As in the original closure proposed by Grooms, eddy fluxes are proportional to the product of two Gaussian variables, and the parameterization reduces to the Gent and McWilliams parameterization for the mean buyoancy fluxes.doi:10.1016/j.ocemod.2016.12.005Jansen...
If the two Gaussian variables are uncorrelated, then they are necessarily independent. Therefore, the length equation is the quotient of two nonzero independent Gaussian random variables. For the special case when each random variable has zero mean, the random variab [translate] ...
aThe random length (18) can now be viewed as the quotient of two, nonzero mean Gaussian random variables.To completely parameterize this relationship, the covariante between the numerator and denominator random variables must be determined. The summation of (20) can be viewed as the inner produ...
In this work, we tackle the problem of estimating the densityof a random variableby successive smoothing, such that the smoothed random variablefulfills the diffusion partial differential equationwith initial condition. We propose a product-of-experts-type model utilizing Gaussian mixture experts and s...
A. D. McGettrick, A Result in the theory of Weierstrauss elliptic functions, Proc. London Math. Soc.,25, 41–54 (1972). Google Scholar A. D. McGettrick, On Gaussian Sums, Dissertation (1970). A. D. McGettrick, On the biquadratic Gauss sum, Proc. Camb. Philosophic Soc. (Math...
Given that the process of generating inequalities is a dynamic one, we tried to use the longest time span possible. The econometric analysis was performed using STATA 14.0. In Table 3.1 the name, definition, and source of the raw variables are presented. Table 3.1. Variables description. ...
Non-linear properties of conditional returns under scale mixtures This article provides a framework for analyzing multifactor financial returns that violate the Gaussian distributional assumption. Analytical expressions a... SB Fotopoulos,VK Jandhyala,KH Chen - 《Computational Statistics & Data Analysis》 ...
the setup package now provides a way to override unpredictable environment settings the setup package now provides and sources the sh.local and csh.local files for overrides of environment variables from the /etc/profile.d directory, which is sourced last. previously, an undefined order could ...
For two scalar random variables satisfying the martingale condition, the variable b has zero mean conditioned on variable a. In the non-commutative generalization, the matrix \(\varvec{B}\) is partially traceless (“zero-mean”) on a subsystem where the matrix \(\varvec{A}\) is trivial ...
It can be shown, that applying dropout before each hidden layer of the NN during testing is equivalent to the approximation of a Gaussian process (Gal & Ghahramani, 2016). The model uncertainty \(\sigma _{\hat{y}_i}^2\) can therefore be estimated with sample variance (Zhu & Laptev, ...