Majorization and the Lorenz Order: A Brief Introduction.

1988 ◽  
Vol 83 (404) ◽  
pp. 1219
Author(s):  
Richard Dykstra ◽  
Barry C. Arnold
Keyword(s):  
Lorenz Order

A Sufficient Condition for Generalized Lorenz Order

2000 ◽  
Vol 90 (2) ◽  
pp. 286-292 ◽  
Author(s):  
Hector M Ramos ◽  
Jorge Ollero ◽  
Miguel A Sordo
Keyword(s):  
Sufficient Condition ◽  
Lorenz Order

scholarly journals Majorization and the Lorenz Order: A Brief Introduction

1987 ◽  
Author(s):  
Barry C. Arnold
Keyword(s):  
Lorenz Order

Majorization and the Lorenz Order with Applications in Applied Mathematics and Economics

2018 ◽  
Author(s):  
Barry C. Arnold ◽  
José María Sarabia
Keyword(s):  
Applied Mathematics ◽  
Lorenz Order

scholarly journals Lorenz and Polarization Orderings of the Double-Pareto Lognormal Distribution and Other Size Distributions

Sankhya B ◽  
2021 ◽  
Author(s):  
Masato Okamoto
Keyword(s):  
Income Distribution ◽  
Lognormal Distribution ◽  
Sensitivity Analyses ◽  
Stochastic Orders ◽  
Size Distributions ◽  
Lorenz Order

AbstractPolarization indices such as the Foster-Wolfson index have been developed to measure the extent of clustering in a few classes with wide gaps between them in terms of income distribution. However, Zhang and Kanbur (2001) failed to empirically find clear differences between polarization and inequality indices in the measurement of intertemporal distributional changes. This paper addresses this ‘distinction' problem on the level of the respective underlying stochastic orders, the polarization order (PO) in distributions divided into two nonoverlapping classes and the Lorenz order (LO) of inequality in distributions. More specifically, this paper investigates whether a distribution F can be either more or less polarized than a distribution H in terms of the PO if F is more unequal than H in terms of the LO. Furthermore, this paper derives conditions for the LO and PO of the double-Pareto lognormal (dPLN) distribution. The derived conditions are applicable to sensitivity analyses of inequality and polarization indices with respect to distributional changes. From this application, a suggestion for appropriate two-class polarization indices is made.

THE LORENZ ORDER AND THE EFFECTS OF TAXATION POLICIES

1990 ◽  
Vol 42 (4) ◽  
pp. 249-264 ◽  
Author(s):  
Barry C. Arnold
Keyword(s):  
Lorenz Order

Lorenz order with common finite support

METRON ◽  
2016 ◽  
Vol 75 (2) ◽  
pp. 215-226 ◽  
Author(s):  
Barry C. Arnold ◽  
D. V. Gokhale
Keyword(s):  
Finite Support ◽  
Lorenz Order

Sufficient conditions for Lorenz ordering with common finite support

2021 ◽  
pp. 1-7
Author(s):  
Barry Arnold
Keyword(s):  
Sufficient Conditions ◽  
Partial Orders ◽  
Finite Support ◽  
Lorenz Order ◽  
The Common

Arnold and Gokhale (2017) provided a characterization of the Lorenz inequality order between distributions with common finite support. In the more general Lorenz order context, a variety of partial orders are often used to verify the existence of Lorenz ordering. In this paper we investigate whether parallel results can be identified within the common finite support context.

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