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A central statistical goal is to choose between alternative explanatory models of data. In many modern applications, such as population genetics, it is not possible to apply standard methods based on evaluating the likelihood functions of…

统计计算 · 统计学 2013-02-25 Dennis Prangle , Paul Fearnhead , Murray P. Cox , Patrick J. Biggs , Nigel P. French

Parametric inference posits a statistical model that is a specified family of probability distributions. Restricted inference, e.g., restricted likelihood ratio testing, attempts to exploit the structure of a statistical submodel that is a…

统计理论 · 数学 2019-03-22 Michael W. Trosset , Carey E. Priebe

The Receiver Operating Characteristic (ROC) curve of a binary classifier has often been utilized to measure the performance of the classifier. The area beneath this curve is used in particular because of its quoted probabilistic…

机器学习 · 计算机科学 2026-05-05 Steven Redolfi

Complex scientific models where the likelihood cannot be evaluated present a challenge for statistical inference. Over the past two decades, a wide range of algorithms have been proposed for learning parameters in computationally feasible…

统计计算 · 统计学 2021-12-16 Aden Forrow , Ruth E. Baker

Single-arm studies in the early development phases of new treatments are not uncommon in the context of rare diseases or in paediatrics. If an assessment of efficacy is to be made at the end of such a study, the observed endpoints can be…

统计方法学 · 统计学 2026-03-02 Moritz Fabian Danzer , Rene Schmidt

Nonprobability (convenience) samples are increasingly sought to stabilize estimations for one or more population variables of interest that are performed using a randomized survey (reference) sample by increasing the effective sample size.…

Personalized decision-making, aiming to derive optimal treatment regimes based on individual characteristics, has recently attracted increasing attention in many fields, such as medicine, social services, and economics. Current literature…

统计方法学 · 统计学 2023-02-28 Jianing Chu , Wenbin Lu , Shu Yang

Multiple diagnostic tests are frequently used to determine the presence of a disease condition in patients. In this paper, we use bivariate copulas to examine the properties of receiver operating characteristic (ROC) curves formed when two…

We propose a monitoring strategy for efficient and robust estimation of disease prevalence and case numbers within closed and enumerated populations such as schools, workplaces, or retirement communities. The proposed design relies largely…

统计方法学 · 统计学 2024-04-22 Robert H. Lyles , Yuzi Zhang , Lin Ge , Lance A. Waller

Optimal performance is critical for decision-making tasks from medicine to autonomous driving, however common performance measures may be too general or too specific. For binary classifiers, diagnostic tests or prognosis at a timepoint,…

Prediction models for clinical outcomes may be developed using a source dataset and additionally applied to new settings. Towards model external validation and model updating in the new setting, one procedure is model modification learning…

统计方法学 · 统计学 2020-12-01 W Katherine Tan , Patrick J Heagerty

Synthetic likelihood (SL) is a strategy for parameter inference when the likelihood function is analytically or computationally intractable. In SL, the likelihood function of the data is replaced by a multivariate Gaussian density over…

统计方法学 · 统计学 2022-02-21 Umberto Picchini , Umberto Simola , Jukka Corander

In this paper, in order to test whether changes have occurred in a nonlinear parametric regression, we propose a nonparametric method based on the empirical likelihood. Firstly, we test the null hypothesis of no-change against the…

统计理论 · 数学 2014-05-22 Gabriela Ciuperca , Zahraa Salloum

Bayesian inference with Markov Chain Monte Carlo (MCMC) is challenging when the likelihood function is irregular and expensive to compute. We explore several sampling algorithms that make use of subset evaluations to reduce computational…

机器学习 · 统计学 2025-05-16 Conor Rosato , Harvinder Lehal , Simon Maskell , Lee Devlin , Malcolm Strens

Predictive models for clinical outcomes that are accurate on average in a patient population may underperform drastically for some subpopulations, potentially introducing or reinforcing inequities in care access and quality. Model training…

机器学习 · 统计学 2022-02-03 Stephen R. Pfohl , Haoran Zhang , Yizhe Xu , Agata Foryciarz , Marzyeh Ghassemi , Nigam H. Shah

We study statistical inference and distributionally robust solution methods for stochastic optimization problems, focusing on confidence intervals for optimal values and solutions that achieve exact coverage asymptotically. We develop a…

机器学习 · 统计学 2018-07-03 John Duchi , Peter Glynn , Hongseok Namkoong

Background: Clinical prediction models are increasingly used to inform healthcare decisions, but determining the minimum sample size for their development remains a critical and unresolved challenge. Inadequate sample sizes can lead to…

The predictions from an accurate prognostic model can be of great interest to patients and clinicians. When predictions are reported to individuals, they may decide to take action to improve their health or they may simply be comforted by…

定量方法 · 定量生物学 2019-09-10 Michael C Sachs , Arvid Sjölander , Erin E Gabriel

To evaluate a classification algorithm, it is common practice to plot the ROC curve using test data. However, the inherent randomness in the test data can undermine our confidence in the conclusions drawn from the ROC curve, necessitating…

统计方法学 · 统计学 2024-05-22 Zheshi Zheng , Bo Yang , Peter Song

The receiver operating characteristic (ROC) curve, the positive predictive value (PPV) curve and the negative predictive value (NPV) curve are three measures of performance for a continuous diagnostic biomarker. The ROC, PPV and NPV curves…

统计理论 · 数学 2012-03-15 Joseph S. Koopmeiners , Ziding Feng