Asymptotically distribution-free statistical test for generalized lorenz curves: An alternative approach |
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| Institution: | 1. Centro Mixto de (UCM-ISCIII) de Evolución y Comportamiento Humanos, c/Monforte de Lemos, 5 (Pabellón 14), 28029 Madrid, Spain;2. Departamento de Paleontología, Facultad de Ciencias Geológicas, Universidad Complutense de Madrid, Madrid, Spain;3. Centro Nacional de Investigación sobre la Evolución Humana Puerta 3, Paseo Sierra de Atapuerca, 09002 Burgos, Spain;4. Departamento de Geología, Geografía y Medio Ambiente, Facultad de Biología, Ciencias Ambientales y Química, Edificio de Ciencias, Campus Universitario, Universidad de Alcalá, Spain;5. Departamento de Anatomía y Anatomía Patológica Comparadas, Facultad de Veterinaria, Universidad Complutense de Madrid, Madrid, Spain;6. Laboratorio de Evolución Humana, Departamento de Ciencias Históricas y Geografía, Universidad de Burgos, Edificio I+D+i, Plaza de Misael Bañuelos s/n, 09001, Burgos, Spain;1. Department of Orthodontics, College of Dentistry, Riyadh Elm University, Riyadh, Saudi Arabia;2. Department of Orthodontics and Dentofacial Orthopedics, Eastman Institute for Oral Health, University of Rochester, NY, USA;3. Department of Community Dentistry and Oral Disease Prevention, Eastman Institute for Oral Health, University of Rochester, NY, USA;4. Department of Surgery, Tertiary Cancer Center, NY, USA;5. Private Dental Practice, Doha, Qatar;6. Department of Periodontology, Stony Brook University, Stony Brook, NY, USA;7. Laboratory for Periodontal-, Implant-, Phototherapy (LA-PIP), School of Dental Medicine, Stony Brook University, Stony Brook, NY, USA;1. Department of Clinical Pharmacology, Faculty of Pharmaceutical Sciences, Niigata University of Pharmacy and Applied Life Sciences, Niigata 956-8603, Japan;2. Department of Cardiovascular Sciences, Houston Methodist Research Institute, Houston, TX 77030, USA;3. Department of Hematology, Endocrinology and Metabolism, Niigata City 951-8510, Japan;4. Department of Gastroenterology, Niigata University Graduate School of Medical and Dental Sciences, Niigata City 951-8510, Japan |
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| Abstract: | A generalized Lorenz (GL) curve differs from a Lorenz curve in that the former is a rescaled version of the latter. A GL curve represents the relationship between the average income computed from a cumulative percentage of the population and the corresponding cumulative percentage. GL dominance is a useful criterion for ranking GL curves either for an economy over time or for a number of economies at one point in time. Relative to a dominated GL curve, a dominating GL curve indicates both that total income for the population is higher and that it is more equally distributed. Hence, it is obviously more desirable in a certain social sense. While sound statistical tests are essential for making statistical inference about GL dominance from sample GL curve estimates, the lack of a suitable joint test procedure for GL dominance is an unsolved problem in income distribution literature. This paper aims at solving this problem and provides an illustrative empirical example to show how to apply this test procedure in empirical research. |
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