Lorenz Ordering Within the Generalized Gamma Family of Income Distributions

Author(s):  
Charles Taillie
2021 ◽  
Vol 17 (4) ◽  
pp. 215-220
Author(s):  
Ting Zhang ◽  
Ping Wang ◽  
Tao Liu ◽  
Cheng Jia ◽  
Wei-na Pang ◽  
...  

Mathematics ◽  
2021 ◽  
Vol 9 (13) ◽  
pp. 1571
Author(s):  
Irina Shevtsova ◽  
Mikhail Tselishchev

We investigate the proximity in terms of zeta-structured metrics of generalized negative binomial random sums to generalized gamma distribution with the corresponding parameters, extending thus the zeta-structured estimates of the rate of convergence in the Rényi theorem. In particular, we derive upper bounds for the Kantorovich and the Kolmogorov metrics in the law of large numbers for negative binomial random sums of i.i.d. random variables with nonzero first moments and finite second moments. Our method is based on the representation of the generalized negative binomial distribution with the shape and exponent power parameters no greater than one as a mixed geometric law and the infinite divisibility of the negative binomial distribution.


Stochastics ◽  
2021 ◽  
pp. 1-18
Author(s):  
Ji Hwan Cha ◽  
Sophie Mercier

2020 ◽  
Vol 1591 ◽  
pp. 012043
Author(s):  
M A A Boshi ◽  
S H Abid ◽  
N H Al-Noor

2015 ◽  
Vol 27 (02) ◽  
pp. 1630001 ◽  
Author(s):  
Dietrich Stauffer

Capital usually leads to income and income is more accurately and easily measured. Thus, we summarize income distributions in USA, Germany, etc.


2011 ◽  
Vol 81 (7) ◽  
pp. 827-842 ◽  
Author(s):  
Gauss M. Cordeiro ◽  
Edwin M.M. Ortega ◽  
Giovana O. Silva

Sign in / Sign up

Export Citation Format

Share Document