The failure of the information-based Akaike Information Criterion (AIC) in the context of singular models can be rectified by the definition of a Frequentist Information Criterion (FIC). FIC applies a frequentist approximation to the computation of the model complexity, which can be estimated analytically in many contexts. Like AIC, FIC can be understood as an unbiased estimator of the model pr...

The most commonly used model selection criterion, Akaike’s Information Criterion (AIC), cannot be used when the Generalized Estimating Equations (GEE) approach is considered for analyzing multivariate binary response. Recently, a modified version of AIC (mAIC) which is based on quasi-likelihood function is proposed as a model selection criterion. This model selection criterion can be used in th...

In the mixed modeling framework, Monte Carlo simulation and cross validation are employed to develop an “improved” Akaike information criterion, AICi, and the predictive divergence criterion, PDC, respectively, for model selection. The selection and the estimation performance of the criteria is investigated in a simulation study. Our simulation results demonstrate that PDC outperforms AIC and A...

In this paper, the problem of variable selection in linear regression is considered. This problem involves choosing the most appropriate model from the candidate models. Variable selection criteria based on estimates of the Kullback-Leibler information are most common. Akaike’s AIC and bias corrected AIC belong to this group of criteria. The reduction of the bias in estimating the Kullback-Leib...

In this paper, we propose a clustering method by SOM and information criteria. In this method, initial cluster-candidates are derived by SOM, and then these candidates are merged appropriately based on information criterion such as BIC or AIC (Akaike Information Criterion). Through the clustering experiments for the artificial datasets and UCI Machine Learning Repository’s datasets, we confirm ...

Keywords: Bayesian model selection Reversible jump Markov chain Monte Carlo Autoregressive fractional integrated moving average models Long memory processes a b s t r a c t Various model selection criteria such as Akaike information criterion (AIC; Akaike, 1973), Bayesian information criterion (BIC; Akaike, 1979) and Hannan–Quinn criterion (HQC; Hannan, 1980) are used for model specification in...

The objectives of this study were: (i) to compare five models (Wood, Cobby & Le Du, Wilmink, Cappio Borlino, Djikstra) for describing the lactation curve of Chios sheep, (ii) to identify variation in lactation parameters related to environmental factors (season) and animal factors (parity). A data base on 61,705 recordings of daily milk production obtained from an automatic milking system was u...

Using an innovations state space approach, it has been found that the Akaike information criterion (AIC) works slightly better, on average, than prediction validation on withheld data, for choosing between the various common methods of exponential smoothing for forecasting. There is, however, a puzzle. Should the count of the seed states be incorporated into the penalty term in the AIC formula?...

Submit Manuscript | http://medcraveonline.com Abbreviations: ECoG: Electro Cortico Graphic; BdSEM: Bayesian Differential Structural Equation Modeling; ODEs: Ordinary Differential Equations; ROI: Region Of Interest; fMRI: functional Magnetic Resonance Imaging; MCMC: Markov Chain Monte Carlo; FDA: Functional Data Analysis; STG: Superior Temporal Gyrus; PostSTG: Posterior STG; MidSTG: Middle STG; ...

The Akaike information criterion, AIC, and its corrected version, AICc are two methods for selecting normal linear regression models. Both criteria were designed as estimators of the expected Kullback–Leibler information between the model generating the data and the approximating candidate model. In this paper, two new corrected variants of AIC are derived for the purpose of small sample linear...