This paper studies concentration (i.e. inequality) aspects of the functions of Zipf and of Lotka. Since both functions are power laws (i.e. they are – mathematically the same) it suffices to develop one concentration theory for power laws and apply it twice for the different interpretations of the laws of Zipf and Lotka. After a brief repetition of the functional relationships between Zipf’s la...

This paper utilizes a rank-size function to investigate market concentration in lieu of well-known measures. For comparison, two measures were chosen: Theil’s entropy and the Herfindahl. The empirical results are based on premiums written for twelve lines of property and liability insurance. While the two concentration measures rank the lines for the level of concentration in almost complete un...

Article history: Received 16 June 2014 Received in revised form 19 September 2014 Accepted 21 September 2014 Available online 8 October 2014

social capital (sc) is important as much as physical capital and theorists discussed its functions in enhancement of countries. successfulness in international fields is far behind reach without due attention to capacity of countries. these capacities are known as competitiveness capacity (cc) in political literature. twelve indexes have been recognized for the cc which covers different dimensi...

This article examines the influence of income distribution in the determination of effective demand in the US. A simple model is developed to simulate the effects of changing income inequality on the aggregate propensity to consume. The simulation results illustrate that income inequality has a substantial negative impact on consumption when household spending is assumed to be income-constraine...

This paper presents the details of a terrain mapping system that has been used to measure median profiles. Details are presented of the system construction, design, and algorithms to process the data. The capability of the system is gauged by performing tests to compensate for vehicle orientation, tests for repeatability, and tests comparing the system with manual measurement. Results demonstra...

Motivated by applications to goodness of fit U-statistics testing, the empirical likelihood approach is generalized to allow for the number of constraints to grow with the sample size and for the constraints to use estimated criteria functions. The latter is needed to handle naturally occurring nuisance parameters. The proposed empirical likelihood based goodness of fit tests are asymptotically...

In the context of Social Welfare and Choquet integration, we briefly review, on the one hand, the generalized Gini welfare functions and inequality indices for populations of n ≥ 2 individuals, and on the other hand, the Möbius representation framework for Choquet integration, particularly in the case of k-additive symmetric capacities. We recall the binomial decomposition of OWA functions due ...

assessing financial performance is one of the most important in functional domains, because financial information is considered for the basis of making decisions. organizations use various indexes for assessing performance in quantitative techniques. although these sorts of assessments provide useful information, but the comprehensive concept will never be concluded because of considering all t...