Some extensions of entropy and KL information to the survival function have been recently proposed. We first compare some extensions of KL information and provide a criterion in choosing one among those extensions. Then we study moment constraints for maximum cumulative residual entropy...

The Fisher information on θ of the r-size weighted pdf fr(x;θ) and its parent pdf f(x;θ) are compared leading to some characterization properties for f(x;θ). Additionally, some bounds for the Fisher information in terms of r are also presented.

Computer simulations are often used to replace physical experiments for exploring the complex relationships between input and output variables. We study the optimal design problem for the prediction of a stationary Ornstein–Uhlenbeck sheet on a monotonic set with respect to the integrated mean...

In this paper, a new class of skew distributions containing both unimodal as well as bimodal distributions with flexible hazard rate behavior is introduced. Several distributional properties of this class are investigated. A characterization, a generating method and parameter estimation are also...