In this article, we establish properties that relate quantiles of the log-skew-normal distribution to its parameters, allowing us investigate relationship between a positive skewed response variable and set explanatory variables via linear regression model. We compute maximum likelihood estimates parameters through correspondence skew-normal models. Monte Carlo simulations show satisfactory per...

We give an algorithm for determining an optimal step function approximation of weighted data, where the error is measured with respect to the L∞ norm. The algorithm takes Θ(n+ log n · b(1 + log n/b)) time and Θ(n) space, where b is the number of steps. Thus the time is Θ(n log n) in the worst case and Θ(n) when b = O(n/ log n log log n). A minor change determines the optimal reduced isotonic re...

We give an algorithm for determining an optimal step function approximation of weighted data, where the error is measured with respect to the L∞ norm. The algorithm takes Θ(n+ log n · b(1 + log n/b)) time and Θ(n) space, where b is the number of steps. Thus the time is Θ(n log n) in the worst case and Θ(n) when b = O(n/ log n log log n). A minor change determines the optimal reduced isotonic re...