A log-linear regression model for the ? ? -BirnbaumSaunders distribution with censored data
The ? ? -BirnbaumSaunders (Cordeiro and Lemonte, 2011) and BirnbaumSaunders (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-? ? -BirnbaumSaunders distribution by the logarithm of the ? ? -BirnbaumSaunders distribution. Explicit expressions for its generating function and moments are derived. We propose a new log-? ? -BirnbaumSaunders regression model that can be applied to censored data and be used more effectively in survival analysis. We obtain the maximum likelihood estimates of the model parameters for censored data and investigate influence diagnostics. The new location-scale regression model is modified for the possibility that long-term survivors may be presented in the data. Its usefulness is illustrated by means of two real data sets.
regression model censored data lifetime data generating function maximum likelihood estimation birnbaumsaunders distribution cure fraction