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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Estimation and diagnostics for partially linear censored regression models based on heavy-tailed distributions

Author(s):
Lemus, Marcela Nunez [1] ; Lachos, Victor H. [2] ; Galarza, Christian E. [3] ; Matos, Larissa A. [1]
Total Authors: 4
Affiliation:
[1] Univ Estadual Campinas, Dept Estat, Rua Sergio Buarque de Holanda 651, Cidade Univ, BR-13083859 Campinas, SP - Brazil
[2] Univ Connecticut, Dept Stat, 215 Glenbrook Rd U-4120, Storrs, CT 06269 - USA
[3] ESPOL Polytech Univ, Escuela Super Politecn Litoral, ESPOL, Fac Ciencias Nat & Matemat, FCNM, Campus Gustavo Galindo Km 30-5 Via Perimetral, Guayaquil - Ecuador
Total Affiliations: 3
Document type: Journal article
Source: STATISTICS AND ITS INTERFACE; v. 14, n. 2, p. 165-182, 2021.
Web of Science Citations: 0
Abstract

In many studies, limited or censored data are collected. This occurs, in several practical situations, for reasons such as limitations of measuring instruments or due to experimental design. So, the responses can be either left, interval or right censored. On the other hand, partially linear models are considered as a flexible generalizations of linear regression models by including a nonparametric component of some covariates in the linear predictor. In this paper, we discuss estimation and diagnostic procedures in partially linear censored regression models with errors following a scale mixture of normal (SMN) distributions. This family of distributions contains a group of well-known heavy-tailed distributions that are often used for robust inference of symmetrical data, such as Student-t, slash and contaminated normal, among others. A simple EM-type algorithm for iteratively computing maximum penalized likelihood (MPL) estimates of the parameters is presented. To examine the performance of the proposed model, case-deletion and local influence techniques are developed to show its robustness against outlying and influential observations. This is performed by sensitivity analysis of the maximum penalized likelihood estimates under some usual perturbation schemes, either in the model or in the data, and by inspecting some proposed diagnostic graphs. We evaluate the finite sample performance of the algorithm and the asymptotic properties of the MPL estimates through empirical experiments. An application to a real dataset is presented to illustrate the effectiveness of the proposed methods. Both estimation procedure and diagnostic tools were implemented in the R PartCensReg package. (AU)

FAPESP's process: 15/17110-9 - Robust Estimation in Spatial Models for Censored Data
Grantee:Christian Eduardo Galarza Morales
Support type: Scholarships in Brazil - Doctorate