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It is quite common in modern research, for a researcher to test many hypotheses. The statistical (frequentist) hypothesis testing framework, does not scale with the number of hypotheses in the sense that naively performing many hypothesis…

统计方法学 · 统计学 2013-06-26 Jonathan Rosenblatt

A number of biomedical problems require performing many hypothesis tests, with an attendant need to apply stringent thresholds. Often the data take the form of a series of predictor vectors, each of which must be compared with a single…

统计方法学 · 统计学 2014-05-13 Yi-Hui Zhou , Fred Wright

In the paper, the question whether truth values can be assigned to the propositions before their verification is discussed. To answer this question, a notion of a propositionally noncontextual theory is introduced that in order to explain…

量子物理 · 物理学 2017-09-27 Arkady Bolotin

We study the detection capability of the weak-value amplification on the basis of the statistical hypothesis testing. We propose a reasonable testing method in the physical and statistical senses to find that the weak measurement with the…

量子物理 · 物理学 2015-08-17 Yuki Susa , Saki Tanaka

The classical binary hypothesis testing problem is revisited. We notice that when one of the hypotheses is composite, there is an inherent difficulty in defining an optimality criterion that is both informative and well-justified. For…

统计理论 · 数学 2021-03-29 Michael Bell , Yuval Kochman

Research in information systems includes a wide range of approaches which make a contribution in terms of knowledge, understanding, or practical developments. The measure of any research is, ultimately, its validity: are its finding true,…

计算机与社会 · 计算机科学 2017-01-18 John Mingers , Craig Standing

The impact of including postcursors in the null hypothesis test is discussed. Unequal prediction probabilities can be included in the null hypothesis test using a generalization of the central limit theorem. A test for determining the…

统计方法学 · 统计学 2020-02-18 Kurt S. Riedel

Assume that an estimator is asymptotically normal for a target parameter under some conditions. Suppose also that one can test these conditions, and one conducts inference for the target only if the pre-test is not rejected. Does such…

计量经济学 · 经济学 2026-04-21 Clément de Chaisemartin , Xavier D'Haultfœuille

Conformal testing is a way of testing the IID assumption based on conformal prediction. The topic of this note is computational evaluation of the performance of conformal testing in a model situation in which IID binary observations…

机器学习 · 计算机科学 2021-04-06 Vladimir Vovk

The idea of fully accepting statements when the evidence has rendered them probable enough faces a number of difficulties. We leave the interpretation of probability largely open, but attempt to suggest a contextual approach to full belief.…

人工智能 · 计算机科学 2013-02-08 Henry E. Kyburg

Reliability has long been treated as an engineering practice supported by testing, statistics and standards, yet its status as a scientific discipline remains unsettled. From a philosophical perspective, scientific truth is characterized by…

物理与社会 · 物理学 2026-01-13 Xiao-Yang Li , Shi-Shun Chen , Waichon Lio , Rui Kang

Testing of hypotheses is a well studied topic in mathematical statistics. Recently, this issue has also been addressed in the context of Inverse Problems, where the quantity of interest is not directly accessible but only after the…

统计理论 · 数学 2024-04-09 Remo Kretschmann , Daniel Wachsmuth , Frank Werner

Correlated proportions arise in longitudinal (panel) studies. A typical example is the ``opinion swing'' problem: ``Has the proportion of people favoring a politician changed after his recent speech to the nation on TV?''. Since the same…

统计理论 · 数学 2007-07-27 Guido Consonni , Luca La Rocca

A popular framework for false discovery control is the random effects model in which the null hypotheses are assumed to be independent. This paper generalizes the random effects model to a conditional dependence model which allows…

统计理论 · 数学 2008-12-18 Wei Biao Wu

Many commonly used test statistics are based on a norm measuring the evidence against the null hypothesis. To understand how the choice of a norm affects power properties of tests in high dimensions, we study the consistency sets of…

统计理论 · 数学 2022-02-01 Anders Bredahl Kock , David Preinerstorfer

The use of null hypotheses (in a statistical sense) is common in hard sciences but not in theoretical linguistics. Here the null hypothesis that the low frequency of syntactic dependency crossings is expected by an arbitrary ordering of…

计算与语言 · 计算机科学 2020-09-24 Ramon Ferrer-i-Cancho

In previous work, summarized in this paper, we proposed an operation of parallel composition for rewriting-logic theories, allowing compositional specification of systems and reusability of components. The present paper focuses on…

计算机科学中的逻辑 · 计算机科学 2023-08-01 Óscar Martín , Alberto Verdejo , Narciso Martí-Oliet

Data with multiple functional recordings at each observational unit are increasingly common in various fields including medical imaging and environmental sciences. To conduct inference for such observations, we develop a paired two-sample…

统计方法学 · 统计学 2025-06-16 Colin Decker , Dehan Kong , Stanislav Volgushev

Complex phenomena in engineering and the sciences are often modeled with computationally intensive feed-forward simulations for which a tractable analytic likelihood does not exist. In these cases, it is sometimes necessary to estimate an…

统计方法学 · 统计学 2020-06-18 Niccolò Dalmasso , Ann B. Lee , Rafael Izbicki , Taylor Pospisil , Ilmun Kim , Chieh-An Lin

Estimates based on 2x2 tables of frequencies are widely used in statistical applications. However, in many cases these tables are incomplete in the sense that the data required to compute the frequencies for a subset of the cells defining…

统计理论 · 数学 2018-08-31 Li-Chun Zhang , Raymond L. Chambers
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