890 research outputs found
An analysis of possible applications of fuzzy set theory to the actuarial credibility theory
In this work, we review the basic concepts of actuarial credibility theory from the point of view of introducing applications of the fuzzy set-theoretic method. We show how the concept of actuarial credibility can be modeled through the fuzzy set membership functions and how fuzzy set methods, especially fuzzy pattern recognition, can provide an alternative tool for estimating credibility
Quantum image classification using principal component analysis
We present a novel quantum algorithm for classification of images. The
algorithm is constructed using principal component analysis and von Neuman
quantum measurements. In order to apply the algorithm we present a new quantum
representation of grayscale images.Comment: 9 page
Cauchy's functional equation and extensions: Goldie's equation and inequality, the Go{\l}\k{a}b-Schinzel equation and Beurling's equation
The Cauchy functional equation is not only the most important single
functional equation, it is also central to regular variation. Classical
Karamata regular variation involves a functional equation and inequality due to
Goldie; we study this, and its counterpart in Beurling regular variation,
together with the related Go{\l}\k{a}b-Schinzel equation.Comment: Companion paper to: Additivity, subadditivity and linearity:
automatic continuity and quantifier weakenin
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