Possibilities for probabilities

Probabilities , Possibilities , and Fuzzy

A formal analysis of probabilities, possibilities, and fuzzy sets is presented in this paper. A number of theorems proved show that probabilities carry more information per bit than both possibilities and fuzzy sets. The cost of this higher capacity is increased computational complexity and reduced computational eeciency. The resulting trade-oo of high complexity and information capacity versus...

Dreadful Possibilities, Neglected Probabilities

Exponential Models: Approximations for Probabilities

Welch & Peers (1963) used a root-information prior to obtain posterior probabilities for a scalar parameter exponential model and showed that these Bayes probabilities had the confidence property to second order asymptotically. An important undercurrent of this indicates that the constant information reparameterization provides location model structure, for which the confidence property ...

3D tracking based on possibilities rather than probabilities Application to flying honeybees at the beehive entrance

This article covers a tracking appoach for multiple simultaneously flying animals. The idea is to constraint the tracking to the physically possible space without any knowledge of the scene. Accordingly, we propose to use a naively made trajectory dataset as a base to track the targets into the possible space rather than the probable space. First, a trajectory database is computed under weak as...

Defining the relationship between gastroesophageal reflux and cough: probabilities, possibilities and limitations

The common co-existence of cough and gastroesophageal reflux disease (GORD) is well established. However, ascertaining cause and effect is more difficult for many reasons that include occurrence by chance of two common symptoms, the changing definition of GORD, equipment limitations and the lack of randomised controlled trials. Given these difficulties, it is not surprising that there is dispar...