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This paper deals with a class of nonparametric two-sample tests for ordered alternatives. The test statistics proposed are based on the number of observations from one sample that precede or exceed a threshold specified by the other sample,…

统计理论 · 数学 2016-11-01 Eugenia Stoimenova , N. Balakrishnan

This paper deals with testing the equality of $k$ ($k\ge 2$) distribution functions against possible stochastic ordering among them. Two classes of rank tests are proposed for this testing problem. The statistics of the tests under study…

统计理论 · 数学 2025-06-03 Nikolay I. Nikolov , Eugenia Stoimenova

We study a rank based univariate two-sample distribution-free test. The test statistic is the difference between the average of between-group rank distances and the average of within-group rank distances. This test statistic is closely…

统计方法学 · 统计学 2018-02-28 Jamye Curry , Xin Dang , Hailin Sang

Robust classification algorithms have been developed in recent years with great success. We take advantage of this development and recast the classical two-sample test problem in the framework of classification. Based on the estimates of…

统计理论 · 数学 2019-09-18 Haiyan Cai , Bryan Goggin , Qingtang Jiang

This paper introduces a statistical test inferring whether a variable allows separating two classes by means of a single critical value. Its test statistic is the prediction error of a nonparametric threshold classifier. While this approach…

统计方法学 · 统计学 2017-07-17 Fabian Schroeder

We propose a class of two-sample statistics for testing the equality of proportions and the equality of survival functions. We build our proposal on a weighted combination of a score test for the difference in proportions and a Weighted…

统计方法学 · 统计学 2021-12-08 Marta Bofill Roig , Guadalupe Gómez Melis

This paper proposes a new class of nonparametric tests for the correct specification of models based on conditional moment restrictions, paying particular attention to generalized propensity score models. The test procedure is based on two…

计量经济学 · 经济学 2023-04-18 Pedro H. C. Sant'Anna , Xiaojun Song

Testing the equality in distributions of multiple samples is a common task in many fields. However, this problem for high-dimensional or non-Euclidean data has not been well explored. In this paper, we propose new nonparametric tests based…

统计方法学 · 统计学 2022-05-30 Hoseung Song , Hao Chen

Here we propose a new nonparametric framework for two-sample testing, named as the OVL-$q$ ($q = 1, 2, \ldots$). This can be regarded as a natural extension of the Smirnov test, which is equivalent to the OVL-1. We specifically focus on the…

统计理论 · 数学 2026-02-17 Atsushi Komaba , Hisashi Johno , Kazunori Nakamoto

The basic motivation and primary goal of this paper is a qualitative evaluation of the performance of a new weighted statistic for a nonparametric test for stochastic dominance based on two samples, which was introduced in Ledwina and…

统计理论 · 数学 2018-06-07 Inglot Tadeusz , Ledwina Teresa , Ćmiel Bogdan

Two-sample tests for multivariate data and non-Euclidean data are widely used in many fields. Parametric tests are mostly restrained to certain types of data that meets the assumptions of the parametric models. In this paper, we study a…

统计方法学 · 统计学 2018-05-01 Hao Chen , Xu Chen , Yi Su

Missing data is a common issue in many biomedical studies. Under a paired design, some subjects may have missing values in either one or both of the conditions due to loss of follow-up, insufficient biological samples, etc. Such partially…

A new family of nonparametric statistics, the r-statistics, is introduced. It consists of counting the number of records of the cumulative sum of the sample. The single-sample r-statistic is almost as powerful as Student's t-statistic for…

统计方法学 · 统计学 2015-07-14 Damien Challet

In this paper we deal with the problem of testing for the quality of $k$ probability distributions. We introduce a generalization of the maximum mean discrepancy that permits to characterize the null hypothesis. Then, an estimator of it is…

So-called linear rank statistics provide a means for distribution-free (even in finite samples), yet highly flexible, two-sample testing in the setting of univariate random variables. Their flexibility derives from a choice of weights that…

统计方法学 · 统计学 2023-10-03 Dan D. Erdmann-Pham

In this paper, we propose a new test for the equality of several covariance functions for functional data. Its test statistic is taken as the supremum value of the sum of the squared differences between the estimated individual covariance…

统计方法学 · 统计学 2016-09-16 Jia Guo , Bu Zhou , Jin-Ting Zhang

Two-sample tests for multivariate data and especially for non-Euclidean data are not well explored. This paper presents a novel test statistic based on a similarity graph constructed on the pooled observations from the two samples. It can…

统计方法学 · 统计学 2024-08-12 Hao Chen , Jerome H. Friedman

We introduce fully nonparametric two-sample tests for testing the null hypothesis that the samples come from the same distribution if the values are only indirectly given via current status censoring. The tests are based on the likelihood…

统计理论 · 数学 2013-07-12 Piet Groeneboom

The stochastic block model is a popular tool for detecting community structures in network data. Detecting the difference between two community structures is an important issue for stochastic block models. However, the two-sample test has…

统计方法学 · 统计学 2022-12-21 Kang Fu , Jianwei Hu , Seydou Keita , Hao Liu

We propose a new class of goodness-of-fit tests for the inverse Gaussian distribution. The proposed tests are weighted $L^2$-type tests depending on a tuning parameter. We develop the asymptotic theory under the null hypothesis and under a…

统计方法学 · 统计学 2022-01-31 J. S. Allison , S. Betsch , B. Ebner , I. J. H. Visagie
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