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We consider a new criterion-based approach to model selection in linear regression. Properties of selection criteria based on p-values of a likelihood ratio statistic are studied for families of linear regression models. We prove that such…

Statistics Theory · Mathematics 2012-05-21 Piotr Pokarowski , Jan Mielniczuk , Paweł Teisseyre

Claeskens and Hjort (2003) constructed the focused information criterion (FIC) and developed frequentist model averaging methods using maximum likelihood estimators assuming the observations to be independent and identically distributed.…

Statistics Theory · Mathematics 2018-07-24 S. C. Pandhare , T. V. Ramanathan

This paper examines the limit properties of information criteria (such as AIC, BIC, HQIC) for distinguishing between the unit root model and the various kinds of explosive models. The explosive models include the local-to-unit-root model,…

Statistics Theory · Mathematics 2021-07-22 Yubo Tao , Jun Yu

Information criteria are an appropriate and widely used tool for solving model selection problems. However, different ways to use them exist, each leading to a more or less precise approximation of the sought model. In this paper, we mainly…

Statistics Theory · Mathematics 2007-06-13 Guilhem Coq , Olivier Alata , Marc Arnaudon , Christian Olivier

Spatial regression models have a variety of applications in several fields ranging from economics to public health. Typically, it is of interest to select important exogenous predictors of the spatially autocorrelated response variable. In…

Methodology · Statistics 2025-10-31 Sagar Pandhare , Divya Kappara , Siuli Mukhopadhyay

We propose a new method for training iterative collective classifiers for labeling nodes in network data. The iterative classification algorithm (ICA) is a canonical method for incorporating relational information into classification. Yet,…

Machine Learning · Computer Science 2017-03-21 Shuangfei Fan , Bert Huang

Modern information retrieval systems, including web search, ads placement, and recommender systems, typically rely on learning from user feedback. Click models, which study how users interact with a ranked list of items, provide a useful…

Information Retrieval · Computer Science 2021-04-20 Xinyi Dai , Jianghao Lin , Weinan Zhang , Shuai Li , Weiwen Liu , Ruiming Tang , Xiuqiang He , Jianye Hao , Jun Wang , Yong Yu

Association between categorical variables in contingency tables is analyzed using the information identities based on multivariate multinomial distributions. A scheme of geometric decompositions of the information identities is developed to…

Methodology · Statistics 2018-04-10 Philip E. Cheng , Jiun-Wei Liou , Hung-Wen Kao , Michelle Liou

We emphasize that it is possible to improve the principle of unbiased risk estimation for model selection by addressing excess risk deviations in the design of penalization procedures. Indeed, we propose a modification of Akaike's…

Statistics Theory · Mathematics 2018-07-23 Adrien Saumard , Fabien Navarro

ICU mortality scoring systems attempt to predict patient mortality using predictive models with various clinical predictors. Examples of such systems are APACHE, SAPS and MPM. However, most such scoring systems do not actively look for and…

Neural and Evolutionary Computing · Computer Science 2016-04-25 Chee Chun Gan , Gerard Learmonth

We present a model selection framework for the extraction of the CKM matrix element $|V_{cb}|$ from exclusive $B \to D^* l \nu$ decays. By framing the truncation of the Boyd-Grinstein-Lebed (BGL) parameterization as a model selection task,…

High Energy Physics - Phenomenology · Physics 2024-12-11 Eric Persson , Florian Bernlochner

Motivation: Spontaneous adverse event reports have a high potential for detecting adverse drug reactions. However, due to their dimension, exploring such databases requires statistical methods. In this context, disproportionality measures…

Applications · Statistics 2015-06-19 Matthieu Marbac , Pascale Tubert-Bitter , Mohammed Sedki

The widely applicable Bayesian information criterion (WBIC) is a simple and fast approximation to the model evidence that has received little practical consideration. WBIC uses the fact that the log evidence can be written as an…

Methodology · Statistics 2016-04-29 N. Friel , J. P. McKeone , C. J. Oates , A. N. Pettitt

To determine the exact shape of the luminosity function (LF) of galaxies is one of the central problems in galactic astronomy and observational cosmology. The most popular method to estimate the LF is maximum likelihood, which is clearly…

Astrophysics · Physics 2009-10-31 Tsutomu T. Takeuchi

Discovering causal relationships requires controlled experiments, but experimentalists face a sequential decision problem: each intervention reveals information that should inform what to try next. Traditional approaches such as random…

Machine Learning · Computer Science 2026-02-03 Patrick Cooper , Alvaro Velasquez

We investigate the issue of post-selection inference for a fixed and a mixed parameter in a linear mixed model using a conditional Akaike information criterion as a model selection procedure. Within the framework of linear mixed models we…

Methodology · Statistics 2021-09-24 Gerda Claeskens , Katarzyna Reluga , Stefan Sperlich

More adaptive controllers for robot manipulators are needed, which can deal with large model uncertainties. This paper presents a novel active inference controller (AIC) as an adaptive control scheme for industrial robots. This scheme is…

Robotics · Computer Science 2021-04-14 Corrado Pezzato , Riccardo Ferrari , Carlos Hernandez

We propose information criteria that measure the prediction risk of a predictive density based on the Bayesian marginal likelihood from a frequentist point of view. We derive criteria for selecting variables in linear regression models,…

Methodology · Statistics 2017-10-20 Yuki Kawakubo , Tatsuya Kubokawa , Muni S. Srivastava

The Schwarz or Bayesian information criterion (BIC) is one of the most widely used tools for model comparison in social science research. The BIC however is not suitable for evaluating models with order constraints on the parameters of…

Methodology · Statistics 2019-05-01 Joris Mulder , Adrian E. Raftery

We investigate the complexity of logistic regression models which is defined by counting the number of indistinguishable distributions that the model can represent (Balasubramanian, 1997). We find that the complexity of logistic models with…

Machine Learning · Statistics 2019-03-04 Nicola Bulso , Matteo Marsili , Yasser Roudi
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