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For a set of dependent random variables, without stationary or the strong mixing assumptions, we derive the asymptotic independence between their sums and maxima. Then we apply this result to high-dimensional testing problems, where we…

统计方法学 · 统计学 2022-05-12 Long Feng , Tiefeng Jiang , Xiaoyun Li , Binghui Liu

A consistent goodness-of-fit test for distributional regression is introduced. The test statistic is based on a process that traces the difference between a nonparametric and a semi-parametric estimate of the marginal distribution function…

统计方法学 · 统计学 2025-10-10 Gitte Kremling , Gerhard Dikta

In the regression discontinuity design (RDD), it is common practice to assess the credibility of the design by testing the continuity of the density of the running variable at the cut-off, e.g., McCrary (2008). In this paper we propose an…

计量经济学 · 经济学 2020-02-13 Federico A. Bugni , Ivan A. Canay

Health data are often not symmetric to be adequately modeled through the usual normal distributions; most of them exhibit skewed patterns. They can indeed be modeled better through the larger family of skew-normal distributions covering…

应用统计 · 统计学 2019-09-24 Amarnath Nandy , Ayanendranath Basu , Abhik Ghosh

The score test statistic using the observed information is easy to compute numerically. Its large sample distribution under the null hypothesis is well known and is equivalent to that of the score test based on the expected information, the…

统计理论 · 数学 2018-08-10 N. Karavarsamis , G. Guillera-Arroita , RM Huggins , B J T Morgan

One central goal of design of observational studies is to embed non-experimental data into an approximate randomized controlled trial using statistical matching. Despite empirical researchers' best intention and effort to create…

统计方法学 · 统计学 2022-06-22 Kan Chen , Siyu Heng , Qi Long , Bo Zhang

In this paper we propose a new test of heteroscedasticity for parametric regression models and partial linear regression models in high dimensional settings. When the dimension of covariates is large, existing tests of heteroscedasticity…

统计方法学 · 统计学 2018-08-09 Falong Tan , Xuejun Jiang , Xu Guo , Lixing Zhu

Data depth provides a centre-outward ordering for multivariate data. Recently, some univariate GoF tests based on data depth have been studied by Li (2018). This paper discusses some univariate goodness of fit tests based on centre-outward…

统计方法学 · 统计学 2024-05-14 Rahul Singh

A test of the null hypothesis that a hazard rate is monotone nondecreasing, versus the alternative that it is not, is proposed. Both the test statistic and the means of calibrating it are new. Unlike previous approaches, neither is based on…

统计理论 · 数学 2007-06-13 Peter Hall , Ingrid Van Keilegom

In the past six years, a considerable attention has been given to the extropy measure proposed by Lad et al. (2015). Weighted Extropy of Ranked Set Sampling was studied and compared with simple random sampling by Qiu et al. (2022). The…

统计理论 · 数学 2022-07-06 Nitin Gupta , Santosh Kumar Chaudhary

This paper is mainly concerned with asymptotic studies of weighted bootstrap for u- and v-statistics. We derive the consistency of the weighted bootstrap u- and v-statistics, based on i.i.d. and non i.i.d. observations, from some more…

统计理论 · 数学 2012-10-23 Miklos Csorgo , Masoud M. Nasari

We propose a two-sample test for high-dimensional means that requires neither distributional nor correlational assumptions, besides some weak conditions on the moments and tail properties of the elements in the random vectors. This…

统计方法学 · 统计学 2019-04-17 Kaijie Xue , Fang Yao

Non-deterministic measurements are common in real-world scenarios: the performance of a stochastic optimization algorithm or the total reward of a reinforcement learning agent in a chaotic environment are just two examples in which…

机器学习 · 统计学 2022-08-31 Etor Arza , Josu Ceberio , Ekhiñe Irurozki , Aritz Pérez

Symmetry plays a central role in the sciences, machine learning, and statistics. For situations in which data are known to obey a symmetry, a multitude of methods that exploit symmetry have been developed. Statistical tests for the presence…

统计方法学 · 统计学 2024-12-24 Kenny Chiu , Benjamin Bloem-Reddy

Although the assumption of elliptical symmetry is quite common in multivariate analysis and widespread in a number of applications, the problem of testing the null hypothesis of ellipticity so far has not been addressed in a fully…

统计方法学 · 统计学 2019-11-20 Sladana Babic , Laetitia Gelbgras , Marc Hallin , Christophe Ley

We propose a simple yet powerful test statistic to quantify the discrepancy between two conditional distributions. The new statistic avoids the explicit estimation of the underlying distributions in highdimensional space and it operates on…

机器学习 · 计算机科学 2021-01-01 Shujian Yu , Ammar Shaker , Francesco Alesiani , Jose C. Principe

The cumulative residual extropy (CRJ) is a measure of uncertainty that serves as an alternative to extropy. It replaces the probability density function with the survival function in the expression of extropy. This work introduces a new…

统计方法学 · 统计学 2024-07-17 Gaurav Kandpal , Nitin Gupta

Statistical depth functions provide measures of the outlyingness, or centrality, of the elements of a space with respect to a distribution. It is a nonparametric concept applicable to spaces of any dimension, for instance, multivariate and…

统计理论 · 数学 2024-07-31 Felix Gnettner , Claudia Kirch , Alicia Nieto-Reyes

In this article, we propose two classes of relative information measures based on extropy, viz., the generalized extropy similarity ratio (GESR) and generalized extropy divergence ratio (GEDR), that measure the similarity and discrepancy…

统计方法学 · 统计学 2025-08-20 Saranya P. , Sunoj S. M

We propose using a permutation test to detect discontinuities in an underlying economic model at a known cutoff point. Relative to the existing literature, we show that this test is well suited for event studies based on time-series data.…

计量经济学 · 经济学 2022-07-12 Federico A. Bugni , Jia Li , Qiyuan Li