The concepts of robust classification and intelligently controlling the search process of genetic algorithm (GA) are introduced and integrated with a conventional genetic classifier for development of a new version of it, which is called Intelligent and Robust GA-classifier (IRGA-classifier). It can efficiently approximate the decision hyperplanes in the feature space. It is shown experime...

Using a diagrammatic reformulation of Bayes' theorem, we provide necessary and sufficient condition for the existence Bayesian inference in setting finite-dimensional $C^*$-algebras. In other words, prove an analogue theorem joint classical quantum context. Our is justified by recent advances categorical probability theory, which have provided abstract formulation theorem. process, further deve...

longitudinal  study  plays  an  important  role  in  the  epidemiological,  clinical,  and  social  science studies. in these kinds of studies, every individual is observed frequently during a period of time. the statistical analysis of longitudinal presents special opportunities  and challenges. the repeated outcomes for one individual tend to be correlated among themselves also one of the pro...

Small area estimation has received a lot of attention in recent years due to growing demand for reliable small area statistics. Traditional area-specific estimators may not provide adequate precision because sample sizes in small areas are seldom large enough. This makes it necessary to employ indirect estimators based on linking models. Basic area level and unit level models have been extensiv...

In recent years, we have studied information properties of various types of mixtures of probability distributions and introduced a new type, which includes previously known mixtures as special cases. These studies are disseminated in different fields: reliability engineering, econometrics, operations research, probability, the information theory, and data mining. This paper presents a holistic ...

Let T deno te a con t inuous t ime hor izon and {Gt:teT} be a net (general ized sequence) of Bayesian games. We show that: (i) if {xt: te T} is a net of Bayes ian Nash Equi l ib r ium (BNE) strategies for G t, we can ext rac t a subsequence which converges to a l imit full in fo rmat ion B N E s t ra tegy for a one shot l imit full in fo rmat ion Bayes ian game. (ii) If {xt:t~T} is a net of a p...