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Estimation of a treatment effect by a regression discontinuity design faces a severe challenge when the running variable contains measurement errors since the errors smoothen the discontinuity on which the identification depends. The…

Methodology · Statistics 2019-09-24 Kota Mori

The article considers parameter estimation constructing such as quasi-maximum likelyhood estimation and one step estimation in statistical models generated by solution of stochastic differential equation. It has been developed a software…

Statistics Theory · Mathematics 2021-03-12 Dmytro Ivanenko , Rostyslav Pogorielov

For a sample of absolutely bounded i.i.d. random variables with a continuous density the cumulative distribution function of the sample variance is represented by a univariate integral over a Fourier series. If the density is a polynomial…

Statistics Theory · Mathematics 2008-10-10 T. Royen

Cross-validation under sample selection bias can, in principle, be done by importance-weighting the empirical risk. However, the importance-weighted risk estimator produces sub-optimal hyperparameter estimates in problem settings where…

Machine Learning · Computer Science 2019-08-28 Wouter M. Kouw , Jesse H. Krijthe , Marco Loog

Propensity score matching is commonly used to draw causal inference from observational survival data. However, its asymptotic properties have yet to be established, and variance estimation is still open to debate. We derive the statistical…

Methodology · Statistics 2024-12-24 Tongrong Wang , Honghe Zhao , Shu Yang , Shuhan Tang , Zhanglin Cui , Li Li , Douglas E. Faries

A method to obtain particle sizes from images that are used for particle tracking velocimetry is proposed. This is an open source method, developed to use together with the open source software OpenPTV. First, the analysis of different…

Fluid Dynamics · Physics 2022-03-25 R. G. Ramirez de la Torre , Atle Jensen

We establish necessary and sufficient conditions for consistency of estimators of mixing distribution in linear latent structure analysis.

Statistics Theory · Mathematics 2007-06-13 Mikhail Kovtun , Anatoliy Yashin , Igor Akushevich

Machine Learning tools are nowadays widely applied extensively to the prediction of the properties of molecular materials, using datasets extracted from high-throughput computational models. In several cases of scientific and technological…

Materials Science · Physics 2021-02-10 Fabio Le Piane , Matteo Baldoni , Francesco Mercuri

Many tools and techniques measure local structure in materials in contexts ranging from biology to geology. We provide a survey of those tools and metrics that are especially useful for analyzing particulate soft matter. The metrics we…

Soft Condensed Matter · Physics 2026-01-13 Rachael S. Skye , Erin G. Teich

For high volume data streams and large data warehouses, sampling is used for efficient approximate answers to aggregate queries over selected subsets. Mathematically, we are dealing with a set of weighted items and want to support queries…

Data Structures and Algorithms · Computer Science 2007-05-23 Mario Szegedy , Mikkel Thorup

Accurate density estimation methodologies play an integral role in a variety of scientific disciplines, with applications including simulation models, decision support tools, and exploratory data analysis. In the past, histograms and kernel…

Statistics Theory · Mathematics 2012-06-14 Judson B. Locke , Adrian M. Peter

The robust estimator presented in this paper processes each structure independently. The scales of the structures are estimated adaptively and no threshold is involved in spite of different objective functions. The user has to specify only…

Computer Vision and Pattern Recognition · Computer Science 2017-04-21 Xiang Yang , Peter Meer

The estimated accuracy of a classifier is a random quantity with variability. A common practice in supervised machine learning, is thus to test if the estimated accuracy is significantly better than chance level. This method of signal…

Methodology · Statistics 2020-01-28 Jonathan D. Rosenblatt , Yuval Benjamini , Roee Gilron , Roy Mukamel , Jelle J. Goeman

A measure of primal importance for capturing the serial dependence of a stationary time series at extreme levels is provided by the limiting cluster size distribution. New estimators based on a blocks declustering scheme are proposed and…

Statistics Theory · Mathematics 2020-11-11 Axel Bücher , Tobias Jennessen

We consider quantile estimation using Markov chain Monte Carlo and establish conditions under which the sampling distribution of the Monte Carlo error is approximately Normal. Further, we investigate techniques to estimate the associated…

Statistics Theory · Mathematics 2018-04-20 Charles Doss , James M. Flegal , Galin L. Jones , Ronald C. Neath

If the prior probability distributions of all possible hypothetical true means and all possible observed means of a continuous variable are conditional on the universal set of all numbers (i.e., before the nature of a study is known and a…

Methodology · Statistics 2025-06-05 Huw Llewelyn

We consider the problem of estimating the density $\Pi$ of a determinantal process $N$ from the observation of $n$ independent copies of it. We use an aggregation procedure based on robust testing to build our estimator. We establish…

Statistics Theory · Mathematics 2013-03-15 Yannick Baraud

Variation principle has been developed to calculate many-particle effects in crystals. Within the framework of quasi-particle concept the variation principle has been used to find one-electron states with taking into account of effects due…

Quantum Physics · Physics 2007-05-23 Halina V. Grushevskaya , Leonid I. Gurskii

The missing mass refers to the probability of elements not observed in a sample, and since the work of Good and Turing during WWII, has been studied extensively in many areas including ecology, linguistic, networks and information theory.…

Information Theory · Computer Science 2021-04-16 Maciej Skorski

Variational inference approximates the posterior distribution of a probabilistic model with a parameterized density by maximizing a lower bound for the model evidence. Modern solutions fit a flexible approximation with stochastic gradient…

Machine Learning · Statistics 2017-07-13 Joseph Sakaya , Arto Klami
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