Feasible epidemiological approaches are required to make a better assessment of the stage of an epidemic and to monitor its transition through various phases. Application of the Lorenz curve and Gini coefficient to summarise the inequality in STD incidence rates between jurisdictions in Manitoba, Canada, was found to provide useful insights into the concentration of these epidemics over time an...

We investigate the environmental impacts of several forms of policies that offer farmers subsides in return for adoption of conservation tillage. The policies differ on whether the tillage practice or one of the environmental benefits is targeted. We develop an environmental Lorenz curve that fully represents the performance of the targeting policies, and we show that these curves can be used d...

Background: Fatal road accidents are among the most important causes of mortality in the world; Iran has one of the world’s highest accident fatality rates. Therefore, it is important to have efficient pre-hospital emergency services. Objectives: The main aim of this study was to assess the road emergency sites (RECs) in Iran. Materials and Methods: Provincial data were used for this purpose. C...

In 1963, meteorologist Edward Lorenz suggested an approximate mathematical model (the Lorenz system) for the Rayleigh-Bénard convection and discovered numerically a chaotic attractor in this model [1]. This discovery stimulated rapid development of the chaos theory, numerical methods for attractor investigation, and till now has received a great deal of attention from different fields [2–7]. Th...

Radar waveforms based on chaotic systems have occasionally been suggested for a variety of radar applications. In this paper, radar waveforms are constructed with solutions from a particular chaotic system, the Lorenz system, and are called Lorenz waveforms. Waveform properties, which include the peak autocorrelation function side-lobe and the transmit power level, are related to the system par...

This paper proposes a symmetry-breaking model of trade with a finite number of identical countries and a continuum of tradeable consumption goods, which differ in their dependence on nontradeable intermediate inputs, “producer services”. Productivity of each country is endogenous due to country-specific external economies of scale in its service sector. It is shown that, in any stable equilibri...

Classical information retrieval and overlap measures such as the Jaccard index, the Dice coefficient and Salton’s cosine measure can be characterized by Lorenz curves. This result demonstrates the existence of a formal link between information retrieval and the information sciences on the one hand, and concentration and diversity theory, as used, e.g., in social economics and ecology on the oth...

Ranking Intersecting Lorenz Curves This paper is concerned with the problem of ranking Lorenz curves in situations where the Lorenz curves intersect and no unambiguous ranking can be attained without introducing weaker ranking criteria than first-degree Lorenz dominance. To deal with such situations two alternative sequences of nested dominance criteria between Lorenz curves are introduced. At ...

This paper proposes a symmetry-breaking model of trade with a (large but) finite number of (ex-ante) identical countries and a continuum of tradeable goods, which differ in their dependence on local differentiated producer services. Productivity differences across countries arise endogenously through free entry to the local service sector in each country. In any stable equilibrium, the countrie...

Abstract: This paper shows that a large class of chaotic systems, introduced in (Čelikovský and Vaněček, 1994), (Vaněček and Čelikovský, 1996) as the generalized Lorenz system, can be further generalized to the hyperbolic-type generalized Lorenz system. While the generalized Lorenz system unifies both the famous Lorenz system and new Chen’s system (Ueta and Chen, 1999), (Chen and Ueta, 2000), t...