Improved likelihood-based inference in Birnbaum-Saunders nonlinear regression models

DOI10.1016/j.apm.2016.04.007zbMath1471.62406OpenAlexW2344209475MaRDI QIDQ2293461

Germán Moreno-Arenas, Artur J. Lemonte, Gauss M. Cordeiro

Publication date: 5 February 2020

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2016.04.007

zbMATH Keywords

bootstraplikelihood ratio statisticWald statisticBartlett-type correctionscore statistic

Mathematics Subject Classification ID

Parametric hypothesis testing (62F03) General nonlinear regression (62J02)

Related Items (4)

Improved score tests for exponential family nonlinear models ⋮ Analysis of medians under two-way model with and without interaction for Birnbaum–Saunders distributed response ⋮ Dependence properties of multivariate distributions with proportional hazard rate marginals ⋮ Improved inference in dispersion models

Uses Software

• Maple
• R
• Ox
• bootstrap

Cites Work

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• Bayesian inference for the Birnbaum-Saunders nonlinear regression model
• The local power of the gradient test
• Diagnostic procedures in Birnbaum-Saunders nonlinear regression models
• Some corrections of the score test statistic for Gaussian ARMA models
• Signed likelihood ratio tests in the Birnbaum-Saunders regression model
• Small sample inference for the fixed effects in the mixed linear model
• Birnbaum-Saunders nonlinear regression models
• Improved likelihood inference in Birnbaum-Saunders regressions
• Asymptotic skewness in Birnbaum-Saunders nonlinear regression models
• Sphericity test in a GMANOVA-MANOVA model with normal error
• Gradient statistic: higher-order asymptotics and Bartlett-type correction
• An introduction to Bartlett correction and bias reduction
• Improved inference for moving average disturbances in nonlinear regression models
• Third-order inference for autocorrelation in nonlinear regression models
• Life distributions. Structure of nonparametric, semiparametric, and parametric families.
• Reliability, life testing, and the prediction of service lives. For engineers and scientists.
• BARTLETT CORRECTION IN THE STABLE AR(1) MODEL WITH INTERCEPT AND TREND
• A GENERAL METHOD FOR APPROXIMATING TO THE DISTRIBUTION OF LIKELIHOOD RATIO CRITERIA
• Modified signed log likelihood ratio
• A modified score test statistic having chi-squared distribution to order n⁻¹
• An asymptotic expansion for the null distribution of the efficient score statistic
• The Power of the Likelihood Ratio Test of Location in Nonlinear Regression Models
• An empirical adjustment to the likelihood ratio statistic
• A simple general formula for tail probabilities for frequentist and Bayesian inference
• Assessing parameter uncertainty via bootstrap likelihood ratio confidence regions
• Improved Small Sample Inference in the Mixed Linear Model: Bartlett Correction and Adjusted Likelihood
• Improvement of the Likelihood Ratio Test Statistic in ARMA Models
• Bartlett corrections in Birnbaum–Saunders nonlinear regression models
• Influence diagnostics in Birnbaum–Saunders nonlinear regression models
• A new family of life distributions
• A Log-Linear Model for the Birnbaum-Saunders Distribution
• Properties of sufficiency and statistical tests

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