On the optimal entropy analysis

Article Abstract:

A Geometric Programming approach is extended to solve linearly constrained entropy optimization problems with a countably infinite number of states using Jensen's inequality. The Geometric dual is analogous to the Lagrangean dual for continuous probability distributions. This clarifies how the maximum likelihood principle is the dual of the minimum cross-entropy principle for the exponential family. Derivation of the Geometric dual is presented.

Usage, Entropy (Information theory), Duality theory (Mathematics)

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The robust coloring problem

Article Abstract:

The new coloring problem denoted as the robust coloring problem (RCP) is introduced and a genetic algorithm towards RCP solution is outlined. It is proved that this problem is NP-hard and only small-size problems could be solved with the exact algorithms based on mathematical programming models.

Analysis, Genetic algorithms

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Optimal Bayesian sampling acceptance plan with random censoring

Article Abstract:

A general model of sampling acceptance plan for the exponential distribution with exponentially distribution random censoring is presented and investigated using Bayesian theory. A numerical example is given to demonstrate the model.

Methods, Bayesian statistical decision theory, Bayesian analysis, Functions, Exponential, Exponential functions

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