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This article introduces an L-estimator for the semiparametric Tobit model with endogenous regressors. The estimation procedure follows a two-stage approach: the first stage employs least squares, while the second stage utilizes the…

Methodology · Statistics 2025-09-10 Swati Shukla , Subhra Sankar Dhar , Shalabh

Monitoring microbiological behaviors in water is crucial to manage public health risk from waterborne pathogens, although quantifying the concentrations of microbiological organisms in water is still challenging because concentrations of…

Artificial Intelligence · Computer Science 2023-02-22 Yuya Takada , Tsuyoshi Kato

Regression method has been widely used to explore relationship between dependent and independent variables. In practice, data issues such as censoring and missing data often exist. When the response variable is (fixed) censored, Tobit…

Methodology · Statistics 2021-07-06 Hailin Huang

Transformation models provide a common tool for regression analysis of censored failure time data. The most common approach towards parameter estimation in these models is based on the nonparametric profile likelihood method. Several…

Statistics Theory · Mathematics 2007-06-13 Dorota M. Dabrowska

The Student-$t$ distribution is widely used in statistical modeling of datasets involving outliers since its longer-than-normal tails provide a robust approach to hand such data. Furthermore, data collected over time may contain censored or…

When modelling censored observations, a typical approach in current regression methods is to use a censored-Gaussian (i.e. Tobit) model to describe the conditional output distribution. In this paper, as in the case of missing data, we argue…

Machine Learning · Statistics 2022-05-05 Daniele Gammelli , Kasper Pryds Rolsted , Dario Pacino , Filipe Rodrigues

Censoring occurs when an outcome is unobserved beyond some threshold value. Methods that do not account for censoring produce biased predictions of the unobserved outcome. This paper introduces Type I Tobit Bayesian Additive Regression Tree…

Econometrics · Economics 2024-02-21 Eoghan O'Neill

High-dimensional regression and regression with a left-censored response are each well-studied topics. In spite of this, few methods have been proposed which deal with both of these complications simultaneously. The Tobit model -- long the…

Methodology · Statistics 2023-03-20 Tate Jacobson , Hui Zou

Distributional effects, captured by quantile frameworks, are well-received for characterizing heterogeneous impacts of economic factors across the unobserved relative ranks. Censored outcome, endogenous regressor and heteroskedastic error…

Econometrics · Economics 2026-04-06 Xi Wang

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 hybrid censoring scheme is a mixture of Type-I and Type-II censoring schemes. We study the estimation of parameters of weighted exponential distribution based on Type-II hybrid censored data. By applying EM algorithm, maximum likelihood…

Statistics Theory · Mathematics 2012-03-02 Akram Kohansal , Saeid Rezakhah

Multi-stage (designed) procedures, obtained by splitting the sampling budget suitably across stages, and designing the sampling at a particular stage based on information about the parameter obtained from previous stages, are often…

Methodology · Statistics 2014-01-08 Atul Mallik , Moulinath Banerjee , George Michailidis

Amemiya (1973) proposed a ``consistent initial estimator'' for the parameters in a censored regression model with normal errors. This paper demonstrates that a similar approach can be used to construct moment conditions for fixed--effects…

Econometrics · Economics 2024-01-11 Bo E. Honore

The classic censored regression model (tobit model) has been widely used in the economic literature. This model assumes normality for the error distribution and is not recommended for cases where positive skewness is present. Moreover, in…

Methodology · Statistics 2021-03-09 Danúbia R. Cunha , Jose A. Divino , Helton Saulo

This study proposes $p$-th Tobit quantile regression models with endogenous variables. In the first stage regression of the endogenous variable on the exogenous variables, the assumption that the $\alpha$-th quantile of the error term is…

Methodology · Statistics 2016-03-23 Genya Kobayashi

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

Consider a problem of predicting a response variable using a set of covariates in a linear regression model. If it is \emph{a priori} known or suspected that a subset of the covariates do not significantly contribute to the overall fit of…

Applications · Statistics 2011-09-13 SM Enayetur Raheem , S. Ejaz Ahmed

In this article, we propose some new generalizations of M-estimation procedures for single-index regression models in presence of randomly right-censored responses. We derive consistency and asymptotic normality of our estimates. The…

Statistics Theory · Mathematics 2008-12-18 Olivier Lopez

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…

Statistics Theory · Mathematics 2019-05-09 Abhik Ghosh , Ayanendranath Basu

The statistical regression technique is an extraordinarily essential data fitting tool to explore the potential possible generation mechanism of the random phenomenon. Therefore, the model selection or the variable selection is becoming…

Methodology · Statistics 2020-03-25 Yue Su , Patrick Kandege Mwanakatwe
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