In this work, we present a five-parameter life time distribution called Harris power Lomax (HPL)  which is obtained by convoluting the Harris-G and Power distribution. When compared to existing distributions, new exhibits very flexible probability functions; may be increasing, decreasing, J, reversed J shapes been observed for density hazard rate functions. The structural properties of...

This paper is addressed to comparing inequality in distributions of two or more variables. Based on an extended version of the Lorenz Curve criterion, a theorem is proved which says that total income is always less unequally distributed than the most unequally distributed income component. As an illustration, a decomposition of the coëfficiënt of variation of total income is given in terms of c...

The main objective of the study is to compare the Newton-Cotes methods such as the Trapezium rule, Simpson 1/3 rule and Simpson 3/8 rule to estimate the area under the Lorenz curve and Gini coefficient of income using polynomial function with degree 5. Comparing the Gini coefficients of income computed from the Polynomial function with degree 5 for the Trapezium, Simpson 1/3 and Simpson 3/8 met...

In a 1963 paper, Lorenz inferred that the Lorenz attractor must be an infinite complex of surfaces. We investigate this fractal property of the Lorenz attractor in two ways. Firstly, we obtain explicit plots of the fractal structure of the Lorenz attractor using symbolic dynamics and multiple precision computations of periodic orbits. The method we derive for multiple precision computation is b...

We study the resonance at zero frequency in presence of a neutral mode in quasi-reversible systems. The asymptotic normal form is derived and it is shown that in the presence of a reflection symmetry it is equivalent to the set of real Lorenz equations. Near the critical point an analytical condition for the persistence of an homoclinic curve is calculated and chaotic behavior is then predicted...

I apply concentration measures from the inequality literature the Lorenz curve and Gini coefficient to the measurement of global and regional integration, and show that these can be derived from the theoretical gravity model in the presence of unequal costs of access for firms from different locations to a particular market. Overall, comparing 9 economies, I find that the USA is the most global...

................................................................................................................................................................ v INTRODUCTION....................................................................................................................................................... 1 THE DATA AND THE METHODOLOGY...........................................