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We discuss the development of reliability acceptance sampling plans under progressive Type-I interval censoring schemes in the presence of competing causes of failure. We consider a general framework to accommodate the presence of…

Applications · Statistics 2025-01-22 Rathin Das , Soumya Roy , Biswabrata Pradhan

We address causal estimation in semi-competing risks settings, where a non-terminal event may be precluded by one or more terminal events. We define a principal-stratification causal estimand for treatment effects on the non-terminal event,…

Methodology · Statistics 2025-06-27 Karina Gelis-Cadena , Michael Daniels , Juned Siddique

Micro-randomized trials are commonly conducted for optimizing mobile health interventions such as push notifications for behavior change. In analyzing such trials, causal excursion effects are often of primary interest, and their estimation…

Methodology · Statistics 2024-08-19 Yihan Bao , Lauren Bell , Elizabeth Williamson , Claire Garnett , Tianchen Qian

Consider an insurance company exposed to a stochastic economic environment that contains two kinds of risk. The first kind is the insurance risk caused by traditional insurance claims, and the second kind is the financial risk resulting…

Statistics Theory · Mathematics 2015-07-29 Jinzhu Li , Qihe Tang

The generalization performance of a risk prediction model can be evaluated by its calibration, which measures the agreement between predicted and observed outcomes on external validation data. Here, methods for assessing the calibration of…

Methodology · Statistics 2020-01-31 Moritz Berger , Matthias Schmid

In randomized controlled trials (RCTs) that focus on time-to-event outcomes, intercurrent events can arise in two ways: as semi-competing events, which modify the hazard of the primary outcome events, or as competing events, which make the…

Methodology · Statistics 2026-05-26 Yuhao Deng , Shasha Han , Xiao-Hua Zhou

I propose a finite sample inference procedure that uses a likelihood function derived from the randomization process within an experiment to conduct inference on various quantities that capture heterogeneous intervention effects. One such…

Methodology · Statistics 2020-09-03 Amanda Kowalski

The moments of random variables are fundamental statistical measures for characterizing the shape of a probability distribution, encompassing metrics such as mean, variance, skewness, and kurtosis. Additionally, the product moments,…

Methodology · Statistics 2025-05-09 Yuta Kawakami , Jin Tian

Fractional-order SIR models have become increasingly popular in the literature in recent years, however unlike the standard SIR model, they often lack a derivation from an underlying stochastic process. Here we derive a fractional-order…

Populations and Evolution · Quantitative Biology 2016-03-31 Christopher N Angstmann , Bruce I Henry , Anna V McGann

Epidemics are inherently stochastic, and stochastic models provide an appropriate way to describe and analyse such phenomena. Given temporal incidence data consisting of, for example, the number of new infections or removals in a given time…

Methodology · Statistics 2024-05-24 Sam A. Whitaker , Andrew Golightly , Colin S. Gillespie , Theodore Kypraios

Cyber risk classifications are widely used in the modeling of cyber event distributions, yet their effectiveness in out of sample forecasting performance remains underexplored. In this paper, we analyse the most commonly used…

Cryptography and Security · Computer Science 2024-10-10 Matteo Malavasi , Gareth W. Peters , Stefan Treuck , Pavel V. Shevchenko , Jiwook Jang , Georgy Sofronov

Following the wide-spread adoption of machine learning models in real-world applications, the phenomenon of performativity, i.e. model-dependent shifts in the test distribution, becomes increasingly prevalent. Unfortunately, since models…

Machine Learning · Statistics 2026-01-21 Ivan Kirev , Lyuben Baltadzhiev , Nikola Konstantinov

Consider the problem of determining the effect of a compound on a specific cell type. To answer this question, researchers traditionally need to run an experiment applying the drug of interest to that cell type. This approach is not…

Methodology · Statistics 2023-06-13 Chandler Squires , Dennis Shen , Anish Agarwal , Devavrat Shah , Caroline Uhler

During the COVID pandemic, periods of exponential growth of the disease have been mitigated by containment measures that in different occasions have resulted in a power-law growth of the number of cases. The first observation of such…

Physics and Society · Physics 2022-05-24 Hanlin Sun , Ivan Kryven , Ginestra Bianconi

A competitive learning model was introduced in Ref. 1 (A. Mehta and J. M. Luck, Phys. Rev. E 60, 5, 1999), in which the learning is outcome-related. Every individual chooses between a pair of existing strategies or types, guided by a…

Adaptation and Self-Organizing Systems · Physics 2011-07-11 Gaurang Mahajan , Anita Mehta

We address the statistical estimation of composite functionals which may be nonlinear in the probability measure. Our study is motivated by the need to estimate coherent measures of risk, which become increasingly popular in finance,…

Statistics Theory · Mathematics 2015-04-13 Darinka Dentcheva , Spiridon Penev , Andrzej Ruszczynski

Probabilistic forecasts in the form of probability distributions over future events have become popular in several fields of statistical science. The dissimilarity between a probability forecast and an outcome is measured by a loss function…

Machine Learning · Computer Science 2020-01-27 Vladimir V'yugin , Vladimir Trunov

First, we analyze the variance of the Cross Validation (CV)-based estimators used for estimating the performance of classification rules. Second, we propose a novel estimator to estimate this variance using the Influence Function (IF)…

Machine Learning · Statistics 2021-11-10 Waleed A. Yousef

Deterrence coalitions that collectively own their deterrence technology, need an institutional design to decide when to retaliate against an attack or incident. This choice of institutional design, formalized through a social choice…

Optimization and Control · Mathematics 2026-04-10 Torgeir Aambø

Case-control studies are designed towards studying associations between risk factors and a single, primary outcome. Information about additional, secondary outcomes is also collected, but association studies targeting such secondary…

Methodology · Statistics 2014-07-17 Tamar Sofer , Marilyn C. Cornelis , Peter Kraft , Eric J. Tchetgen Tchetgen