Akaike, H. (1973). Information theory and an extension of the maximum likelihood principle. In B. N. Petrov & B. F. Csaki (Eds.),*Second International Symposium on Information Theory*, (pp. 267–281). Academiai Kiado: Budapest.

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

Akaike, H. (1976). Canonical correlation analysis of time series and the use of an information criterion. In R. K. Mehra & D. G. Lainiotis (Eds.),*System identification* (pp. 27–96). New York: Academic Press.

Akaike, H. (1977). On entropy maximization principle. In P. R. Krishnaiah (Ed.),*Proceedings of the Symposium on Applications of Statistics* (pp. 27–47). Amsterdam: North-Holland.

Akaike, H. (1978). On newer statistical approaches to parameter estimation and structure determination.*International Federation of Automatic Control, 3*, 1877–1884.

Akaike, H. (1979). A Bayesian extension of the minimum AIC procedure of autogressive model fitting.*Biometrika, 66*, 237–242.

Akaike, H. (1981a). Likelihood of a model and information criteria.*Journal of Econometrics, 16*, 3–14.

Akaike, H. (1981b). Modern development of statistical methods. In P. Eykhoff (Ed.),*Trends and progress in system identification* (pp. 169–184). New York: Pergamon Press.

Akaike, H. (1987). Factor Analysis and AIC.*Psychometrika, 52*.

Anderson, T. W. (1962). The choice of the degree of a polynomial regression as a multiple decision problem.*Annals of Mathematical Statistics, 33*, 255–265.

Atilgan, T. (1983).*Parameter parsimony, model selection, and smooth density estimation*. Unpublished doctoral dissertation, Madison: University of Wisconsin, Department of Statistics.

Atilgan, T., & Bozdogan, H. (1987, June). Information-theoretic univariate density estimation under different basis functions. A paper presented at the First Conference of the International Federation of Classification Societies, Aachen, West Germany.

Atkinson, A. C. (1980). A note on the generalized information criterion for choice of a model.*Biometrika, 67*, 413–418.

Bhansali, R. J., & Downham, D. Y. (1977). Some properties of the order of an autoregressive model selected by a generalization of Akaike's FPE criterion.*Biometrika, 64*, 547–551.

Boltzmann, L. (1877). Über die Beziehung zwischen dem zweitin Hauptsatze der mechanischen Wärmetheorie und der Wahrscheinlichkeitsrechnung respective den Sätzen über das Wärmegleichgewicht.*Wiener Berichte, 76*, 373–435.

Čencov, N. N. (1982).*Statistical decision rules and optimal inference*. Providence, RI: American Mathematical Society.

Clergeot, H. (1984). Filter-order selection in adaptive maximum likelihood estimation.*IEEE Transactions on Information Theory, IT-30* (2), 199–210.

Cox, D. R., & Hinkley, D. V. (1974).*Theoretical statistics*. London: Chapman and Hall.

Davis, M. H. A., & Vinter, R. B. (1985).*Stochastic modelling and control*. New York: Chapman and Hall.

Efron, B. (1967). The power of the likelihood ratio test.*Annals of Mathematical Statistics, 38*, 802–806.

Fisher, R. A. (1922). On the mathematical foundations of theoretical statistics.*Royal Society of London. Philosophical Transactions* (Series A),*222*, 309–368.

Graybill, F. A. (1976),*Theory and application of the linear model*. Boston: Duxbury Press.

Hannan, E. J. (1986). Remembrance of things past. In J. Gani (Ed.),*The craft of probabilistic modelling*. New York: Springer-Verlag.

Hannan, E. J., & Quinn, B. G. (1979). The determination of the order of an autoregression.*Journal of the Royal Statistical Society*, (Series B),*41*, 190–195.

Haughton, D. (1983). On the choice of a model to fit data from an exponential family. Unpublished doctoral dissertaion, Massachusetts Institute of Technology, Department of Mathematics, Cambridge, MA.

Jaynes, E. T. (1957). Information theory and statistical mechanics.*Physical Review, 106*, 620–630.

Kashyap, R. L. (1982). Optimal choice of AR and MA parts in autoregressive moving average models.*IEEE Transactions on Pattern Analysis and Machine Intelligence, 4*, 99–104.

Kendall, M. G., & Stuart, M. A. (1967).*The Advanced Theory of Statistics, Vol. 2, Second Edition*. New York: Hafner Publishing.

Kitagawa, G. (1979). On the use of AIC for the detection of outliers.*Technometrics, 21*, 193–199.

Kullback, S. (1959).*Information theory and statistics*. New York: John Wiley & Sons.

Kullback, S., & Leibler, R. A. (1951). On information and sufficiency.*Annals of Mathematical Statistics, 22*, 79–86.

Larimore, W. E., & Mehra, R. K. (1985, October). The problems of overfitting data.*Byte*, pp. 167–180.

Lindley, D. V. (1968). The choice of variables in multiple regression (with discussion).*Journal of the Royal Statistical Scociety* (Series B),*30*, 31–36.

Neyman, J., & Pearson, E. S. (1928). On the use and interpretation of certain test criteria for purposes of statistical inference.*Biometrika, 20A*, 175–240 (Part I), 263–294 (Part II).

Neyman, J., & Pearson, E. S. (1933). On the problem of the most efficient tests of statistical hypotheses.*Royal Society of London. Philosophical Transactions*. (Series A),*231*, 289–337.

Parzen, E. (1982). Data modeling using quantile and density-quantile functions. In J. T. de Oliveira & B. Epstein (Eds.),*Some recent advances in statistics* (pp. 23–52). London: Academic Press.

Quinn, B. G. (1980). Order determination for a multivariate autoregression.*Journal of the Royal Statistical Society* (Series B),*42*, 182–185.

Rissanen, J. (1978). Modeling by shortest data description.*Automatica, 14*, 465–471.

Schwarz, G. (1978). Estimating the dimension of a model.*Annals of Statistics, 6*, 461–464.

Sclove, S. L. (1987). Application of model-selection criteria to some problems in multivariate analysis.*Psychometrika, 52*.

Shibata, R. (1983). A theoretical view of the use of AIC. In O. D. Anderson (Ed.),*Time series analysis: Theory and practice, Vol. 4* (pp. 237–244). Amsterdam: North-Holland.

Silvey, S. D. (1975).*Statistical inference*. London: Chapman and Hall.

Stone, C. J. (1981). Admissible selection of an accurate and parsimonious normal linear regression model.*Annals of Statistics, 9*, 475–485.

Teräsvirta, T., & Mellin, I. (1986). Model selection criteria and model selection tests in regression models.*Scandinavian Journal of Statistics, 13*, 159–171.

Wald, A. (1943). Tests of statistical hypotheses concerning several parameters when the number of observations is large.*Transactions of the American Mathematical Society, 54*, 426–482.

White, H. (1982). Maximum likelihood estimation of misspecified models.*Econometrica, 50*, 1–26.

Wilks, S. S. (1962).*Mathematical Statistics*. New York: John Wiley & Sons.

Woodroofe, M. (1982). On model selection and the arc sine laws.*Annals of Statistics, 10*, 1182–1194.