scholarly journals Influence function-based empirical likelihood and generalized confidence intervals for the Lorenz curve

2019 ◽  
Vol 29 (3) ◽  
pp. 427-446
Author(s):  
Yuyin Shi ◽  
Bing Liu ◽  
Gengsheng Qin
Keyword(s):  
Confidence Intervals ◽  
Empirical Likelihood ◽  
Influence Function ◽  
Lorenz Curve ◽  
Generalized Confidence Intervals ◽  
The Lorenz Curve

Influence function-based empirical likelihood for inference of quantile medical costs with censored data

2019 ◽  
Vol 29 (7) ◽  
pp. 1913-1934
Author(s):  
Jenny Jeyarajah ◽  
Guanhao Wei ◽  
Gengsheng Qin
Keyword(s):  
Confidence Intervals ◽  
Censored Data ◽  
Empirical Likelihood ◽  
Influence Function ◽  
Likelihood Ratio Statistic ◽  
Medical Costs ◽  
Finite Sample ◽  
Chi Square ◽  
Coverage Probabilities ◽  
Interval Lengths

In this paper, we propose empirical likelihood methods based on influence function and Jackknife techniques to construct confidence intervals for quantile medical costs with censored data. We show that the influence function-based empirical log-likelihood ratio statistic for the quantile medical cost has a standard Chi-square distribution as its asymptotic distribution. Simulation studies are conducted to compare coverage probabilities and interval lengths of the proposed empirical likelihood confidence intervals with the existing normal approximation-based confidence intervals for quantile medical costs. The proposed methods are observed to have better finite-sample performances than existing methods. The new methods are also illustrated through a real example.

Empirical likelihood-based inferences for the Lorenz curve

2012 ◽  
Vol 65 (1) ◽  
pp. 1-21 ◽  
Author(s):  
Gengsheng Qin ◽  
Baoying Yang ◽  
Nelly E. Belinga-Hall
Keyword(s):  
Empirical Likelihood ◽  
Lorenz Curve ◽  
The Lorenz Curve

The Contest for Olympic Success as a Public Good

2013 ◽  
Author(s):  
Loek Groot
Keyword(s):  
Lorenz Curve ◽  
Gini Index ◽  
World Population ◽  
Level Playing Field ◽  
Actual Distribution ◽  
Playing Field ◽  
Inequality Measures ◽  
The Rich ◽  
The Lorenz Curve ◽  
Rich Countries

In this study it is demonstrated that standard income inequality measures, such as the Lorenz curve and the Gini index, can successfully be applied to the distribution of Olympic success. Olympic success is distributed very unevenly, with the rich countries capturing a disproportionately higher share compared to their world population share, which suggests that the Olympic Games do not provide a level playing field. The actual distribution of Olympic success is compared with alternative hypothetical distributions, among which are chosen the distribution according to population shares, the welfare optimal distribution under the assumption of zero government expenditures, and the non-cooperating Nash-Cournot distribution. By way of conclusion, a device is proposed to make the distribution of Olympic success more equitable.

scholarly journals Empirical likelihood confidence intervals for the Gini measure of income inequality

2010 ◽  
Vol 27 (6) ◽  
pp. 1429-1435 ◽  
Author(s):  
Yongsong Qin ◽  
J.N.K. Rao ◽  
Changbao Wu
Keyword(s):  
Income Inequality ◽  
Confidence Intervals ◽  
Empirical Likelihood
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