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The bootstrap is a technique recently developed to get energy eigenvalues of bound states and correlation functions. There are three crucial steps - recursive equations, positivity constraints, search space. We calculate recursive equations…

量子物理 · 物理学 2022-09-20 Xihe Hu

For modeling the serial dependence in time series of counts, various approaches have been proposed in the literature. In particular, models based on a recursive, autoregressive-type structure such as the well-known integer-valued…

统计方法学 · 统计学 2025-07-16 Maxime Faymonville , Carsten Jentsch

Network models are applied in numerous domains where data can be represented as a system of interactions among pairs of actors. While both statistical and mechanistic network models are increasingly capable of capturing various dependencies…

统计方法学 · 统计学 2018-07-02 Sixing Chen , Jukka-Pekka Onnela

Radio interferometry is an observational technique used to study astrophysical phenomena. Data gathered by an interferometer requires substantial processing before astronomers can extract the scientific information from it. Data processing…

天体物理仪器与方法 · 物理学 2024-12-24 Brian M. Kirk , Urvashi Rau , Ramyaa Ramyaa

Robust optimization provides a principled framework for decision-making under uncertainty, with broad applications in finance, engineering, and operations research. In portfolio optimization, uncertainty in expected returns and covariances…

统计金融 · 定量金融 2025-10-15 Daniel Cunha Oliveira , Grover Guzman , Nick Firoozye

Computational capability often falls short when confronted with massive data, posing a common challenge in establishing a statistical model or statistical inference method dealing with big data. While subsampling techniques have been…

统计方法学 · 统计学 2024-10-31 Yixiao Ruan , Zan Li , Zhaohui Li , Dennis K. J. Lin , Qingpei Hu , Dan Yu

We present a novel Bayesian model and a corresponding robust, probabilistic calibration procedure for the CORSAIR polarimeter that can be applied to other polarimeters. Our calibration procedure combines existing Mueller matrix…

太阳与恒星天体物理 · 物理学 2026-05-28 Alan Hsu , Jenna Samra , Steven Tomczyk , Maxim Kramar

We develop and apply two calibration procedures for checking the coverage of approximate Bayesian credible sets including intervals estimated using Monte Carlo methods. The user has an ideal prior and likelihood, but generates a credible…

统计计算 · 统计学 2026-05-19 Jeong Eun Lee , Geoff K. Nicholls , Robin J. Ryder

We consider the properties of the bootstrap as a tool for inference concerning the eigenvalues of a sample covariance matrix computed from an $n\times p$ data matrix $X$. We focus on the modern framework where $p/n$ is not close to 0 but…

统计方法学 · 统计学 2016-08-03 Noureddine El Karoui , Elizabeth Purdom

This manual is intended to help ALMA and other interferometer users improve images by recognising limitations and how to overcome them and deciding when and how to use self-calibration. The images provided by the ALMA Science Archive are…

天体物理仪器与方法 · 物理学 2022-07-13 A. M. S. Richards , E. Moravec , S. Etoka , E. B. Fomalont , A. F. Pérez-Sánchez , M. C. Toribio , R. A. Laing

Fitting sparse models to high-dimensional time series is an important area of statistical inference. In this paper we consider sparse vector autoregressive models and develop appropriate bootstrap methods to infer properties of such…

统计方法学 · 统计学 2019-09-25 J. Krampe , J-P. Kreiss , E. Paparoditis

Fourier transform infrared nanospectroscopy (nano-FTIR) is a novel, increasingly adopted characterization method that leverages decades of established knowledge in infrared spectroscopy at the nanoscale. It opens up new possibilities in the…

光学 · 物理学 2026-05-21 Gergely Nemeth , Ferenc Borondics

We propose a simple modification to the wild bootstrap procedure and establish its asymptotic validity for linear regression models with many covariates and heteroskedastic errors. Monte Carlo simulations show that the modified wild…

计量经济学 · 经济学 2025-06-27 Wenze Li

Eigenspaces of covariance matrices play an important role in statistical machine learning, arising in variety of modern algorithms. Quantitatively, it is convenient to describe the eigenspaces in terms of spectral projectors. This work…

统计理论 · 数学 2020-02-25 Igor Silin , Jianqing Fan

A new computation method of frequentist $p$-values and Bayesian posterior probabilities based on the bootstrap probability is discussed for the multivariate normal model with unknown expectation parameter vector. The null hypothesis is…

统计方法学 · 统计学 2013-12-24 Hidetoshi Shimodaira

This paper proposes parametric and non-parametric hypothesis testing algorithms for detecting anisotropy -- rotational variance of the covariance function in random fields. Both algorithms are based on resampling mechanisms, which enable…

统计方法学 · 统计学 2021-06-08 Assaf Rabinowicz , Saharon Rosset

Multiple systems estimation using a Poisson loglinear model is a standard approach to quantifying hidden populations where data sources are based on lists of known cases. Information criteria are often used for selecting between the large…

统计方法学 · 统计学 2023-11-23 Bernard W. Silverman , Lax Chan , Kyle Vincent

Bootstrap methods for estimating the long-run covariance of stationary functional time series are considered. We introduce a versatile bootstrap method that relies on functional principal component analysis, where principal component scores…

统计计算 · 统计学 2016-10-05 Han Lin Shang

Existing frequency domain methods for bootstrapping time series have a limited range. Consider for instance the class of spectral mean statistics (also called integrated periodograms) which includes many important statistics in time series…

统计方法学 · 统计学 2018-06-19 Marco Meyer , Efstathios Paparoditis , Jens-Peter Kreiss

The paper studies a problem of constructing simultaneous likelihood-based confidence sets. We consider a simultaneous multiplier bootstrap procedure for estimating the quantiles of the joint distribution of the likelihood ratio statistics,…

统计理论 · 数学 2015-06-19 Mayya Zhilova