A bidimensional inequality index: inference and almost Lorenz dominance
A. Baíllo Moreno, J. Cárcamo Urtiaga, C. Mora Corral
Baíllo et al. (2022) propose a bidimensional inequality index to compare two Lorenz curves corresponding to two income distributions. The first component of the index is the difference of the two Gini indices. The second component is proportional to the L1 distance between the Lorenz curves. This bidimensional index enables to identify variables with different distributions yet with similar Gini indices and permits to detect in a simple way the possible Lorenz ordering between two variables.
Based on samples from the populations, we define the plug-in estimator of the bidimensional inequality index, which under suitable assumptions, is asymptotically normal. We explore bootstrap procedures to do inference on the unknown population index. The test of almost Lorenz dominance in the Lorenz ordering can be equivalently stated in terms of the index being or not in a certain subset of the bidimensional index range. We analyze the performance of a bootstrap critical region of the test.
Keywords: bootstrap; income inequality; Lorenz curves; Lorenz order
Scheduled
GT12 Stochastic Orders and their Applications III
June 8, 2022 5:20 PM
A05
Other papers in the same session
J. Cárcamo Urtiaga, A. Baíllo, C. Mora-Corral
A. J. Bello Espina, J. Mulero González, M. Á. Sordo Díaz, A. Suárez Llorens
M. Á. Sordo, A. Castaño Martínez, C. Ramos González, G. Pigueiras Voces
Latest news
-
6/8/22
Visit Alhambra
Tomorrow, Thursday, we will visit the Alhambra. 1. At 7:00 p.m., buses will start leaving from the door of the Hotel Granada Center (in front of the door of the Faculty of Sciences) 2. Upon arrival, groups with guides will be organized. 3. There will be groups in English language. These groups will wait at the destination until the arrival of all buses. 4. After the visit to the Alhambra we will walk to the Carmen de los Mártires to have a cocktail. 5. On the way back, we can go back by bus, which will leave from the same place where they left us at the Alhambra. 6. Although the way to the Alhambra by bus seems long, it really is close to the city. We invite you, whoever wishes, to go down for a pleasant walk. 7. Do not forget to take your Alhambra ticket and your identity card or passport. The document must be the same whose number matches the ticket number you have.
-
5/31/22
YouTube Channel
The menu label is already on the web from where you can see the live broadcasts: inauguration, plenary sessions, round tables,... Don't forget to enter the YouTube channel and subscribe!!!!
-
5/27/22
Gala Dinner
It opens the possibility that anyone who is registered for the conference, and wants non-registered companions to attend the gala dinner, can do so by paying the price of this dinner (80 euros VAT included). This payment must be made before June 1 (inclusive). To do this, contact with [email protected]
-
5/23/22
IMPORTANT WARNING
To access the Alhambra on the visit on Thursday 9, it is obligatory to present the identification document whose reference was sent to the organization (eurocongress)
-
5/16/22
Social Events
All social events are included with the payment of the corresponding registration.
