Grendar, M. and Judge, G., Asymptotic Equivalence of Empirical Likelihood and Bayesian MAP, Ann. Statist., 37(5A), pp. 2445-2457, 2009.
Grendar, M., Maximum
Probability and Relative Entropy Maximization. Bayesian Maximum
Probability and Empirical Likelihood, Proc. of Intnl. Workshop on Applied
Probability, France, 2008. Presentation
.
Grendar, M., Judge, G. and Schechter, L., An
empirical non-parametric likelihood family of data-based
Benford-like distributions. Physica A, 380, 429-438, 2007.
Grendar, M., Dewar dice (Maximum Probability and Maximum Entropy Production), Dec. 2007.
Ramer, A., Grendar, M. and Padet, C., Graph Entropy and Conditioning, poster at Facets of Entropy workshop, Copenhagen, Oct. 2007.
Grendar, M., Maximum Probability, Maximum Entropy and Empirical Likelihood (Probabilistic regularization of inverse problems), a survey, June 2007.
Grendar, M. and R. K. Niven, The Polya Urn:
Limit Theorems, Polya Divergence, Maximum Entropy and Maximum
Probability, 2006.
Peer-reviewed offsprings:
1) R. K.
Niven and M. Grendar, Generalized
classical,
quantum
and
intermediate
statistics
and the Pólya urn model,
Phys. Lett. A, 373/6,
621-626, 2009.
2)
M.
Grendar
and R. K. Niven, The
Polya
Information
Divergence, Inform.
Sciences, 180/21, 4189-4194, 2010. Correction.
Grendar, M., Boltzmann
Jaynes
Inverse Problem, Maximum Entropy and Maximum Probability, a
presentation at Robert Niven's
workshop, Canberra, Sep. 2006.
Grendar, M., Conditional Equi-concentration of Types, in Focus on Probability Theory, L. R. Velle (ed.), NSP (NY), pp. 73-89, 2006.
Grendar, M., Empirical Maximum Entropy Methods, in Bayesian inference and maximum entropy methods in science and engineering, A. Mohammad-Djafari (ed.), AIP (Melville), pp. 419-424, 2006.
Grendar, M. and Judge, G., Large Deviations Theory and Empirical Estimator Choice, Econometric Reviews, 27 (4-6), pp. 513-525, 2008. (Submitted in 2006).
Grendar, M., L-divergence consistency for a discrete prior, Jour. Stat. Research, 40[1], pp. 73-76, 2006.
Grendar, M., Entropy and Effective Support Size, Entropy, 8[3], pp. 169-174, 2006.
Grendar, M., Conditioning by rare sources, Acta Univ. M. Belii Math., 12, pp. 19-29, 2005.
Grendar, M., Jr. and Grendar, M., Maximum Probability/Entropy translating of contiguous categorical observations into frequencies, Appl. Math. Comp., 161, (2005), 347-351.
Grendar, M., Asymptotic identity of mu-projections and I-projections, Acta Univ. M. Belii Math., 11, pp. 3-6, 2004.
Grendar, M., Gibbs conditioning extended, Boltzmann conditioning introduced, in Bayesian inference and maximum entropy methods in science and engineering, R. Fischer, R. Preuss and U. von Toussaint (eds.), AIP (Melville), pp. 470-477, 2004.
Grendar, M., Determination of constrained modes of a multinomial distribution, Compstat 2004, J. Antoch (ed.), Physica, pp. 1109-1115, 2004.
Grendar, M., Jr. and Grendar, M., Maximum Probability and Maximum Entropy methods: Bayesian interpretation, in Bayesian inference and maximum entropy methods in science and engineering, G. Erickson and Y. Zhai (eds.), AIP (Melville), pp. 490-494, 2004.
Grendar, M., Jr. and Grendar, M., Maximum entropy method with non-linear moment constraints: challenges, in Bayesian inference and maximum entropy methods in science and engineering, G. Erickson and Y. Zhai (eds.), AIP (Melville), pp. 97-109, 2004.
Grendar, M., Jr. and Grendar, M., Chernoff's bound forms, in Bayesian inference and maximum entropy methods in science and engineering, Ch. Williams (ed.), AIP (Melville), pp. 67-72, 2003.
Grendar, M., Jr. and Grendar, M., Asymptotic Equiprobability of I-projections, Acta Univ. M Belii Math, 10, pp. 3-8, 2003.
Grendar, M., Jr. and Grendar, M., Randomness as an equilibrium. Potential and probability density, in Bayesian inference and maximum entropy methods in science and engineering, R. L. Fry (ed.), AIP (Melville), pp. 405-410, 2002.
Grendar, M. and Grendar, M., Jr., Why Maximum Entropy? A non-axiomatic approach, in Bayesian inference and maximum entropy methods in science and engineering, R. L. Fry (ed.), AIP (Melville), pp. 375-279, 2002.
Grendar, M., Jr. and Grendar, M., Maximum Entropy: clearing up mysteries, Entropy, 3, pp. 58-63, 2001.
Grendar, M., Jr. and Grendar, M., MiniMax Entropy and Maximum Likelihood: complementarity of tasks, identity of solutions, in Bayesian inference and maximum entropy methods in science and engineering, A. Mohammad-Djafari (ed.), AIP (Melville), pp. 49-61, 2001.
Grendar, M., Jr. and Grendar, M., What is the question that MaxEnt answers? A probabilistic interpretation, in Bayesian inference and maximum entropy methods in science and engineering, A. Mohammad-Djafari (ed.), AIP (Melville), pp. 83-94, 2001.
Grendar, M., Jr. and Grendar, M., On the probabilistic justification of I-divergence and J-divergence minimization, presented at Information Thoery in Mathematics, Balatonlelle (Hungary), July 2000.