scholarly journals Orden de Lorenz en la familia de distribuciones gamma triparamétricas = Lorenz ordering of the three parameter gamma distributions

Author(s):  
Héctor Manuel Ramos Romero ◽  
Miguel Ángel Sordo Díaz

<p>El orden de Lorenz es una herramienta adecuada para comparar la desigualdad de dos distribuciones de rentas. En este artículo obtenemos una condición suficiente para que dos distribuciones sean comparables en el orden de Lorenz y aplicamos el resultado para ordenar la familia de distribuciones Gamma triparamétricas.</p><p>Lorenz ordering is an useful tool for comparing inequality of income distributions. In this note, we give a sufficient condition for this order and then apply it to order the three parameter family of Gamma distributions.</p>

Author(s):  
Héctor Manuel Ramos Romero ◽  
Miguel Ángel Sordo Díaz

<p>El orden de Lorenz es una herramienta adecuada para comparar la desigualdad de dos distribuciones de rentas. En este artículo obtenemos una condición suficiente para que dos distribuciones sean comparables en el orden de Lorenz y aplicamos el resultado para ordenar la familia de distribuciones Gamma triparamétricas.</p><p>Lorenz ordering is an useful tool for comparing inequality of income distributions. In this note, we give a sufficient condition for this order and then apply it to order the three parameter family of Gamma distributions.</p>


2009 ◽  
Vol 18 (5) ◽  
pp. 691-705 ◽  
Author(s):  
GYÖRGY ELEKES ◽  
MIKLÓS SIMONOVITS ◽  
ENDRE SZABÓ

We give a very general sufficient condition for a one-parameter family of curves not to have n members with ‘too many’ (i.e., a near-quadratic number of) triple points of intersections. As a special case, a combinatorial distinction between straight lines and unit circles will be shown. (Actually, this is more than just a simple application; originally this motivated our results.)


Nonlinearity ◽  
2021 ◽  
Vol 35 (1) ◽  
pp. 311-342
Author(s):  
Oreoluwa Adekoya ◽  
John P Albert

Abstract We study the existence of maximisers for a one-parameter family of Strichartz inequalities on the torus. In general, maximising sequences can fail to be precompact in L 2 ( T ) , and maximisers can fail to exist. We provide a sufficient condition for precompactness of maximising sequences (after translation in Fourier space), and verify the existence of maximisers for a range of values of the parameter. Maximisers for the Strichartz inequalities correspond to stable, periodic (in space and time) solutions of a model equation for optical pulses in a dispersion-managed fiber.


Author(s):  
John H. Luft

With information processing devices such as radio telescopes, microscopes or hi-fi systems, the quality of the output often is limited by distortion or noise introduced at the input stage of the device. This analogy can be extended usefully to specimen preparation for the electron microscope; fixation, which initiates the processing sequence, is the single most important step and, unfortunately, is the least well understood. Although there is an abundance of fixation mixtures recommended in the light microscopy literature, osmium tetroxide and glutaraldehyde are favored for electron microscopy. These fixatives react vigorously with proteins at the molecular level. There is clear evidence for the cross-linking of proteins both by osmium tetroxide and glutaraldehyde and cross-linking may be a necessary if not sufficient condition to define fixatives as a class.


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