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Testing of various classes of life distributions has been addressed in the literature for more than 45 years. In this paper, we consider the problem of testing exponentiality (which essentially implies no ageing) against positive ageing…

统计计算 · 统计学 2012-08-01 M. Z. Anis , Kinjal Basu

Null Hypothesis Significance Testing (NHST) has long been central to the scientific project, guiding theory development and supporting evidence-based intervention and decision-making. Recent years, however, have seen growing awareness of…

统计方法学 · 统计学 2020-10-16 Fintan Costello , Paul Watts

Null Hypothesis Significance Testing (NHST) has long been of central importance to psychology as a science, guiding theory development and underlying the application of evidence-based intervention and decision-making. Recent years, however,…

统计方法学 · 统计学 2020-10-20 Fintan Costello , Paul Watts

In a novel approach to the multiple testing problem, Efron (2004; 2007) formulated estimators of the distribution of test statistics or nominal p-values under a null distribution suitable for modeling the data of thousands of unaffected…

统计方法学 · 统计学 2012-10-30 David R. Bickel

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

An important issue raised by Efron in the context of large-scale multiple comparisons is that in many applications the usual assumption that the null distribution is known is incorrect, and seemingly negligible differences in the null may…

统计理论 · 数学 2007-06-13 Jiashun Jin , T. Tony Cai

We study the distribution of Durbin-Wu-Hausman (DWH) and Revankar-Hartley (RH) tests for exogeneity from a finite-sample viewpoint, under the null and alternative hypotheses. We consider linear structural models with possibly non-Gaussian…

统计方法学 · 统计学 2017-01-26 Firmin Doko Tchatoka , Jean-Marie Dufour

Consider a random sample of $n$ independently and identically distributed $p$-dimensional normal random vectors. A test statistic for complete independence of high-dimensional normal distributions, proposed by Schott (2005), is defined as…

统计理论 · 数学 2017-04-07 Shuhua Chang , Yongcheng Qi

In this paper, four new Chi-Square type statistics are presented for testing the hypothesis of a uniform null versus specified trend alternatives. The powers of these test statistics are compared with the powers of the statistics considered…

统计理论 · 数学 2010-07-30 Clement Ampadu

Nonparametric tests for equality of multivariate distributions are frequently desired in research. It is commonly required that test-procedures based on relatively small samples of vectors accurately control the corresponding Type I Error…

统计方法学 · 统计学 2021-01-14 Ablert Vexler , Gregory Gurevich , Li Zou

We study a stylized multiple testing problem where the test statistics are independent and assumed to have the same distribution under their respective null hypotheses. We first show that, in the normal means model where the test statistics…

统计理论 · 数学 2016-04-27 Ery Arias-Castro , Shiyun Chen

Exact null distributions of goodness-of-fit test statistics are generally challenging to obtain in tractable forms. Practitioners are therefore usually obliged to rely on asymptotic null distributions or Monte Carlo methods, either in the…

统计方法学 · 统计学 2023-09-06 Alberto Fernández-de-Marcos , Eduardo García-Portugués

Testing the equality of the covariance matrices of two high-dimensional samples is a fundamental inference problem in statistics. Several tests have been proposed but they are either too liberal or too conservative when the required…

统计理论 · 数学 2023-01-04 Jin-Ting Zhang , Jingyi Wang , Tianming Zhu

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

This paper considers the problem of testing the equality of two unspecified distributions. The classical omnibus tests such as the Kolmogorov-Smirnov and Cram\`er-von Mises are known to suffer from low power against essentially all but…

统计理论 · 数学 2015-09-15 Wen-Xin Zhou , Chao Zheng , Zhen Zhang

In the framework of semiparametric distribution regression, we consider the problem of comparing the conditional distribution functions corresponding to two samples. In contrast to testing for exact equality, we are interested in the (null)…

计量经济学 · 经济学 2025-06-12 Holger Dette , Kathrin Möllenhoff , Dominik Wied

We propose a general framework for the specification testing of continuous treatment effect models. We assume a general residual function, which includes the average and quantile treatment effect models as special cases. The null models are…

计量经济学 · 经济学 2021-09-06 Wei Huang , Oliver Linton , Zheng Zhang

In this paper, we consider the problem of testing for exponentiality against univariate positive ageing when the underlying sample consists of stationary associated random variables. In particular, we discuss the asymptotic behavior of the…

统计理论 · 数学 2018-09-06 Mansi Garg , Isha Dewan

Evolve and resequence studies provide a popular approach to simulate evolution in the lab and explore its genetic basis. In this context, the chi-square test, Fishers exact test, as well as the Cochran-Mantel-Haenszel test are commonly used…

应用统计 · 统计学 2019-02-22 Kerstin Spitzer , Marta Pelizzola , Andreas Futschik

We present a new approximation to the normal distribution quantile function. It has a similar form to the approximation of Beasley and Springer [3], providing a maximum absolute error of less than $2.5 \cdot 10^{-5}$. This is less accurate…

统计计算 · 统计学 2010-02-03 Paul M. Voutier
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