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There is a fundamental disconnect between what is tested in a model adequacy test, and what we would like to test. The usual approach is to test the null hypothesis "Model M is the true model." However, Model M is never the true model. A…

Methodology · Statistics 2016-08-23 Toby Kenney , Hong Gu

In this paper we discuss how to evaluate the differences between fitted logistic regression models across sub-populations. Our motivating example is in studying computerized diagnosis for learning disabilities, where sub-populations based…

Methodology · Statistics 2023-03-24 Guy Ashiri-Prossner , Yuval Benjamini

Forecasting risk (as measured by quantiles) and systemic risk (as measured by Adrian and Brunnermeiers's (2016) CoVaR) is important in economics and finance. However, past research has shown that predictive relationships may be unstable…

Methodology · Statistics 2026-03-11 Yannick Hoga

This note points out how confidence interval estimates for standard deviation transform into confidence interval estimates for the power of F-tests at fixed alternative means. An application is shown for the test of a two-sided hypothesis…

Statistics Theory · Mathematics 2014-05-13 Ali Akbar Jafari , Abdollreza Bazargan-Lari , Mingfei

We consider a regression model with errors that are a.s. negative. Thus the regression function is not the expected value of the observations but the right endpoint of their support. We develop two goodness-of-fit tests for the hypotheses…

Statistics Theory · Mathematics 2020-10-01 Jürgen Kampf , Alexander Meister

In science and medicine, model interpretations may be reported as discoveries of natural phenomena or used to guide patient treatments. In such high-stakes tasks, false discoveries may lead investigators astray. These applications would…

Machine Learning · Statistics 2020-08-18 Collin Burns , Jesse Thomason , Wesley Tansey

Probabilistic model checking is an approach to the formal modelling and analysis of stochastic systems. Over the past twenty five years, the number of different formalisms and techniques developed in this field has grown considerably, as…

Logic in Computer Science · Computer Science 2025-09-17 Marta Kwiatkowska , Gethin Norman , David Parker

Multiple matrix sampling is a survey methodology technique that randomly chooses a relatively small subset of items to be presented to survey respondents for the purpose of reducing respondent burden. The data produced are missing…

Methodology · Statistics 2017-10-03 Stanislav Kolenikov , Heather Hammer

The application of machine learning based decision making systems in safety critical areas requires reliable high certainty predictions. Reject options are a common way of ensuring a sufficiently high certainty of predictions made by the…

Artificial Intelligence · Computer Science 2022-05-17 André Artelt , Roel Visser , Barbara Hammer

In the current insurance literature, prediction of insurance claims in the regression problem is often performed with a statistical model. This model-based approach may potentially suffer from several drawbacks: (i) model misspecification,…

Machine Learning · Statistics 2025-09-30 Liang Hong

As neural networks become more popular, the need for accompanying uncertainty estimates increases. There are currently two main approaches to test the quality of these estimates. Most methods output a density. They can be compared by…

Machine Learning · Statistics 2024-06-05 Laurens Sluijterman , Eric Cator , Tom Heskes

We introduce a model of probabilistic verification in mechanism design. The principal elicits a message from the agent and then selects a test to give the agent. The agent's true type determines the probability with which he can pass each…

Theoretical Economics · Economics 2025-01-16 Ian Ball , Deniz Kattwinkel

Complex phenomena in engineering and the sciences are often modeled with computationally intensive feed-forward simulations for which a tractable analytic likelihood does not exist. In these cases, it is sometimes necessary to estimate an…

Methodology · Statistics 2020-06-18 Niccolò Dalmasso , Ann B. Lee , Rafael Izbicki , Taylor Pospisil , Ilmun Kim , Chieh-An Lin

We describe a statistical hypothesis test for the presence of a signal based on the likelihood ratio statistic. We derive the test for a case of interest and also show that for that case the test works very well, even far out in the tails…

Data Analysis, Statistics and Probability · Physics 2007-08-29 Wolfgang A. Rolke , Angel M. Lopez

Existing approaches to model uncertainty typically either compare models using a quantitative model selection criterion or evaluate posterior model probabilities having set a prior. In this paper, we propose an alternative strategy which…

Methodology · Statistics 2025-03-26 Vik Shirvaikar , Stephen G. Walker , Chris Holmes

Linear optimization problems are investigated whose parameters are uncertain. We apply coherent distortion risk measures to capture the possible violation of a restriction. Each risk constraint induces an uncertainty set of coefficients,…

Methodology · Statistics 2017-12-18 Karl Mosler , Pavel Bazovkin

Indentation test is used with growing popularity for the characterization of various materials on different scales. Developed methods are combining the test with computer simulation and inverse analyses to assess material parameters…

Computational Physics · Physics 2015-07-14 Vladimir Buljak , Shwetank Pandey

In this paper, we propose an easy-to-implement residual-based specification testing procedure for detecting structural changes in factor models, which is powerful against both smooth and abrupt structural changes with unknown break dates.…

Econometrics · Economics 2025-01-22 Bin Peng , Liangjun Su , Yayi Yan

This paper proposes several tests of restricted specification in nonparametric instrumental regression. Based on series estimators, test statistics are established that allow for tests of the general model against a parametric or…

Econometrics · Economics 2019-09-24 Christoph Breunig

We consider the problem of model building for rare events prediction in longitudinal follow-up studies. In this paper, we compare several resampling methods to improve standard regression models on a real life example. We evaluate the…

Methodology · Statistics 2023-06-21 Pierre Druilhet , Mathieu Berthe , Stéphanie Léger
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