The product of Gaussian random variables appears naturally in many applications in probability theory and statistics. It has been known that the distribution of a product of N such variables can be expressed in terms of a Meijer G-function. Here, we compute a similar representation for the ...
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...
Let X and Y be two independent L x 1 complex Gaussian random vectors distributed as CN (m×, σ2× IL) and CN (mY, σY2 IL), respectively, where I_L denotes the L x L identity matrix. The joint characteristic function (c.f.) of the real and imaginary parts of the inner produ...
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 paper, we give the central limit theorem and almost sure central limit theorem for products of some partial sums of independent identically distributed random variables. 关键词: Central limit theorem almost sure central limit theorem products of sums DOI: 10.1007/s12044-008-0021-9 被引...
we have assumed that all the input parameters are a triangular and trapezoidal fuzzy number rather than stochastic random variables.Defuzzificationor the ranking function executes the process of obtaining the crisp or deterministic version of a fuzzy number. A robust technique has been used, which cov...
In this paper, the Gaussian mixture model (GMM) based parametric framework is used to design a product vector quantization (PVQ) method that provides rate-distortion (R/D) performance optimality and bitrate scalability. We use a GMM consisting of a large number of Gaussian mixtures and invoke ...
achoose one of the "Importing Variables..." topics. 选择一“进口可变物…” 题目。 [translate] aIt is worth noting that, in the case of a Log-Normal distribution, a multivariate Gaussian Copula allows to obtain simulated damage values, which correspond to the values obtainable by randomly ...
1. Department of Quantitative Methods, Concordia University, Montreal, Quebec, CanadaSpringer-VerlagTrabajos de Estadistica y de Investigacion OperativaG. Pederzoli, "Some properties of beta functions and the distribution for product of independent beta random variables," Trabajos De Estadistica Y De ...