Results on Relative Mean Residual Life and Relative Cumulative Residual Entropy

On the Discrete Cumulative Residual Entropy

Conditional Mean Residual Life Estimation

Some Results on Weighted Cumulative Entropy

Considering Rao et al. (2004) and Di Crescenzo and Longobardi (2009) studies, Misagh et al. (2011) proposed a weighted information which is based on the cumulative entropy called Weighted Cumulative Entropy (WCE). The above-mentioned model is a Shiftdependent Uncertainty Measure. In this paper, we examine some of the properties of WCE and obtain some bounds for that. In order to ...

Relative Normalization in Deterministic Residual Structures

? Abstract. This paper generalizes the Huet and L evy theory of normaliza-tion by neededness to an abstract setting. We deene Stable Deterministic Residual Structures (SDRS) and Deterministic Family Structures (DFS) by axiomatizing some properties of the residual relation and the family relation on redexes in an Abstract Rewriting System. We present two proofs of the Relative Normalization Theo...

Relative Residual Bounds for Indefinite Hermitian Matrices

We prove several residual bounds for relative perturbations of the eigenvalues of indefinite Hermitian matrix. The bounds fall into two categories – the Weyl-type bounds and the Hofmann–Wielandt-type bounds. The bounds are expressed in terms of sines of acute principal angles between certain subspaces associated with the indefinite decomposition of the given matrix. The bounds are never worse t...