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This paper studies the asymptotic properties of and alternative inference methods for kernel density estimation (KDE) for dyadic data. We first establish uniform convergence rates for dyadic KDE. Secondly, we propose a modified jackknife…

Econometrics · Economics 2022-05-16 Harold D. Chiang , Bing Yang Tan

This paper develops empirical likelihood methodology for irregularly spaced spatial data in the frequency domain. Unlike the frequency domain empirical likelihood (FDEL) methodology for time series (on a regular grid), the formulation of…

Statistics Theory · Mathematics 2015-03-18 Soutir Bandyopadhyay , Soumendra N. Lahiri , Daniel J. Nordman

Empirical Likelihood (EL) is a type of nonparametric likelihood that is useful in many statistical inference problems, including confidence region construction and $k$-sample problems. It enjoys some remarkable theoretical properties,…

Statistics Theory · Mathematics 2024-12-30 Karthik Bharath , Huiling Le , Andrew T A Wood , Xi Yan

The area under a receiver operating characteristic curve (AUC) is a useful tool to assess the performance of continuous-scale diagnostic tests on binary classification. In this article, we propose an empirical likelihood (EL) method to…

Methodology · Statistics 2022-05-05 Chul Moon , Xinlei Wang , Johan Lim

In this paper, we establish the stochastic ordering of the Gini indexes for multivariate elliptical risks which generalized the corresponding results for multivariate normal risks. It is shown that several conditions on dispersion matrices…

Risk Management · Quantitative Finance 2026-03-17 Xuehua Yin , Dan Zhu , Chuancun Yin

We investigate a generalized empirical likelihood approach in a two-group setting where the constraints on parameters have a form of U-statistics. In this situation, the summands that consist of the constraints for the empirical likelihood…

Methodology · Statistics 2015-05-04 Jihnhee Yu , Luge Yang , Albert Vexler , Alan D. Hutson

Socio-economic inequality is characterized from data using various indices. The Gini ($g$) index, giving the overall inequality is the most common one, while the recently introduced Kolkata ($k$) index gives a measure of $1-k$ fraction of…

Physics and Society · Physics 2016-11-23 Arnab Chatterjee , Asim Ghosh , Bikas K Chakrabarti

Jackknife instrumental variable estimation (JIVE) is a classic method to leverage many weak instrumental variables (IVs) to estimate linear structural models, overcoming the bias of standard methods like two-stage least squares. In this…

Statistics Theory · Mathematics 2024-10-08 Aurélien Bibaut , Nathan Kallus , Apoorva Lal

The empirical likelihood inference is extended to a class of semiparametric models for stationary, weakly dependent series. A partially linear single-index regression is used for the conditional mean of the series given its past, and the…

Methodology · Statistics 2021-05-18 Marie Du Roy de Chaumaray , Matthieu Marbac , Valentin Patilea

The pursuit of having an appropriate level of income inequality should be viewed as one of the biggest challenges facing academic scholars as well as policy makers. Unfortunately, research on this issue is currently lacking. This study is…

General Economics · Economics 2022-01-04 Thitithep Sitthiyot , Kanyarat Holasut

In this paper, we use the empirical likelihood method to construct the confidence regions for the difference between the parameters of a two-phases nonlinear model with random design. We show that the empirical likelihood ratio has an…

Statistics Theory · Mathematics 2015-02-18 Zahraa Salloum

This paper considers the maximum generalized empirical likelihood (GEL) estimation and inference on parameters identified by high dimensional moment restrictions with weakly dependent data when the dimensions of the moment restrictions and…

Statistics Theory · Mathematics 2015-01-28 Jinyuan Chang , Song Xi Chen , Xiaohong Chen

In this paper, we propose considering an exact likelihood score (ELS) test for non-inferiority comparison and we derive its test-based confidence interval for the difference between two independent binomial proportions. The p-value for this…

Methodology · Statistics 2022-07-12 Hassan Lakkis , Andrew Lakkis

We study the problems related to the estimation of the Gini index in presence of a fat-tailed data generating process, i.e. one in the stable distribution class with finite mean but infinite variance (i.e. with tail index $\alpha\in(1,2)$).…

Methodology · Statistics 2018-05-02 Andrea Fontanari , Nassim Nicholas Taleb , Pasquale Cirillo

Efron [J. Roy. Statist. Soc. Ser. B 54 (1992) 83--111] proposed a computationally efficient method, called the jackknife-after-bootstrap, for estimating the variance of a bootstrap estimator for independent data. For dependent data, a…

Statistics Theory · Mathematics 2007-06-13 S. N. Lahiri

Longitudinal data are common in clinical trials and observational studies, where missing outcomes due to dropouts are always encountered. Under such context with the assumption of missing at random, the weighted generalized estimating…

Methodology · Statistics 2019-04-30 Chixiang Chen , Biyi Shen , Lijun Zhang , Yuan Xue , Ming Wang

The evolution of Gini coefficient for personal incomes in the USA between 1947 and 2005 is analyzed and modeled. There are several versions of personal income distribution (PID) provided by the US Census Bureau (US CB) for this period with…

General Finance · Quantitative Finance 2008-12-02 Ivan O. Kitov

Via an axiomatic approach, we characterize the family of n-th order Gini deviation, defined as the expected range over n independent draws from a distribution, to quantify joint dispersion across multiple observations. This family extends…

Mathematical Finance · Quantitative Finance 2025-09-16 Xia Han , Ruodu Wang , Qinyu Wu

The Gini coefficient is an universally used measurement of income inequality. Intersectoral GDP contributions reveal the economic development of different sectors of the national economy. Linking intersectoral GDP contributions to Gini…

Methodology · Statistics 2024-05-14 Jingcheng Meng , Yimeng Ren , Xuening Zhu , Guanyu Hu

The categorical Gini correlation proposed by Dang et al. is a dependence measure to characterize independence between categorical and numerical variables. The asymptotic distributions of the sample correlation under dependence and…

Statistics Theory · Mathematics 2023-04-19 Yongli Sang , Xin Dang
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