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Split sample methods have recently been put forward as a way to reduce the coverage oscillations that haunt confidence intervals for parameters of lattice distributions, such as the binomial and Poisson distributions. We study split sample…

Methodology · Statistics 2015-03-11 Måns Thulin

We propose a novel regression adjustment method designed for estimating distributional treatment effect parameters in randomized experiments. Randomized experiments have been extensively used to estimate treatment effects in various…

Econometrics · Economics 2024-07-24 Undral Byambadalai , Tatsushi Oka , Shota Yasui

We consider the problem of detecting a `bump' in the intensity of a Poisson process or in a density. We analyze two types of likelihood ratio based statistics which allow for exact finite sample inference and asymptotically optimal…

Methodology · Statistics 2014-02-26 Camilo Rivera , Guenther Walther

The truncation and approximation errors for the set of numerical solutions computed by methods based on the algorithms of different structure are calculated and analyzed for the case of the two-dimensional steady inviscid compressible flow.…

Numerical Analysis · Mathematics 2020-05-14 A. K. Alekseev , A. E. Bondarev

The problem of estimating the support of a distribution is of great importance in many areas of machine learning, computer science, physics and biology. Most of the existing work in this domain has focused on settings that assume perfectly…

Machine Learning · Statistics 2020-06-16 Eli Chien , Olgica Milenkovic , Angelia Nedich

Comparisons of different treatments or production processes are the goals of a significant fraction of applied research. Unsurprisingly, two-sample problems play a main role in Statistics through natural questions such as `Is the the new…

Methodology · Statistics 2017-09-05 P. C. Álvarez-Esteban , E. del Barrio , J. A. Cuesta-Albertos , C. Matrán

Rigorous assessment of uncertainty is crucial to the utility of DNS results. Uncertainties in the computed statistics arise from two sources: finite statistical sampling and the discretization of the Navier-Stokes equations. Due to the…

Fluid Dynamics · Physics 2015-06-17 Todd A. Oliver , Nicholas Malaya , Rhys Ulerich , Robert D. Moser

We consider estimation of the structural distribution function of the cell probabilities of a multinomial sample in situations where the number of cells is large. We review the performance of the natural estimator, an estimator based on…

Statistics Theory · Mathematics 2007-06-13 B. van Es , C. A. J. Klaassen , R. M. Mnatsakanov

In this paper, we develop a computational approach for estimating the mean value of a quantity in the presence of uncertainty. We demonstrate that, under some mild assumptions, the upper and lower bounds of the mean value are efficiently…

Statistics Theory · Mathematics 2013-11-05 Xinjia Chen

In high energy physics, a widely used method to treat systematic uncertainties in confidence interval calculations is based on combining a frequentist construction of confidence belts with a Bayesian treatment of systematic uncertainties.…

Data Analysis, Statistics and Probability · Physics 2009-11-10 Fredrik Tegenfeldt , Jan Conrad

In the stochastic frontier model, the composed error term consists of the measurement error and the inefficiency term. A general assumption is that the inefficiency term follows a truncated normal or exponential distribution. In a wide…

Methodology · Statistics 2020-06-08 Rouven Schmidt , Thomas Kneib

Statistical samples, in order to be representative, have to be drawn from a population in a random and unbiased way. Nevertheless, it is common practice in the field of model-based diagnosis to make estimations from (biased) best-first…

Artificial Intelligence · Computer Science 2022-08-05 Patrick Rodler , Fatima Elichanova

The problem of error density estimation for a functional single index model with dependent errors is studied. A Bayesian method is utilized to simultaneously estimate the bandwidths in the kernel-form error density and regression function,…

Applications · Statistics 2018-10-23 Han Lin Shang

We first review existing sequential methods for estimating a binomial proportion. Afterward, we propose a new family of group sequential sampling schemes for estimating a binomial proportion with prescribed margin of error and confidence…

Statistics Theory · Mathematics 2013-11-05 Zhengjia Chen , Xinjia Chen

Binomial data with unknown sizes often appear in biological and medical sciences. The previous methods either use the Poisson approximation or the quasi-likelihood approach. A full likelihood approach is proposed by treating unknown sizes…

Statistics Theory · Mathematics 2007-06-13 Wei Zhang

We overview a series of recent works addressing numerical simulations of partial differential equations in the presence of some elements of randomness. The specific equations manipulated are linear elliptic, and arise in the context of…

Numerical Analysis · Mathematics 2016-04-19 Claude Le Bris , Frederic Legoll

Bayesian approaches for handling covariate measurement error are well established, and yet arguably are still relatively little used by researchers. For some this is likely due to unfamiliarity or disagreement with the Bayesian inferential…

Methodology · Statistics 2017-08-01 Jonathan W. Bartlett , Ruth H. Keogh

Randomized controlled trials generate experimental variation that can credibly identify causal effects, but often suffer from limited scale, while observational datasets are large, but often violate desired identification assumptions. To…

Econometrics · Economics 2023-12-27 George Z. Gui

We compare failure distributions of quantum error correction circuits for stochastic errors and coherent errors. We utilize a fully coherent simulation of a fault tolerant quantum error correcting circuit for a $d=3$ Steane and surface…

Quantum Physics · Physics 2017-07-17 Jeff P. Barnes , Colin J. Trout , Dennis G. Lucarelli , B. D. Clader

A new method for including systematic errors in the regression with Poisson data is reviewed in this contribution, with emphasis on applications to astronomical spectra. The method consists of generalizing the usual Poisson log-likelihood,…

Instrumentation and Methods for Astrophysics · Physics 2026-04-23 M. Bonamente