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Related papers: Hazard Estimation under Generalized Censoring

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We consider kernel smoothed Grenander-type estimators for a monotone hazard rate and a monotone density in the presence of randomly right censored data. We show that they converge at rate $n^{2/5}$ and that the limit distribution at a fixed…

Statistics Theory · Mathematics 2018-05-18 Hendrik P. Lopuhaä , Eni Musta

In a unified framework, we provide estimators and confidence bands for a variety of treatment effects when the outcome of interest, typically a duration, is subjected to right censoring. Our methodology accommodates average, distributional,…

Methodology · Statistics 2017-10-04 Pedro H. C. Sant'Anna

A popular Bayesian nonparametric approach to survival analysis consists in modeling hazard rates as kernel mixtures driven by a completely random measure. In this paper we derive asymptotic results for linear and quadratic functionals of…

Probability · Mathematics 2016-08-16 Giovanni Peccati , Igor Prünster

In statistical exercises where there are several candidate models, the traditional approach is to select one model using some data driven criterion and use that model for estimation, testing and other purposes, ignoring the variability of…

Statistics Theory · Mathematics 2008-12-18 Snigdhansu Chatterjee , Nitai D. Mukhopadhyay

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.…

Applications · Statistics 2020-06-30 Justin R. Williams , Hyung-Woo Kim , Catherine M. Crespi

The progressive Type-II hybrid censoring scheme introduced by Kundu and Joarder (\textit{Computational Statistics and Data Analysis}, 2509-2528, 2006), has received some attention in the last few years. One major drawback of this censoring…

Applications · Statistics 2017-03-06 Arnab Koley , Debasis Kundu

The lifetimes of subjects which are left-censored lie below a threshold value or a limit of detection. A popular tool used to handle left-censored data is the reversed hazard rate. In this work, we study the properties and develop…

Statistics Theory · Mathematics 2022-12-27 G. Asha , Durga Vasudevan

This paper considers the problem of semi-parametric proportional hazards model fitting for interval, left and right censored survival times. We adopt a more versatile penalized likelihood method to estimate the baseline hazard and the…

Methodology · Statistics 2019-04-16 Jun Ma , Dominique-Laurent Couturier , Stephane Heritier , Ian Marschner

Let F be an unknown univariate distribution function to be estimated from a sample containing censored observations and tau be in dom(F). The author has derived a novel nonparametric estimator F_hat for F without making any assumptions…

Statistics Theory · Mathematics 2015-03-19 Plamen Markov

When using the bootstrap in the presence of measurement error, we must first estimate the target distribution function; we cannot directly resample, since we do not have a sample from the target. These and other considerations motivate the…

Statistics Theory · Mathematics 2008-10-28 Peter Hall , Soumendra N. Lahiri

This paper takes into account the estimation for the two unknown parameters of the Chen distribution with bathtub-shape hazard rate function under the improved adaptive Type-II progressive censored data. Maximum likelihood estimation for…

Statistics Theory · Mathematics 2023-04-04 Li Zhang

We propose a general index model for survival data, which generalizes many commonly used semiparametric survival models and belongs to the framework of dimension reduction. Using a combination of geometric approach in semiparametrics and…

Statistics Theory · Mathematics 2017-10-17 Ge Zhao , Yanyuan Ma , Wenbin Lu

The problem of estimating censored linear regression models with autocorrelated errors arises in many environmental and social studies. The present work proposes a Bayesian approach to estimate censored regression models with AR(p) errors.…

Methodology · Statistics 2023-01-06 Rodney Sousa , Isabel Pereira , Maria Eduarda Silva , Brendan McCabe

We consider component-wise equivariant estimation of order restricted location/scale parameters of a general bivariate distribution under quite general conditions on underlying distributions and the loss function. This paper unifies various…

Statistics Theory · Mathematics 2022-07-05 Naresh Garg , Neeraj Misra

This paper deals with parameter estimation when the data are randomly right censored. The maximum likelihood estimates from censored samples are obtained by using the expectation-maximization (EM) and Monte Carlo EM (MCEM) algorithms. We…

Computation · Statistics 2012-03-20 Chanseok Park , Seong Beom Lee

A model for competing (resp. complementary) risks survival data where the failure time can be left (resp. right) censored is proposed. Product-limit estimators for the survival functions of the individual risks are derived. We deduce the…

Statistics Theory · Mathematics 2007-06-13 Valentin Patilea , Jean-Marie Rolin

We propose an estimator of a concave cumulative distribution function under the measurement error model, where the non-negative variables of interest are perturbed by additive independent random noise. The estimator is defined as the least…

Statistics Theory · Mathematics 2026-03-03 Mohammed Es-Salih Benjrada , Cecile Durot , Tommaso Lando

In the stochastic frontier model, the composed error term consists of the measurement error and the inefficiency term. A general assumption is that the inefficiency term follows a truncated normal or exponential distribution. In a wide…

Methodology · Statistics 2020-06-08 Rouven Schmidt , Thomas Kneib

Maximum approximate Bernstein likelihood estimates of the baseline density function and the regression coefficients in the proportional hazard regression models based on interval-censored event time data are proposed. This results in not…

Methodology · Statistics 2020-12-25 Zhong Guan

In reliability theory and survival analysis, observed data are often weakly dependent and subject to additive measurement errors. Such contamination arises when the underlying data are neither independent nor strongly mixed but instead…

Statistics Theory · Mathematics 2025-03-20 Benjrada Mohammed Essalih