Here is the list of my papers that I have referred
to in my talk, and a short and very incomplete list
of other related papers.
Imre
I.Csiszar
(1975) I-divergence geometry of probability distributions
and minimization problems, Ann.Probab.3, 146-158.
(1984) Sanov property, generalized I-projection and a con-
ditional limit theorem, Ann. Probab. 12, 768-793.
(1984) Information geometry and alternating minimization
procedures /with G.Tusnady/ Statistics& Decisions,
Suppl.1, 205-237.
(1989) A geometric interpretation of Darroch and Ratcliff's
generalized iterative scaling. Ann. Statist. 17, 1409-
1413.
(1991) Why least squares and maximum entropy? An axiomatic
approach to inference for linear inverse problems.
Ann. Statist. 19, 2032-2066.
(1995) Generalized projections for non-negative functions.
Acta Math. Hungar. 68, 161-185.
(1996) Maxent, mathematics, and information theory. In: K.M.
Hanson and R.N.Silver (eds), Maximum Entropy and Bayesian
Methods, Kluwer Academic, 35-50.
(1999) MEM pixel correlated solutions for generalized moment
and interpolation problems /with F.Gamboa and E.Gassiat/
IEEE Trans. Inform.Theory, to appear
(2000) I-projections revisited /with F.Matus/,in preparation.
Some papers on axiomatics
J.E.Shore and R.W.Johnson, Axiomatic derivation of the principle
of maximum entropy and the principle of minimum cross-entropy"
IEEE Trans. Inform. Theory 26, 1980, 26-37,
correction 29,1983,942-943.
L.M.Bregman and N.I.Naumova, Arbitration solutions with idal
point generated by systems of functions. Soviet Math. Dokl.
30, 1984,583-587.
L.Jones and C.Byrne, General entropy criteria for inverse
problems with applications to data compression, pattern
classification, and cluster analysis. IEEE Trans. Inform.
Theory 36,1990, 23-30.
J.B.Paris and A.Vencovska, A note on the inevitability of
maximum entropy. Internat.J.Inex. Reasoning 4,1990, 183-223.
Some other references
L.M.Bregman, The relaxation method of finding the common point
of convex sets and its application to the solution of problems
in convex programming. USSR Comput. Math. and Math.Phys.7,
1967,200-217
E.T.Jaynes, Papers on Probability, Statistics, and Statistical
Physics, (R.D.Rosenkrantz,ed.) Reidel, Dordrecht,1983.
J.Kruithoff, Telefoon verkeer rekening, Het Engenieur 52, 1937,
E15-E16.
S.Kullback, Information Theory and Statistics, Wiley, NY, 1959.
F.Topsoe, Information theoretical optimization techniques.
Kybernetika 15, 1979, 8-17.