the mean and variance of the lagrangian katz family of distribution (lkd), the basiclagrangian katz distribution of type i (lkd-i) and type ii (lkd-ii) are provided in an easy method.the recurrence relation between the non-central, central and factorial moments, and the recurrencerelation between moments and cumulants of lkd, lkd-i and lkd-ii are given. the first fourcumulants of lkd-i and lkd-...

Uncertain set theory is a generalization of uncertainty theory that has become a new branch of mathematics for modeling human belief degrees. Uncertain set is a fundamental concept to describe unsharp concepts in uncertain set theory. The moments are important characteristics of an uncertain set. This paper studies the moments and central moments of uncertain set and gives some formulas to calc...

In this research, we have proposed the central-symmetrical property of image reconstructions from Zernike moments and pseudo-Zernike moments. We conducted the image reconstructions from the odd, even, and complete sets of Zernike moments and pseudo-Zernike moments, and verified the proposed central-symmetrical property. We have concluded that if the original image is centrally symmetrical, the ...

It is well known that for the simpler problem of constructing translation invariants of grey scale images (1D, 2D or 3D) central moments can be used. There are plain closed formulae expressing them in terms of the ordinary geometrical moments. Moreover, central moments are ordinary moments of the properly normalized image. In this paper we present moment invariants for the more involved problem...

The Low-order Central Moments UpWrite has been introduced in various contexts. We motivate and formalize this operation.