Elliptically contoured models in statistics
Elliptically contoured models in statistics
Improved statistical inference for the two-parameter Birnbaum-Saunders distribution
Computational Statistics & Data Analysis
Lifetime analysis based on the generalized Birnbaum-Saunders distribution
Computational Statistics & Data Analysis
On the hazard function of Birnbaum-Saunders distribution and associated inference
Computational Statistics & Data Analysis
On Birnbaum-Saunders inference
Computational Statistics & Data Analysis
An R implementation for generalized Birnbaum-Saunders distributions
Computational Statistics & Data Analysis
Reference analysis for Birnbaum-Saunders distribution
Computational Statistics & Data Analysis
Inference procedures for the Birnbaum-Saunders distribution and its generalizations
Computational Statistics & Data Analysis
Computational Statistics & Data Analysis
Modified censored moment estimation for the two-parameter Birnbaum-Saunders distribution
Computational Statistics & Data Analysis
Analysis of Type-II progressively hybrid censored data
Computational Statistics & Data Analysis
The Birnbaum-Saunders autoregressive conditional duration model
Mathematics and Computers in Simulation
Size and power properties of some tests in the Birnbaum-Saunders regression model
Computational Statistics & Data Analysis
The β-Birnbaum-Saunders distribution: An improved distribution for fatigue life modeling
Computational Statistics & Data Analysis
Optimal acceptance sampling plans for log-location-scale lifetime models using average risks
Computational Statistics & Data Analysis
Smallest Pareto confidence regions and applications
Computational Statistics & Data Analysis
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The two-parameter Birnbaum-Saunders distribution has been used successfully to model fatigue failure times. Although censoring is typical in reliability and survival studies, little work has been published on the analysis of censored data for this distribution. In this paper, we address the issue of performing testing inference on the two parameters of the Birnbaum-Saunders distribution under type-II right censored samples. The likelihood ratio statistic and a recently proposed statistic, the gradient statistic, provide a convenient framework for statistical inference in such a case, since they do not require to obtain, estimate or invert an information matrix, which is an advantage in problems involving censored data. An extensive Monte Carlo simulation study is carried out in order to investigate and compare the finite sample performance of the likelihood ratio and the gradient tests. Our numerical results show evidence that the gradient test should be preferred. Further, we also consider the generalized Birnbaum-Saunders distribution under type-II right censored samples and present some Monte Carlo simulations for testing the parameters in this class of models using the likelihood ratio and gradient tests. Three empirical applications are presented.