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In lifetime data, like cancer studies, theremay be long term survivors, which lead to heavy censoring at the end of the follow-up period. Since a standard survival model is not appropriate to handle these data, a cure model is needed. In…

Methodology · Statistics 2024-01-31 Ana López-Cheda , M. Amalia Jácome , Ingrid Van Keilegom , Ricardo Cao

In this paper, we investigate the hypothesis testing problem that checks whether part of covariates / confounders significantly affect the heterogeneous treatment effect given all covariates. This model checking is particularly useful in…

Statistics Theory · Mathematics 2020-09-24 Niwen Zhou , Xu Guo , Lixing Zhu

The issue addressed in this paper is that of testing for common breaks across or within equations of a multivariate system. Our framework is very general and allows integrated regressors and trends as well as stationary regressors. The null…

Statistics Theory · Mathematics 2018-01-12 Tatsushi Oka , Pierre Perron

A mixture with varying concentrations is a modification of a finite mixture model in which the mixing probabilities (concentrations of mixture components) may be different for different observations. In the paper, we assume that the…

Probability · Mathematics 2015-03-19 Alexey Doronin , Rostyslav Maiboroda

Consider $k$ independent random samples from $p$-dimensional multivariate normal distributions. We are interested in the limiting distribution of the log-likelihood ratio test statistics for testing for the equality of $k$ covariance…

Statistics Theory · Mathematics 2023-05-23 Wenchuan Guo , Yongcheng Qi

We consider the hypothesis testing problem that two vertices $i$ and $j$ of a generalized random dot product graph have the same latent positions, possibly up to scaling. Special cases of this hypothesis test include testing whether two…

Methodology · Statistics 2022-03-15 Xinjie Du , Minh Tang

This paper proposes new parametric model adequacy tests for possibly nonlinear and nonstationary time series models with noncontinuous data distribution, which is often the case in applied work. In particular, we consider the correct…

Statistics Theory · Mathematics 2021-08-10 Igor Kheifets , Carlos Velasco

In this article, we propose a one-sample test to check whether the support of the unknown distribution generating the data is homologically equivalent to the support of some specified distribution or not OR using the corresponding…

Methodology · Statistics 2023-12-01 Satish Kumar , Subhra Sankar Dhar

We introduce a new framework for constructing tests of general semiparametric hypotheses which have nontrivial power on the $n^{-1/2}$ scale in every direction, and can be tailored to put substantial power on alternatives of importance. The…

Statistics Theory · Mathematics 2007-06-13 Peter J. Bickel , Ya'acov Ritov , Thomas M. Stoker

The problem of binary hypothesis testing between two probability measures is considered. New sharp bounds are derived for the best achievable error probability of such tests based on independent and identically distributed observations.…

Information Theory · Computer Science 2024-05-30 Valentinian Lungu , Ioannis Kontoyiannis

This paper provides asymptotically valid tests for the null hypothesis of no treatment effect heterogeneity. Importantly, I consider the presence of heterogeneity that is not explained by observed characteristics, or so-called idiosyncratic…

Econometrics · Economics 2023-04-04 Jaime Ramirez-Cuellar

We consider parametric tests for multidimensional ergodic diffusions based on high frequency data. We propose two-step testing method for diffusion parameters and drift parameters. To construct test statistics of the tests, we utilize the…

Statistics Theory · Mathematics 2020-10-27 Tetsuya Kawai , Masayuki Uchida

Parametric hypothesis testing associated with two independent samples arises frequently in several applications in biology, medical sciences, epidemiology, reliability and many more. In this paper, we propose robust Wald-type tests for…

Methodology · Statistics 2019-05-09 Abhik Ghosh , Nirian Martin , Ayanendranath Basu , Leandro Pardo

Robust tests of general composite hypothesis under non-identically distributed observations is always a challenge. Ghosh and Basu (2018, Statistica Sinica, 28, 1133--1155) have proposed a new class of test statistics for such problems based…

Statistics Theory · Mathematics 2019-01-08 Abhik Ghosh , Ayanendranath Basu

Several hypothesis testing methods have been proposed to validate the assumption of isotropy in spatial point patterns. A majority of these methods are characterised by an unknown distribution of the test statistic under the null hypothesis…

Methodology · Statistics 2025-04-09 Jakub J. Pypkowski , Adam M. Sykulski , James S. Martin

In cell biology, statistical analysis means testing the hypothesis that there was no effect. This weak form of hypothesis testing neglects effect size, is universally misinterpreted, and is disastrously prone to error when combined with…

Other Quantitative Biology · Quantitative Biology 2025-05-13 Josh L. Morgan

In subgroup analysis, testing the existence of a subgroup with a differential treatment effect serves as protection against spurious subgroup discovery. Despite its importance, this hypothesis testing possesses a complicated nature:…

Statistics Theory · Mathematics 2025-03-21 Shota Takeishi

We investigate a generalized empirical likelihood approach in a two-group setting where the constraints on parameters have a form of U-statistics. In this situation, the summands that consist of the constraints for the empirical likelihood…

Methodology · Statistics 2015-05-04 Jihnhee Yu , Luge Yang , Albert Vexler , Alan D. Hutson

We show that the use of probabilistic noiseless amplification in entangled coherent state-based schemes for the test of quantum non locality provides substantial advantages. The threshold amplitude to falsify a Bell-CHSH non locality test,…

Quantum Physics · Physics 2013-05-14 G. Torlai , G. McKeown , P. Marek , R. Filip , H. Jeong , M. Paternostro , G. De Chiara

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 $X$,…

Methodology · Statistics 2025-10-07 Adel Javanmard , Mohammad Mehrabi