Alternative empirical distributions based on weighted linear combinations of order statistics

2000 ◽  
Vol 18 (1) ◽  
pp. 87-99
Author(s):  
Theodore P. Hill ◽  
James Mann
Keyword(s):  
Order Statistics ◽  
Linear Combinations ◽  
Empirical Distributions

On Inferring Income Inequality Measures Using L-moments

2015 ◽  
Vol 30 (2) ◽  
Author(s):  
N. Sreelakshmi ◽  
G. Asha ◽  
K. R. Muraleedharan Nair
Keyword(s):  
Income Inequality ◽  
Reliability Analysis ◽  
Order Statistics ◽  
Linear Combinations ◽  
Inequality Measures ◽  
Functional Relationships ◽  
L Moments

AbstractL-moments are expectations of linear combinations of order statistics, their use in reliability analysis has been established. In the present paper we study L-moments in relation to income inequality measures. Models characterized by functional relationships between L-moments and income inequality measures are studied. Finally, we define the ordering based on L-moments and study its implications on other existing orderings.

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