We address the issue of performing testing inference in generalized linear models when the sample size is small. This class of models provides a straightforward way of modeling normal and non-normal data and has been widely used in several practical situations. The likelihood ratio, Wald and...

We study some mathematical properties of the Marshall–Olkin extended Weibull distribution introduced by Marshall and Olkin (Biometrika 84:641–652, <CitationRef CitationID="CR17">1997</CitationRef>). We provide explicit expressions for the moments, generating and quantile functions, mean deviations, Bonferroni and Lorenz curves,...</citationref>

A new class of extended Birnbaum–Saunders regression models is introduced. It can be applied to censored data and be used more effectively in survival analysis and fatigue life studies. Maximum likelihood estimation of the model parameters with censored data as well as influence diagnostics...

A robust gradient statistic under model misspecification is proposed and its asymptotic distribution under the null hypothesis is determined. Several examples are presented and Monte Carlo simulation experiments are carried out.

A new three-parameter exponential-type family of distributions which can be used in modeling survival data, reliability problems and fatigue life studies is introduced. Its failure rate function can be constant, decreasing, increasing, upside-down bathtub or bathtub-shaped depending on its...

The β-Birnbaum–Saunders (Cordeiro and Lemonte, 2011) and Birnbaum–Saunders (Birnbaum and Saunders, 1969a) distributions have been used quite effectively to model failure times for materials subject to fatigue and lifetime data. We define the log-β-Birnbaum–Saunders distribution by the...