In this paper we prove a basic theorem which says that if f : Fpn → [0, 1] has few ‘large’ Fourier coefficients, and if the sum of the norms squared of the ‘small’ Fourier coefficients is ‘small’ (i.e. the L2 mass of f̂ is not concetrated on small Fourier coefficients), then Σn,df(n)f(n+ d)f(n + 2d) is ‘large’. If f is the indicator function for some set S, then this would be saying that the set...

The main aim of this article is to characterize and investigate the three parameter exponentiated exponential Poisson probability distribution EEP(α, β, λ) by giving explicit closed form expressions for its characteristic function φξ(t) and moment generating function Mξ(t), and finally, to show that the existing series and integral form expressions for positive integer order moments Eξ , ν ∈ N ...

This paper reinterprets the γ -core (Chander and Tulkens (1995, 1997)) and justifies it as well as its prediction that the efficient coalition structure is stable in terms of the coalition formation theory. It is assumed that coalitions can freely merge or break apart, are farsighted (that is, it is the final and not the immediate payoffs that matter to the coalitions) and a coalition may devia...

The paper presents a support vector method for estimating probabilities in a real world problem: the prediction of probability of survival in critically ill patients. The standard procedure with Support Vectors Machines uses Platt’s method to fit a sigmoid that transforms continuous outputs into probabilities. The method proposed here exploits the difference between maximizing the AUC and minim...

Owing to the fact that insufficient data quality usually leads to wrong decisions and high costs, managing data quality is a prerequisite for the successful execution of business and decision processes. An economics-driven management of data quality is in need of efficient measurement procedures, which allow for a predominantly automated identification of poor data quality. Against this backgro...

Next to the normal distribution, the exponential distribution is possibly the most widely referenced continuous probability law. It appears as a textbook or an inclass example in introductory probability and statistics courses, and constitutes the A and B of reliability and life testing. There exist numerous characterizations of the exponential distribution, most of them based on the "lack of m...

Consider (X, E), where X is a finite set and E is a system of subsets whose union equals X. For every natural number n ∈ N define the cartesian products Xn = ∏n 1 X and En = ∏n 1 E . The following problem is investigated: how many sets of En are needed to cover Xn? Let this number be denoted by c(n). It is proved that for all n ∈ N exp{C · n} ≤ c(n) ≤ exp{Cn+ log n+ log log |X|}+ 1. A formula f...

We present a theory of quadratic time-frequency (TF) energy distributions that satisfy a covariance property and generalized marginal properties. The theory coincides with the characteristic function method of Cohen and Baraniuk in the special case of "conjugate operators."

In this paper, the cooperative games with fuzzy coalitions were discussed. Several integral representations which described the fuzzy character function of the cooperative game were given, and the important solution –-the Shapley function was also investigated. For the cooperative game where the rate of participation of every player in a coalition is allowed to range within interval [0,1], the ...

It is shown that allowing a bounded number of anomalies (mistakes) in the final programs learned by an algorithmic procedure can considerably “succinctify” those final programs. Naturally, only those contexts are investigated in which the presence of anomalies is not actually required for successful inference (learning). The contexts considered are certain infinite subclasses of the class of ch...