estimators for the distribution function of the incubation time in the singly and doubly interval censoring model. The classical approach is to use parametric families like Weibull, log-normal or gamma distributions…

统计理论 · 数学 2024-01-02 Piet Groeneboom

Let $F=F_N$ be the distribution of a finite real population of size $N$. Let $\widehat{F}=F_N$ be the empirical distribution of a sample of size $n$ drawn from the population without replacement. We prove the following remarkable {\it…

统计理论 · 数学 2014-10-28 C. S. Withers , S. Nadarajah

Let $ (T_i)_i$ be a sequence of independent identically distributed (i.i.d.) random variables (r.v.) of interest distributed as $ T$ and $(X_i)_i$ be a corresponding vector of covariates taking values on $ \mathbb{R}^d$. In censorship…

统计理论 · 数学 2019-01-29 Bouhadjera Feriel , Ould Saïd , Mohamed Remita

We consider linear regression model estimation where the covariate of interest is randomly censored. Under a non-informative censoring mechanism, one may obtain valid estimates by deleting censored observations. However, this comes at a…

应用统计 · 统计学 2017-10-24 Folefac Atem , Roland A. Matsouaka

In this paper we consider a class of nonparametric estimators of a distribution function F, with compact support, based on the theory of IFSs. The estimator of F is tought as the fixed point of a contractive operator T defined in terms of a…

统计理论 · 数学 2007-06-13 Stefano M. Iacus , Davide La Torre

The limit distribution of the nonparametric maximum likelihood estimator for interval censored data with more than one observation time per unobservable observation, is still unknown in general. For the so-called separated case, where one…

统计理论 · 数学 2026-02-12 Piet Groeneboom

When data are collected subject to a detection limit, observations below the detection limit may be considered censored. In addition, the domain of such observations may be restricted; for example, values may be required to be non-negative.…

应用统计 · 统计学 2020-06-30 Justin R. Williams , Hyung-Woo Kim , Catherine M. Crespi

In this paper, we study a novel approach for the estimation of quantiles when facing potential right censoring of the responses. Contrary to the existing literature on the subject, the adopted strategy of this paper is to tackle censoring…

统计方法学 · 统计学 2017-03-24 Mickaël De Backer , Anouar El Ghouch , Ingrid Van Keilegom

Analysis of random censored life-time data along with some related stochastic covariables is of great importance in many applied sciences like medical research, population studies and planning etc. The parametric estimation technique…

统计理论 · 数学 2019-05-09 Abhik Ghosh , Ayanendranath Basu

Most work in neural networks focuses on estimating the conditional mean of a continuous response variable given a set of covariates.In this article, we consider estimating the conditional distribution function using neural networks for both…

统计方法学 · 统计学 2022-07-07 Bingqing Hu , Bin Nan

We propose a counterfactual Kaplan-Meier estimator that incorporates exogenous covariates and unobserved heterogeneity of unrestricted dimensionality in duration models with random censoring. Under some regularity conditions, we establish…

计量经济学 · 经济学 2019-02-25 Jiun-Hua Su
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