References
- Broyden, C.G. (1970). The convergence of a class of double-rank minimization algorithms. Journal of the Institute for Mathematics and Applications 6:222–231.
- Cook, R.J., Lawless, J.F. (2007). The Statistical Analysis of Recurrent Events. New York: Springer.
- Fredette, M., Lawless, J.F. (2007). Finite horizon prediction of recurrent events with application to forecast of warranty claims. Technometrics 49:66–80.
- Gail, M.H., Santner, T.J., Brown, C.C. (1980). An analysis of comparative carcinogenesis experiments based on multiple times to tumor. Biometrics 36:255–266.
- Gaver, D.P., O’Muircheartaigh, I.G. (1987). Robust empirical Bayes analysis of event rates. Technometrics 29:1–15.
- Good, I.J. (1963). Maximum entropy for hypothesis formulation, especially for multidimensional contingency tables. Annals of Mathematical Statistics 34:911–934.
- Jaynes, E.T. (1957). Information theory and statistical mechanics. Physical Review 106:620–630, and 108:171–190.
- Jaynes, E.T. (1968). Prior probabilities. IEEE Transactions Systems Science and Cybernetics, SSC-4, 227–241.
- Jaynes, E.T. (1982). On the rationale of maximum-entropy methods. Proceedings of the IEEE 70:939–952.
- Jeffreys, H. (1946). An invariant form for the prior probability in estimation problems. Proceedings of the Royal Society A 186:453–461.
- Jeffreys, H. (1961). Theory of Probability. 3rd ed. Oxford: Oxford University Press.
- Kullback, S., Leibler, R.A. (1951). On information and sufficiency. Annals of Mathematical Statistics 22:79–86.
- Lisman, J. H.C., Van Zuylen, M. C.A. (1972). Note on the generation of most probable frequency distributions. Statistica Neerlandica 26:19–23.
- Lunn, D. J., Thomas, A., Best, N., and Spiegelhater, D. (2000). WinBUGS—A Bayesian modelling framework: Concepts, structure, and extensibility. Statistics and Computing 10:325–327.
- Mohammad-Djafari, A. (1991b). A Matlab program to calculate the maximum entropy distributions. Appeared in Maximum Entropy and Bayesian Methods, Dordrecht: Kluwer Academic Publishers, pp. 221–234.
- Mohammad-Djafari, A., Idier, J. (1991b). Maximum likelihood estimation of the lagrange parameters of the maximum entropy distributions. Appeared in Maximum Entropy and Bayesian Methods. In: Ray Smith, C., Erickson, GaryJ., Neudorfer, PaulO., eds. Dordrecht: Kluwer Academic Publishers, pp. 131–140.
- Rao, C.R., Kagan, A.M., Linnik, Y.V. (1973). Characterization Problems in Mathematical Statistics. New York: John Wiley and Sons.
- Shannon, C.E. (1948). The mathematical theory of communication. Bell System Technical Journal 27:379–423.
- Skilling, J. (1989). Classic maximum entropy. In: Maximum Entropy and Bayesian Methods. In: Skilling, J., ed. Norwell, MA: Kluwer Academic, pp. 45–52.
- Talvila, E. (2001). Necessary and sufficient conditions for differentiating under the integral sign. American Mathematical Monthly 108:544–548.
- Ximing, W. (2003). Calculation of maximum entropy densities with application to income distribution. Journal of Econometrics 115:347–354.
- Wang, H.M., Kalwani, M.U., Akura, T. (2007). A Bayesian multivariate Poisson regression model of cross-category store brand purchasing behaviour. Journal of Retailing and Consumer Services 14:369–382.
- Weinstock, R. (1952). Calculus of Variations—With Applications to Physics and Engineering. New York: McGraw-Hill.
- Wragg, A., Dowson, D.C. (1970). Fitting continuous probability density functions over (0, ∞) using information theory ideas. IEEE Transactions on Information Theory IT-16:226–230.
- Zellner, A. (1977). Maximal data information prior distributions. New Developments in the Applications of Bayesian Methods. In: Aykac, A., Brumat, C., eds. Amsterdam: North-Holland, pp. 211–232.
- Zellner, A. R., Highfield, R. (1988). Calculation of maximum entropy distributions and approximation of marginal posterior distributions. Journal of Econometrics 37:195–209.
- Zellner, A., Tobias, J. (2001). Further results on Bayesian method of moments analysis of the multiple regression model. International Economic Review 42:121–139.