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Large deviation theory has provided important clues for the choice of importance sampling measures for Monte Carlo evaluation of exceedance probabilities. However, Glasserman and Wang [Ann. Appl. Probab. 7 (1997) 731--746] have given…

Probability · Mathematics 2007-05-23 Hock Peng Chan , Tze Leung Lai

To assess the quality of a test suite, one can rely on mutation testing, which computes whether the overall test cases are adequately exercising the covered lines. However, this high level of granularity may overshadow the quality of…

Software Engineering · Computer Science 2022-03-25 Victor Veloso , Andre Hora

Monte Carlo tests are widely used for computing valid p-values without requiring known distributions of test statistics. When performing multiple Monte Carlo tests, it is essential to maintain control of the type I error. Some techniques…

Methodology · Statistics 2025-12-08 Christophe A. N. Biscio , Adrien Mazoyer , Martin V. Vejling

Testing whether the observed data conforms to a purported model (probability distribution) is a basic and fundamental statistical task, and one that is by now well understood. However, the standard formulation, identity testing, fails to…

Statistics Theory · Mathematics 2021-05-06 Clément L. Canonne , Karl Wimmer

Mutation testing is the state-of-the-art technique for assessing the fault-detection capacity of a test suite. Unfortunately, mutation testing consumes enormous computing resources because it runs the whole test suite for each and every…

Software Engineering · Computer Science 2018-10-10 Sten Vercammen , Mohammad Ghafari , Serge Demeyer , Markus Borg

Importance sampling Monte-Carlo methods are widely used for the approximation of expectations with respect to partially known probability measures. In this paper we study a deterministic version of such an estimator based on quasi-Monte…

Computation · Statistics 2024-12-20 Josef Dick , Daniel Rudolf , Houying Zhu

We propose a permutation-based method for testing a large collection of hypotheses simultaneously. Our method provides lower bounds for the number of true discoveries in any selected subset of hypotheses. These bounds are simultaneously…

Applications · Statistics 2023-01-30 Angela Andreella , Jesse Hemerik , Wouter Weeda , Livio Finos , Jelle Goeman

The hypothesis of randomness is fundamental in statistical machine learning and in many areas of nonparametric statistics; it says that the observations are assumed to be independent and coming from the same unknown probability…

Probability · Mathematics 2022-02-08 Vladimir Vovk

Measuring the effect of peers on individuals' outcomes is a challenging problem, in part because individuals often select peers who are similar in both observable and unobservable ways. Group formation experiments avoid this problem by…

Methodology · Statistics 2023-03-09 Guillaume Basse , Peng Ding , Avi Feller , Panos Toulis

Conventional Monte Carlo simulations are stochastic in the sense that the acceptance of a trial move is decided by comparing a computed acceptance probability with a random number, uniformly distributed between 0 and 1. Here we consider the…

Statistical Mechanics · Physics 2018-05-24 Daan Frenkel , K. Julian Schrenk , Stefano Martiniani

Conditional Monte Carlo refers to sampling from the conditional distribution of a random vector X given the value T(X) = t for a function T(X). Classical conditional Monte Carlo methods were designed for estimating conditional expectations…

Methodology · Statistics 2020-10-15 Bo Henry Lindqvist , Rasmus Erlemann , Gunnar Taraldsen

We introduce and illustrate a number of performance measures for rare-event sampling methods. These measures are designed to be of use in a variety of expanded ensemble techniques including parallel tempering as well as infinite and partial…

Statistical Mechanics · Physics 2015-06-23 J. D. Doll , Paul Dupuis

The permutation test is an often used test procedure in brain imaging. Unfortunately, generating every possible permutation for large-scale brain image datasets such as HCP and ADNI with hundreds images is not practical. Many previous…

Computation · Statistics 2019-04-10 Moo K. Chung , Yixian Wang , Shih-Gu Huang , Ilwoo Lyu

The gold standard for identifying causal relationships is a randomized controlled experiment. In many applications in the social sciences and medicine, the researcher does not control the assignment mechanism and instead may rely upon…

Applications · Statistics 2016-11-22 Johann Gagnon-Bartsch , Yotam Shem-Tov

We improve three tests of perfect ranking in ranked set sampling proposed by Li and Balakrishnan (2008) using a permutation approach. This simple way of extending all three concepts to comparisons across different cycles increases the…

Methodology · Statistics 2014-11-19 Ehsan Zamanzade , Nasser Reza Arghami , Michael Vock

The problem of detecting variance breaks in the case of smooth time-varying variance structure is studied. It is highlighted that the tests based on (piecewise) constant specification of the variance are not able to distinguish between…

Methodology · Statistics 2017-07-24 Ben Hajria Raja , Khardani Salah , Raïssi Hamdi

The correlation between a random sequence and its transformed sequences is studied. In the case of a permutation operation or, in other word, the shuffling operation, it is shown that the correlation can be so small that the sequences can…

High Energy Physics - Lattice · Physics 2015-06-25 Nobuyasu Ito , Macoto Kikuchi , Yutaka Okabe

When modeling the distribution of a multivariate continuous random vector using the so-called \emph{copula approach}, it is not uncommon to have ties in the coordinate samples of the available data because of rounding or lack of measurement…

Methodology · Statistics 2017-02-07 Ivan Kojadinovic

Permutation tests enable testing statistical hypotheses in situations when the distribution of the test statistic is complicated or not available. In some situations, the test statistic under investigation is multivariate, with the multiple…

Methodology · Statistics 2023-11-08 Zdeněk Hlávka , Daniel Hlubinka , Šárka Hudecová

The goal of property testing is to quickly distinguish between objects which satisfy a property and objects that are $\epsilon$-far from satisfying the property. There are now several general results in this area which show that natural…

Combinatorics · Mathematics 2018-04-05 Jacob Fox , Fan Wei
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