The representation of the entropy in terms of the hazard function and its extensions have been studied by many authors including Teitler et al. (IEEE Trans Reliab 35:391–395, <CitationRef CitationID="CR16">1986</CitationRef>). In this paper, we consider a representation of the Kullback–Leibler information of the first <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$$r$$</EquationSource> <EquationSource Format="MATHML"> <math xmlns:xlink="http://www.w3.org/1999/xlink"> <mi>r</mi> </math> </EquationSource> </InlineEquation>...</equationsource></equationsource></inlineequation></citationref>

In this work the ranked set sampling technique has been applied to estimate the scale parameter <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$$\alpha $$</EquationSource> </InlineEquation> of a log-logistic distribution under a situation where the units in a sample can be ordered by judgement method without any error. We have evaluated the Fisher information contained in...</equationsource></inlineequation>

In the current paper, the estimation of the shape and location parameters α and c, respectively, of the Pareto distribution will be considered in cases when c is known and when both are unknown. Simple random sampling (SRS) and ranked set sampling (RSS) will be used, and several traditional and...

Laboratory experiments have shown that, during a fracture, the breaking of a bond launches a propagating stress wave which may trigger the breaking of other bonds. We examine here the possibility that the same holds on a geophysical scale. Based on a nonextensive approach, we examine whether the...

As a part of the so-called Wheeler program, we present an information theoretic treatment for phase space distributions.

By recourse to information-theory tools, we study aspects of the dynamics of the interaction between a single trapped ion with a laser field. Despite its simplicity the model we use exhibits a broad range of intricate physical effects that are clearly detected by information quantifiers like...

The occurrence of instantaneous or early failures is a common phenomenon observed in life testing experiments. Such failures are called inliers. In this article, an attempt has been made to model inliers using Rayleigh distribution. We propose the estimation procedures and tests of hypothesis of...