4 papers
Generalized Maxwell-Boltzmann, Bose-Einstein, Fermi-Dirac and Acharya-Swamy Statistics and the Polya Urn Model
Robert K. Niven, Marian Grendar
Generalized probability distributions for Maxwell-Boltzmann, Bose-Einstein and Fermi-Dirac statistics, with unequal source probabilities for each level , are obtained by c…
Maximum Probability and Relative Entropy Maximization. Bayesian Maximum Probability and Empirical Likelihood
M. Grendar
Works, briefly surveyed here, are concerned with two basic methods: Maximum Probability and Bayesian Maximum Probability; as well as with their asymptotic instances: Relative Entro…
The Polya Urn: Limit Theorems, Polya Divergence, Maximum Entropy and Maximum Probability
Marian Grendar, Robert K. Niven
Sanov's Theorem and the Conditional Limit Theorem (CoLT) are established for a multicolor Polya Eggenberger urn sampling scheme, giving the Polya divergence and the Polya extension…
On the probabilistic rationale of I-divergence and J-divergence minimization
Marian Grendar
A probabilistic rationale for I-divergence minimization (relative entropy maximization), non-parametric likelihood maximization and J-divergence minimization (Jeffres' entropy maxi…