conclusions the use of smoothing methods helps us to eliminate non-linear effects but it is more appropriate to use cox proportional hazards model in medical data because of its’ ease of interpretation and capability of modeling both continuous and discrete covariates. also, cox proportional hazards model and smoothing methods analysis identified that age at diagnosis and tumor size were indepe...

We consider the following problem in which a given number of items has to be chosen from a predefined set. Each item is described by a vector of attributes and for each attribute there is a desired distribution that the selected set should have. We look for a set that fits as much as possible the desired distributions on all attributes. Examples of applications include choosing members of a rep...

In game theory, basic solution concepts often conflict with experimental findings or intuitive reasoning. This fact is possibly due to the requirement that zero probability be assigned to irrational choices in these concepts. Here, we introduce the epistemic notion of common belief in utility proportional beliefs which also assigns positive probability to irrational choices, restricted however ...

Load balancing is a powerful technique commonly used in communication and computer networks to improve system performance, robustness and fairness. In this paper, we consider a general model capturing the performance of communication and computer networks, and on top of it we propose a decentralized algorithm for balancing load among multiple network paths. The proposed algorithm is inspired by...

Traditional hierarchical modelling methods tend to have layers of abstraction corresponding to naturally existing layers of concern in multilevel systems. Although convenient, this is not always optimal for analysis and design. For instance, parts of a system which are in the same layer may not contribute to the same degree on some metric, e.g. system power consumption. To moderate the modellin...

In this paper one proposes a new simple combination rule, similar to Dempster’s rule, but the normalization is done for each non-empty set with respect to the non-zero sum of its corresponding mass matrix; in the case when all sets are empty the conflict is redistributed to the disjunctive form of them all (which in many cases coincides with the total ignorance). A general formula is proposed t...

An amount of income can be obtained jointly by m agents, the ith agent’s share of income being Bi. The income and the utilities of each agent are functions of the state of nature. Each agent has a probability measure over the states of nature. An ejficient proportional distribution is one which is (1) Pareto optimal and for which (2) the expected proportion of income agent i receives divided by...