The idea for this book came from the time the authors spent at the Statistics and Applied
Mathematical Sciences Institute (SAMSI) in Research Triangle Park in North Carolina …

In this chapter we study stochastic orders that compare the “location” or the “magnitude” of
random variables. The most important and common orders that are considered in this …

In analogy with the cumulative residual entropy recently proposed by Wang et al.[2003a. A
new and robust information theoretic measure and its application to image alignment. In …

As proposed by Ebrahimi, uncertainty in the residual lifetime distribution can be measured
by means of the Shannon entropy. In this paper, we analyse a dual characterization of life …

The residual entropy function is a relevant dynamic measure of uncertainty in reliability and
survival studies. Recently, Rao et al.[2004. Cumulative residual entropy: a new measure of …

In summer of 2010, the first author (HL) visited the second author (XL) at Lanzhou University,
China, and chaired the dissertation defense for XL's two graduating doctoral students …

We consider a" length-biased" shift-dependent information measure, related to the
differential entropy in which higher weight is assigned to large values of observed random …

The Shannon entropy of a random variable has become a very useful tool in Probability
Theory. In this paper we extend the concept of cumulative residual entropy introduced by …

Ebrahimi and Pellerey (1995) and Ebrahimi (1996) proposed the Shannon residual entropy
function as a useful dynamic measure of uncertainty. They studied the characterization …

Tsallis entropy of order α α (see Tsallis in J Stat Phys 52 (1–2): 479–487, 1988) plays an
important role in the measurement uncertainty of random variables. Recently, Sati and …