Cumulative distribution function solutions of advection–reaction equations with uncertain parameters
نویسندگان
چکیده
منابع مشابه
Efficient Estimation of the Density and Cumulative Distribution Function of the Generalized Rayleigh Distribution
The uniformly minimum variance unbiased (UMVU), maximum likelihood, percentile (PC), least squares (LS) and weighted least squares (WLS) estimators of the probability density function (pdf) and cumulative distribution function are derived for the generalized Rayleigh distribution. This model can be used quite effectively in modelling strength data and also modeling general lifetime data. It has...
متن کاملCDF Solutions of Buckley-Leverett Equation with Uncertain Parameters
The Buckley–Leverett (nonlinear advection) equation is often used to describe twophase flow in porous media. We develop a new probabilistic method to quantify parametric uncertainty in the Buckley–Leverett model. Our approach is based on the concept of a fine-grained cumulative density function (CDF) and provides a full statistical description of the system states. Hence, it enables one to obta...
متن کاملA hybrid method to find cumulative distribution function of completion time of GERT networks
This paper proposes a hybrid method to find cumulative distribution function (CDF) of completion time of GERT-type networks (GTN) which have no loop and have only exclusive-or nodes. Proposed method is cre-ated by combining an analytical transformation with Gaussian quadrature formula. Also the combined crude Monte Carlo simulation and combined conditional Monte Carlo simulation are developed a...
متن کاملCentered solutions for uncertain linear equations
Our contribution is twofold. Firstly, for a system of uncertain linear equations where the uncertainties are column-wise and reside in general convex sets, we show that the intersection of the set of possible solutions and any orthant is convex. We derive a convex representation of this intersection. Secondly, to obtain centered solutions for systems of uncertain linear equations, we compute th...
متن کاملKernel estimation of multivariate cumulative distribution function
A smooth kernel estimator is proposed for multivariate cumulative distribution functions (cdf), extending the work of Yamato [H. Yamato, Uniform convergence of an estimator of a distribution function, Bull. Math. Statist. 15 (1973), pp. 69–78.] on univariate distribution function estimation. Under assumptions of strict stationarity and geometrically strong mixing, we establish that the proposed...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
سال: 2014
ISSN: 1364-5021,1471-2946
DOI: 10.1098/rspa.2014.0189