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gets (version 0.38)

infocrit: Computes the Average Value of an Information Criterion

Description

Given a log-likelihood, the number of observations and the number of estimated parameters, the average value of a chosen information criterion is computed. This facilitates comparison of models that are estimated with a different number of observations, e.g. due to different lags.

Usage

infocrit(x, method=c("sc","aic","aicc","hq"))

info.criterion(logl, n=NULL, k=NULL, method=c("sc","aic","aicc","hq"))

Value

infocrit: a numeric (i.e. the value of the chosen information criterion)

info.criterion: a list with elements

method

type of information criterion

n

number of observations

k

number of parameters

value

the value on the information criterion

Arguments

x

a list that contains, at least, three items: logl (a numeric, the log-likelihood), k (a numeric, usually the number of estimated parameters) and n (a numeric, the number of observations)

method

character, either "sc" (default), "aic", "aicc" or "hq"

logl

numeric, the value of the log-likelihood

n

integer, number of observations

k

integer, number of parameters

Author

Genaro Sucarrat, http://www.sucarrat.net/

Details

Contrary to AIC and BIC, info.criterion computes the average criterion value (i.e. division by the number of observations). This facilitates comparison of models that are estimated with a different number of observations, e.g. due to different lags.

References

H. Akaike (1974): 'A new look at the statistical model identification'. IEEE Transactions on Automatic Control 19, pp. 716-723

E. Hannan and B. Quinn (1979): 'The determination of the order of an autoregression'. Journal of the Royal Statistical Society B 41, pp. 190-195

C.M. Hurvich and C.-L. Tsai (1989): 'Regression and Time Series Model Selection in Small Samples'. Biometrika 76, pp. 297-307

Pretis, Felix, Reade, James and Sucarrat, Genaro (2018): 'Automated General-to-Specific (GETS) Regression Modeling and Indicator Saturation for Outliers and Structural Breaks'. Journal of Statistical Software 86, Number 3, pp. 1-44

G. Schwarz (1978): 'Estimating the dimension of a model'. The Annals of Statistics 6, pp. 461-464