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Factor analysis is over a century old, but it is still problematic to choose
the number of factors for a given data set. The scree test is popular but subjective. The best performing objective method...
A universal approximate cross-validation criterion and its asymptotic distribution
AIC cross entropy crossvalidation estimator choice Kullback-Leibler risk model selection ordered categorical observations psychometric tests
2012/6/29
A general framework is that the estimators of a distribution are obtained by minimizing a function (the estimating function) and they are assessed through another function (the assessment function). T...
Construction of the Normal Form for Elliptic Tori in Planetary Systems. Part I: Numerical Validation of the Semi-Analytic Algorithm
Dynamical Systems (math.DS) Chaotic Dynamics (nlin.CD)
2010/11/10
We adapt the Kolmogorov's normalization algorithm (which is the key element of the original proof scheme of the KAM theorem) to the construction of a suitable normal form related to an invariant ellip...
$M$-cross-validation criterion is proposed for selecting a smoothing parameter in a nonparametric median regression model in which a uniform weak convergency rate for the $M$-cross-validated local med...