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Two recently introduced model based bias corrected estimators for proportion of true null hypotheses ($\pi_0$) under multiple hypotheses testing scenario have been restructured for exponentially distributed random observations available for…

统计理论 · 数学 2020-07-28 Aniket Biswas , Gaurangadeb Chattopadhyay , Aditya Chatterjee

This paper proposes a new statistical test to assess the dominance of survival functions in the presence of right-censored data. Traditional methods, such as the log-rank test, are inadequate for determining whether one survival function…

统计方法学 · 统计学 2025-04-10 Félix Belzunce , Carolina Martínez-Riquelme , Jaime Valenciano

In interval censored models with current status observations, the variables are indicators of the presence of individuals on observation intervals and covariates. When several individuals share the same observation interval, a simple…

统计理论 · 数学 2007-10-10 Odile Pons

Interval-censored competing risks data arise when each study subject may experience an event or failure from one of several causes and the failure time is not observed exactly but rather known to lie in an interval between two successive…

统计方法学 · 统计学 2016-03-02 Lu Mao , D. Y. Lin , Donglin Zeng

The problem of making practical, useful goodness of fit tests in the Bayesian paradigm is largely open. We introduce a class of special cases (testing for uniformity: have the cards been shuffled enough; does my random generator work) and a…

统计方法学 · 统计学 2018-04-11 Persi Diaconis , Guanyang Wang

In this work we present novel differentially private identity (goodness-of-fit) testers for natural and widely studied classes of multivariate product distributions: Gaussians in $\mathbb{R}^d$ with known covariance and product…

数据结构与算法 · 计算机科学 2022-03-07 Clément L. Canonne , Gautam Kamath , Audra McMillan , Jonathan Ullman , Lydia Zakynthinou

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

The statistical analysis of discrete data has been the subject of extensive statistical research dating back to the work of Pearson. In this survey we review some recently developed methods for testing hypotheses about high-dimensional…

机器学习 · 统计学 2017-12-19 Sivaraman Balakrishnan , Larry Wasserman

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

Tests for proportional hazards assumption concerning specified covariates or groups of covariates are proposed. The class of alternatives is wide: log-hazard rates under different values of covariates may cross, approach, go away. The data…

统计理论 · 数学 2020-01-20 Vilijandas Bagdonavičius , Rūta Levulienė

We present a unified approach to goodness-of-fit testing in $\mathbb{R}^d$ and on lower-dimensional manifolds embedded in $\mathbb{R}^d$ based on sums of powers of weighted volumes of $k$-th nearest neighbor spheres. We prove asymptotic…

统计方法学 · 统计学 2016-12-21 Bruno Ebner , Norbert Henze , Joseph E. Yukich

We consider the problem of inference in shift-share research designs. The choice between existing approaches that allow for unrestricted spatial correlation involves tradeoffs, varying in terms of their validity when there are relatively…

计量经济学 · 经济学 2022-06-03 Luis Alvarez , Bruno Ferman , Raoni Oliveira

We consider goodness-of-fit tests with i.i.d. samples generated from a categorical distribution $(p_1,...,p_k)$. For a given $(q_1,...,q_k)$, we test the null hypothesis whether $p_j=q_{\pi(j)}$ for some label permutation $\pi$. The…

统计理论 · 数学 2018-07-30 Chao Gao

Conditional independence (CI) testing arises naturally in many scientific problems and applications domains. The goal of this problem is to investigate the conditional independence between a response variable $Y$ and another variable $X$,…

统计方法学 · 统计学 2025-10-07 Adel Javanmard , Mohammad Mehrabi

Symmetry plays a central role in the sciences, machine learning, and statistics. While statistical tests for the presence of distributional invariance with respect to groups have a long history, tests for conditional symmetry in the form of…

统计方法学 · 统计学 2025-12-12 Kenny Chiu , Alex Sharp , Benjamin Bloem-Reddy

Recent works in artificial intelligence fairness attempt to mitigate discrimination by proposing constrained optimization programs that achieve parity for some fairness statistic. Most assume availability of the class label, which is…

机器学习 · 计算机科学 2022-04-01 Wenbin Zhang , Jeremy C. Weiss

In this paper we study bayesian analysis of Modified Weibull distribution under progressively censored competing risk model. This study is made for progressively censored data. We use deterministic scan Gibbs sampling combined with slice…

统计计算 · 统计学 2016-05-24 Arabin Kumar Dey , Abhilash Jha , Sanku Dey

Attribute reduction is one of the most important research topics in the theory of rough sets, and many rough sets-based attribute reduction methods have thus been presented. However, most of them are specifically designed for dealing with…

人工智能 · 计算机科学 2021-01-26 Can Gao , Jie Zhoua , Duoqian Miao , Xiaodong Yue , Jun Wan

This paper adopts a tool from computational topology, the Euler characteristic curve (ECC) of a sample, to perform one- and two-sample goodness of fit tests. We call our procedure TopoTests. The presented tests work for samples of arbitrary…

统计方法学 · 统计学 2024-09-27 Paweł Dłotko , Niklas Hellmer , Łukasz Stettner , Rafał Topolnicki

Many objects studied in astronomy follow a power law distribution function, for example the masses of stars or star clusters. A still used method by which such data is analysed is to generate a histogram and fit a straight line to it. The…

天体物理仪器与方法 · 物理学 2015-05-13 Thomas Maschberger , Pavel Kroupa