We derive Heisenberg equations for arbitrary high order moments of creation and annihilation operators in the case quantum master equation with a multimode generator which is quadratic obtain their solutions. Based on them we also similar equation, occur after averaging dynamics respect to classical Poisson process. This allows us show that finite-order fully defined by finite number linear dif...

New Zernike velocity moments have been developed to describe an object, not only by its shape , but also by its motion throughout an image sequence. These are an extended form of the orthogonal Zernike moment set and include velocity information introduced via centralised moments. Initial analysis shows that they perform well when applied to analysing gait sequences resulting in a good recognit...

In this paper nonparametric techniques are used to estimate higher-order moments of technical efficiency. The procedures given in this paper allow the moments to be estimated with relative ease, while at the same not requiring restrictive assumptions on the distribution of inefficiency. The results given by these estimates will allow researchers to gain additional information on the inefficienc...

Given good knowledge on the even moments, we derive asymptotic formulas for λ-th moments of primes in short intervals and prove “equivalence” result on odd moments. We also provide numerical evidence in support of these results.

In this work, we pose and solve a mean square optimal hedging problem that takes higher order moments (or cumulants) into account. We first provide a discrete stochastic dynamics model using a general multinomial lattice, where the first m cumulants are matched over each time step. We then analyze the effect of higher order moments in the underlying asset process on the price of derivative secu...

An integrated method is proposed for structural nonlinear damage detection based on time series analysis and the higher statistical moments of structural responses in this study. It combines the time series analysis, the higher statistical moments of AR model residual errors and the fuzzy c-means (FCM) clustering techniques. A few comprehensive damage indexes are developed in the arithmetic and...