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The Gini correlation plays an important role in measuring dependence of random variables with heavy tailed distributions, whose properties are a mixture of Pearson's and Spearman's correlations. Due to the structure of this dependence…

统计方法学 · 统计学 2018-06-05 Yongli Sang , Xin Dang , Yichuan Zhao

The categorical Gini correlation is an alternative measure of dependence between a categorical and numerical variables, which characterizes the independence of the variables. A nonparametric test for the equality of K distributions has been…

统计方法学 · 统计学 2019-08-02 Yongli Sang , Xin Dang , Yichuan Zhao

Widely used income inequality measure, Gini index is extended to form a family of income inequality measures known as Single-Series Gini (S-Gini) indices. In this study, we develop empirical likelihood (EL) and jackknife empirical…

统计方法学 · 统计学 2024-05-29 Sreelakshmi N , Sudheesh K Kattumannil , Rituparna Sen

The categorical Gini covariance is a dependence measure between a numerical variable and a categorical variable. The Gini covariance measures dependence by quantifying the difference between the conditional and unconditional distributional…

统计方法学 · 统计学 2025-09-22 Saparya Suresh , Sudheesh K. Kattumannil

We develop a jackknife empirical likelihood (JEL) framework for inference on parameters defined through multivariate three-sample U-statistic. From three independent multivariate samples, we construct JEL ratio statistic based on suitable…

统计方法学 · 统计学 2025-12-03 Naresh Garg , Litty Mathew , Isha Dewan , Sudheesh Kumar Kattumannil

In the present article, we discuss jackknife empirical likelihood (JEL) and adjusted jackknife empirical likelihood (AJEL) based inference for finding confidence intervals for probability weighted moment (PWM). We obtain the asymptotic…

统计方法学 · 统计学 2018-07-13 Deepesh Bhati , Sudheesh K Kattumannil , N Sreelakshmi

Jackknife empirical likelihood (JEL) is an effective modified version of empirical likelihood method (EL). Through the construction of the jackknife pseudo-values, JEL overcomes the computational difficulty of EL method when its constraints…

统计方法学 · 统计学 2016-03-15 Ying-Ju Chen , Wei Ning

Log symmetric distributions are useful in modeling data which show high skewness and have found applications in various fields. Using a recent characterization for log symmetric distributions, we propose a goodness of fit test for testing…

统计方法学 · 统计学 2024-10-08 Anjana S , Sudheesh Kattumannil

In many applications, parameters of interest are estimated by solving some non-smooth estimating equations with $U$-statistic structure. Jackknife empirical likelihood (JEL) approach can solve this problem efficiently by reducing the…

统计方法学 · 统计学 2019-06-18 Yongli Sang , Xin Dang , Yichuan Zhao

In the present article, we propose jackknife empirical likelihood (JEL) ratio test for testing the independence of time to failure and cause of failure in competing risks data. We use U-statistic theory to derive the JEL ratio test. The…

统计方法学 · 统计学 2021-10-19 Sreelakshmy N. , Sreedevi E. P

Semivariance is a measure of the dispersion of all observations that fall above the mean or target value of a random variable and it plays an important role in life-length, actuarial and income studies. In this paper, we develop a new…

统计方法学 · 统计学 2024-02-29 Saparya Suresh , Sudheesh K. Kattumannil

We propose the so-called jackknife empirical likelihood approach for the survey data of general unequal probability sampling designs, and analyze parameters defined according to U-statistics. We prove theoretically that jackknife…

统计方法学 · 统计学 2023-03-28 Mengdong Shang , Xia Chen

This article proposes an inferential framework for comparing predictor importance in classification problems with categorical response variables. The approach is based on the categorical Gini correlation (CGC) proposed by Dang et al.…

统计方法学 · 统计学 2026-05-19 Sameera Hewage , Yongli Sang

We propose a new Gini correlation to measure dependence between a categorical and numerical variables. Analogous to Pearson $R^2$ in ANOVA model, the Gini correlation is interpreted as the ratio of the between-group variation and the total…

统计方法学 · 统计学 2019-07-10 Xin Dang , Dao Nguyen , Yixin Chen , Junying Zhang

We introduce a novel approach called the Bayesian Jackknife empirical likelihood method for analyzing survey data obtained from various unequal probability sampling designs. This method is particularly applicable to parameters described by…

统计方法学 · 统计学 2023-09-14 Mengdong Shang , Xia Chen

Heavy-tailed distributions, such as the Cauchy distribution, are acknowledged for providing more accurate models for financial returns, as the normal distribution is deemed insufficient for capturing the significant fluctuations observed in…

统计理论 · 数学 2025-07-31 Ganesh Vishnu Avhad , Ananya Lahiri , Sudheesh K. Kattumannil

Bivariate extreme-value distributions have been used in modeling extremes in environmental sciences and risk management. An important issue is estimating the dependence function, such as the Pickands dependence function. Some estimators for…

统计理论 · 数学 2013-03-21 Liang Peng , Linyi Qian , Jingping Yang

Survival extropy, which quantifies the uncertainty associated with the remaining lifetime distribution, provides an information-theoretic perspective on survival behavior. We consider a divergence measure based on survival extropy and…

统计理论 · 数学 2025-12-03 Naresh Garg , Isha Dewan , Sudheesh Kumar Kattumannil

Categorical Gini Correlation (CGC), introduced by Dang et al. (2020), is a novel dependence measure designed to quantify the association between a numerical variable and a categorical variable. It has appealing properties compared to…

统计方法学 · 统计学 2026-05-12 Sameera Hewage

Identifying statistical dependence between the features and the label is a fundamental problem in supervised learning. This paper presents a framework for estimating dependence between numerical features and a categorical label using…

机器学习 · 计算机科学 2021-10-01 Silu Zhang , Xin Dang , Dao Nguyen , Dawn Wilkins , Yixin Chen
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