Тotal probability formula for vector Gaussian distributions
نویسندگان
چکیده
منابع مشابه
Interpolation of Non-Gaussian Probability Distributions for Ensemble Visualization
A typical assumption is that ensemble data at each spatial location follows a Gaussian distribution. We investigate the consequences of that assumption when distributions are non-Gaussian. A sufficiently acceptable interpolation scheme needs to be devised for the interpolation of non-Gaussian distributions. We present two methods to calculate interpolations between two arbitrary distributions a...
متن کاملExtreme value distributions for nonlinear transformations of vector Gaussian processes
Approximations are developed for the marginal and joint probability distributions for the extreme values, associated with a vector of nonGaussian random processes. The component non-Gaussian processes are obtained as nonlinear transformations of a vector of stationary, mutually correlated, Gaussian random processes and are thus, mutually dependent. The multivariate counting process, associated ...
متن کاملA Gaussian Kinematic Formula
In this paper, we consider smooth, real-valued random fields built up from i.i.d. copies of centered, unit variance smooth Gaussian fields on a manifold M . Specifically, we consider random fields of the form fp = F (y1(p), . . . , yk(p)) for F ∈ C(R;R) and (y1, . . . , yk) a vector of C centered, unit-variance Gaussian fields. For fields of this type, we compute the expected Euler characterist...
متن کاملProbability , Conditional Probability and Bayes Formula
The intuition of chance and probability develops at very early ages.1 However, a formal, precise definition of the probability is elusive. If the experiment can be repeated potentially infinitely many times, then the probability of an event can be defined through relative frequencies. For instance, if we rolled a die repeatedly, we could construct a frequency distribution table showing how many...
متن کاملProbability Distributions for Channel Utilisation
Sensor nets have many undisputed fields of application. A paradigm of communication is the use of one control channel in the MAC layer. We challenge this paradigm for nodes with very restricted hardware resources. In our model nodes support the use of different channels and use clock synchronisation. We present a simple probabilistic synchronised channel utilisation scheme for wireless communic...
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: Doklady BGUIR
سال: 2021
ISSN: 2708-0382,1729-7648
DOI: 10.35596/1729-7648-2021-19-2-58-64