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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

We introduce a new method for two-sample testing of high-dimensional linear regression coefficients without assuming that those coefficients are individually estimable. The procedure works by first projecting the matrices of covariates and…

统计理论 · 数学 2023-05-11 Fengnan Gao , Tengyao Wang

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

The process comparing the empirical cumulative distribution function of the sample with a parametric estimate of the cumulative distribution function is known as the empirical process with estimated parameters and has been extensively…

统计方法学 · 统计学 2012-10-08 Ivan Kojadinovic , Jun Yan

This paper considers inference for a function of a parameter vector in a partially identified model with many moment inequalities. This framework allows the number of moment conditions to grow with the sample size, possibly at exponential…

统计理论 · 数学 2018-07-02 Alexandre Belloni , Federico Bugni , Victor Chernozhukov

The Mann-Whitney effect is an intuitive measure for discriminating two survival distributions. Here we analyze various inference techniques for this parameter in a two-sample survival setting with independent right-censoring, where the…

统计理论 · 数学 2016-09-26 Dennis Dobler , Markus Pauly

In the regression framework, the empirical measure based on the responses resulting from the nearest neighbors, among the covariates, to a given point $x$ is introduced and studied as a central statistical quantity. First, the associated…

统计理论 · 数学 2024-04-11 François Portier

Causal inference is crucial for understanding the true impact of interventions, policies, or actions, enabling informed decision-making and providing insights into the underlying mechanisms that shape our world. In this paper, we establish…

统计方法学 · 统计学 2024-03-26 Jingyue Huang , Changbao Wu , Leilei Zeng

The recent availability of routine medical data, especially in a university-clinical context, may enable the discovery of typical healthcare pathways, i.e., typical temporal sequences of clinical interventions or hospital readmissions.…

统计方法学 · 统计学 2021-09-22 Nadine Binder , Kathrin Möllenhoff , August Sigle , Holger Dette

We propose three test criteria each of which is appropriate for testing, respectively, the equivalence hypotheses of symmetry, of homogeneity, and of independence, with multivariate data. All quantities have the common feature of involving…

统计方法学 · 统计学 2023-11-09 Feifei Chen , Simos G. Meintanis , Lixing Zhu

Inference for functional linear models in the presence of heteroscedastic errors has received insufficient attention given its practical importance; in fact, even a central limit theorem has not been studied in this case. At issue,…

统计理论 · 数学 2024-05-27 Hyemin Yeon , Xiongtao Dai , Daniel John Nordman

We develop a new statistical procedure to test whether the dependence structure is identical between two groups. Rather than relying on a single index such as Pearson's correlation coefficient or Kendall's Tau, we consider the entire…

计量经济学 · 经济学 2018-11-07 Juwon Seo

A new inequality between some functional of probability distribution functions is given. The inequality is based on strict convexity of a function used in functional definition. Equality sign in the inequality gives a characteristic…

概率论 · 数学 2018-05-18 Lev B. Klebanov , Irina V. Volchenkova

The object of study is the problem of testing for uniformity of the multinomial distribution. We consider tests based on symmetric statistics, defined as the sum of some function of cell-frequencies. Mainly, attention is focused on the…

统计理论 · 数学 2022-09-12 Sherzod M. Mirakhmedov

The classical approach to analyze time-to-event data, e.g. in clinical trials, is to fit Kaplan-Meier curves yielding the treatment effect as the hazard ratio between treatment groups. Afterwards commonly a log-rank test is performed in…

统计方法学 · 统计学 2020-09-16 Kathrin Möllenhoff , Achim Tresch

This paper proposes the asymmetric linear double autoregression, which jointly models the conditional mean and conditional heteroscedasticity characterized by asymmetric effects. A sufficient condition is established for the existence of a…

统计方法学 · 统计学 2021-04-22 Songhua Tan , Qianqian Zhu

In this article, the analysis of left truncated and right censored competing risks data is carried out, under the assumption of the latent failure times model. It is assumed that there are two competing causes of failures, although most of…

统计方法学 · 统计学 2020-08-19 Debasis Kundu , Debanjan Mitra , Ayon Ganguly

The bootstrap is a method for estimating the distribution of an estimator or test statistic by re-sampling the data or a model estimated from the data. Under conditions that hold in a wide variety of econometric applications, the bootstrap…

计量经济学 · 经济学 2018-09-12 Joel L. Horowitz

The problem of testing the equality of the generating processes of two categorical time series is addressed in this work. To this aim, we propose three tests relying on a dissimilarity measure between categorical processes. Particular…

统计方法学 · 统计学 2023-05-02 Ángel López-Oriona , José Antonio Vilar Fernández , Pierpaolo D'Urso

This paper addresses the problem of fitting a known distribution to the innovation distribution in a class of stationary and ergodic time series models. The asymptotic null distribution of the usual Kolmogorov--Smirnov test based on the…

统计理论 · 数学 2007-06-13 Hira L. Koul , Shiqing Ling