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Statistically-significant differences in the value of the Hubble parameter are found depending on the measurement method that is used, a result known as the Hubble tension. A variety of ways of comparing, grouping, and excluding…

宇宙学与河外天体物理 · 物理学 2025-11-25 Thomas Hughes , Michael J. Wilensky , Philip Bull

We introduce a novel approach called the Bayesian Jackknife empirical likelihood method for analyzing survey data obtained from various unequal probability sampling designs. This method is particularly applicable to parameters described by…

统计方法学 · 统计学 2023-09-14 Mengdong Shang , Xia Chen

This paper introduces a class of jackknife-based test statistics for linear regression models with endogeneity and heteroskedasticity in the presence of many potentially weak instrumental variables. The tests may be used when considering…

计量经济学 · 经济学 2026-04-20 Federico Crudu , Giovanni Mellace , Zsolt Sándor

The redshifted 21-cm signal is a unique probe of the early universe, particularly the Epoch of Reionization (EoR). While the 21-cm power spectrum has been the primary statistic for parameter inference, it fails to capture the non-Gaussian…

宇宙学与河外天体物理 · 物理学 2026-03-03 Anoop Krishna , Deepthi Moorkanat , Hiten , Rajesh Mondal

Compressed sensing proposes to reconstruct more degrees of freedom in a signal than the number of values actually measured. Compressed sensing therefore risks introducing errors -- inserting spurious artifacts or masking the abnormalities…

图像与视频处理 · 电气工程与系统科学 2024-04-09 Mark Tygert , Rachel Ward , Jure Zbontar

Upcoming experiments such as Hydrogen Epoch of Reionization Array (HERA) and Square Kilometre Array (SKA) are intended to measure the 21cm signal over a wide range of redshifts, representing an incredible opportunity in advancing our…

宇宙学与河外天体物理 · 物理学 2020-05-06 Héctor J. Hortúa , Riccardo Volpi , Luigi Malagò

An empirical Bayes approach to the estimation of possibly sparse sequences observed in Gaussian white noise is set out and investigated. The prior considered is a mixture of an atom of probability at zero and a heavy-tailed density \gamma,…

统计理论 · 数学 2007-06-13 Iain M. Johnstone , Bernard W. Silverman

Several experimental efforts are underway to measure the power spectrum of 21cm fluctuations from the Epoch of Reionization (EoR) using low-frequency radio interferometers. Experiments like the Hydrogen Epoch of Reionization Array (HERA)…

天体物理仪器与方法 · 物理学 2019-06-19 Adam E. Lanman , Jonathan C. Pober

Linear instrumental variable regressions are widely used to estimate causal effects. Many instruments arise from the use of ``technical'' instruments and more recently from the empirical strategy of ``judge design''. This paper surveys and…

计量经济学 · 经济学 2024-01-26 Anna Mikusheva , Liyang Sun

We consider a linear combination of jackknife Anderson-Rubin (AR), jackknife Lagrangian multiplier (LM), and orthogonalized jackknife LM tests for inference in IV regressions with many weak instruments and heteroskedasticity. Following…

计量经济学 · 经济学 2023-04-21 Dennis Lim , Wenjie Wang , Yichong Zhang

Basket trials examine the efficacy of an intervention in multiple patient subgroups simultaneously. The division into subgroups, called baskets, is based on matching medical characteristics, which may result in small sample sizes within…

统计方法学 · 统计学 2024-09-17 Sabrina Schmitt , Lukas Baumann

We develop a concept of weak identification in linear IV models in which the number of instruments can grow at the same rate or slower than the sample size. We propose a jackknifed version of the classical weak identification-robust…

计量经济学 · 经济学 2021-10-06 Anna Mikusheva , Liyang Sun

We use the Fisher matrix formalism and semi-numerical simulations to derive quantitative predictions of the constraints that power spectrum measurements on next-generation interferometers, such as the Hydrogen Epoch of Reionization Array…

宇宙学与河外天体物理 · 物理学 2016-04-26 Aaron Ewall-Wice , Jacqueline Hewitt , Andrei Mesinger , Joshua S. Dillon , Adrian Liu , Jonathan Pober

Observations with radio arrays that target the 21-cm signal originating from the early Universe suffer from a variety of systematic effects. An important class of these are reflections and spurious couplings between antennas. We apply a…

Precise measurements of the 21 cm power spectrum are crucial for understanding the physical processes of hydrogen reionization. Currently, this probe is being pursued by low-frequency radio interferometer arrays. As these experiments come…

We propose the so-called jackknife empirical likelihood approach for the survey data of general unequal probability sampling designs, and analyze parameters defined according to U-statistics. We prove theoretically that jackknife…

统计方法学 · 统计学 2023-03-28 Mengdong Shang , Xia Chen

Bias correction can often improve the finite sample performance of estimators. We show that the choice of bias correction method has no effect on the higher-order variance of semiparametrically efficient parametric estimators, so long as…

计量经济学 · 经济学 2024-01-29 Jinyong Hahn , David W. Hughes , Guido Kuersteiner , Whitney K. Newey

Heavy-tailed distributions, such as the Cauchy distribution, are acknowledged for providing more accurate models for financial returns, as the normal distribution is deemed insufficient for capturing the significant fluctuations observed in…

统计理论 · 数学 2025-07-31 Ganesh Vishnu Avhad , Ananya Lahiri , Sudheesh K. Kattumannil

The delimitation of biological species, i.e., deciding which individuals belong to the same species and whether and how many different species are represented in a data set, is key to the conservation of biodiversity. Much existing work…

种群与进化 · 定量生物学 2025-12-15 Gabriele d'Angella , Christian Hennig

Modern statistical analysis often encounters datasets with large sizes. For these datasets, conventional estimation methods can hardly be used immediately because practitioners often suffer from limited computational resources. In most…

统计方法学 · 统计学 2023-04-14 Shuyuan Wu , Xuening Zhu , Hansheng Wang
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