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Widely used methods for analyzing missing data can be biased in small samples. To understand these biases, we evaluate in detail the situation where a small univariate normal sample, with values missing at random, is analyzed using either…

Statistics Theory · Mathematics 2017-03-27 Paul T. von Hippel

We analyze different types of simulations that applied researchers can use to assess whether their inference methods reliably control false-positive rates. We show that different assessments involve trade-offs, varying in the types of…

Econometrics · Economics 2025-10-03 Bruno Ferman

Fault detection is crucial for ensuring the safety and reliability of modern industrial systems. However, a significant scientific challenge is the lack of rigorous risk control and reliable uncertainty quantification in existing diagnostic…

Artificial Intelligence · Computer Science 2025-08-05 Mingchen Mei , Yi Li , YiYao Qian , Zijun Jia

Estimation and inference in dynamic discrete choice models often relies on approximation to lower the computational burden of dynamic programming. Unfortunately, the use of approximation can impart substantial bias in estimation and results…

Econometrics · Economics 2020-10-23 Ben Deaner

Quantifying the concordance between different cosmological experiments is important for testing the validity of theoretical models and systematics in the observations. In earlier work, we thus proposed the Surprise, a concordance measure…

Cosmology and Nongalactic Astrophysics · Physics 2016-05-12 Sebastian Seehars , Sebastian Grandis , Adam Amara , Alexandre Refregier

Recent results have shown that a field non-minimally coupled to the electromagnetic Lagrangian can induce a violation of the Einstein equivalence principle. { This kind of coupling is present in a very wide class of gravitation theories.}…

General Relativity and Quantum Cosmology · Physics 2017-09-27 R. F. L. Holanda , S. H. Pereira , V. C. Busti , C. H. G. Bessa

Handling missing values in training datasets for constructing learning models or extracting useful information is considered to be an important research task in data mining and knowledge discovery in databases. In recent years, lot of…

Databases · Computer Science 2009-04-22 Shariq Bashir , Saad Razzaq , Umer Maqbool , Sonya Tahir , Abdul Rauf Baig

Multiple imputation (MI) inference handles missing data by imputing the missing values $m$ times, and then combining the results from the $m$ complete-data analyses. However, the existing method for combining likelihood ratio tests (LRTs)…

Statistics Theory · Mathematics 2022-01-03 Kin Wai Chan , Xiao-Li Meng

The success of present and future cosmological studies is tied to the ability to detect discrepancies in complex data sets within the framework of a cosmological model. Tensions caused by the presence of unknown systematic effects need to…

Cosmology and Nongalactic Astrophysics · Physics 2019-02-13 Marco Raveri , Wayne Hu

Binary observations are often repeated to improve data quality, creating technical replicates. Several scoring methods are commonly used to infer the actual individual state and obtain a probability for each state. The common practice of…

Methodology · Statistics 2025-01-24 Manuela Royer-Carenzi , Hadrien Lorenzo , Pierre Pudlo

Driven by applications in telecommunication networks, we explore the simulation task of estimating rare event probabilities for tandem queues in their steady state. Existing literature has recognized that importance sampling methods can be…

Machine Learning · Computer Science 2025-04-22 Ruoning Zhao , Xinyun Chen

The radiological characterization of contaminated elements (walls, grounds, objects) from nuclear facilities often suffers from a too small number of measurements. In order to determine risk prediction bounds on the level of contamination,…

Applications · Statistics 2017-05-30 Géraud Blatman , Thibault Delage , Bertrand Iooss , Nadia Pérot

Interpreting experimental data in high school experiments can be a difficult task for students, especially when there is large variation in the data. At the same time, calculating the standard deviation poses a challenge for students. In…

Physics Education · Physics 2022-10-18 Karel Kok , Burkhard Priemer

When combining data sets to perform parameter inference, the results will be unreliable if there are unknown systematics in data or models. Here we introduce a flexible methodology, BACCUS: BAyesian Conservative Constraints and Unknown…

Cosmology and Nongalactic Astrophysics · Physics 2018-07-04 José Luis Bernal , John A. Peacock

Determining the strength of non-linear statistical dependencies between two variables is a crucial matter in many research fields. The established measure for quantifying such relations is the mutual information. However, estimating mutual…

Data Analysis, Statistics and Probability · Physics 2019-07-24 Damián G. Hernández , Inés Samengo

Feature selection has attracted significant attention in data mining and machine learning in the past decades. Many existing feature selection methods eliminate redundancy by measuring pairwise inter-correlation of features, whereas the…

Machine Learning · Computer Science 2015-02-03 Zhijun Chen , Chaozhong Wu , Yishi Zhang , Zhen Huang , Bin Ran , Ming Zhong , Nengchao Lyu

Due to the sheer complexity of the Laser Interferometer Space Antenna (LISA) space mission, data gaps arising from instrumental irregularities and/or scheduled maintenance are unavoidable. Focusing on merger-dominated massive black hole…

General Relativity and Quantum Cosmology · Physics 2025-03-07 Ollie Burke , Sylvain Marsat , Jonathan R. Gair , Michael L. Katz

This paper re-examines the first normalized incomplete moment, a well-established measure of inequality with wide applications in economic and social sciences. Despite the popularity of the measure itself, existing statistical inference…

Methodology · Statistics 2025-08-26 Jiannan Lu , Peng Ding , Anqi Zhao

Classical semiparametric inference with missing outcome data is not robust to contamination of the observed data and a single observation can have arbitrarily large influence on estimation of a parameter of interest. This sensitivity is…

Methodology · Statistics 2021-03-02 Eva Cantoni , Xavier de Luna

Distance correlation is a novel class of multivariate dependence measure, taking positive values between 0 and 1, and applicable to random vectors of arbitrary dimensions, not necessarily equal. It offers several advantages over the…

Computation · Statistics 2024-05-06 Blanca E. Monroy-Castillo , M. A , Jácome , Ricardo Cao