Assessment of global and local influence in robust linear and nonlinear censored regression models

Almost sure convergence with rate of a robust regression estimator for twice-censored data

In this paper, we propose a new kernel M-estimator of the regression function using nonparametric methods for twice-censored data. The almost sure (a.s.) convergence with rate over a compact set of the estimator is established under appropriate conditions using an unbounded score function. As a by-product, we build a N...

Homogeneity of Variances in Location-Scale Family under Progressive Censoring Scheme

Estimating Functions Inference to Semi‐Parametric Additive Models for Skewed And/Or Heavy‐Tailed Longitudinal Data

In many fields of research, it is common to conduct experiments where several observations of the response variable are made on the same subject over non‐random conditions, generating longitudinal studies. A wide variety of techniques deal with this type of data when analysing population variations, many based on estim...

Testing high-dimensional regression coefficients in linear models via Bayes factor

Statistical Diagnostics and Reliability Evaluation of Linear Regression Models

Linear regression is often used to explain, infer statistically and predict, but a good fit within the training data does not guarantee the reliability of the model. The main diagnostic and validation tools for assessing linear regression models are introduced in this paper, including residual analysis, multicollineari...

A modified generalized exponential distribution for negatively skewed survival data

This study suggests that the new distribution performs better than the eight distributions mentioned above when modeling complete, mildly right-censored, or interval-censored data, and is comparable with those that appropriately model heavily right-censored data.