The binomial proportion is a classic parameter with many applications and has also been extensively studied in the literature. By contrast, reciprocal of proportion, or inverse often overlooked, even though it plays an important role various fields. To estimate maximum likelihood method fails to yield valid when there no successful event Bernoulli trials. overcome this zero-event problem, sever...

The recent effort to define middleware capable of supporting real-time applications creates the opportunity to raise the level of abstraction presented to the programmer. We propose that proportion/period is a better abstraction for specifying resource needs and allocation than priorities. We are currently investigating techniques to address some issues that are restricting use of proportion/ p...

As a model of proportion regulation in differentiation process of biological system, globally coupled activator-inhibitor systems are studied. Formation and destabilization of one and two cluster state are predicted analytically. Numerical simulations show that the proportion of units of clusters is chosen within a finite range and it is selected depend on the initial condition. 87.10.+e,87.22....