Distributions are often used to model uncertainty in many scientific datasets. To preserve the correlation among the spatially sampled grid locations in the dataset, various standard multivariate ...

Improved Gaussian regression model for retrieving ground methane levels by considering vertical profile features ...

The mathematical equation that defines the smooth curve of a Gaussian distribution is called its probability density function (PDF). For one-dimensional (univariate) data, the PDF is: ...

be a univariate Gaussian data set with unknown mean $\mu$ and unknown variance $\sigma^2$. Moreover, assume a normal-gamma prior distribution over the model parameters $\mu$ and $\tau = 1/\sigma^2$: ...

Abstract This paper develops a method for estimating value-at-risk and conditional value-at-risk when the underlying risk factors follow a beta distribution in a univariate and a matrix-variate ...

This is done by considering that the Wishart Distribution is the conjugate prior of a multivariate Gaussian distribution, such as the gamma distribution for the univariate Gaussian case.

Many noisy processes are described by Gaussian probability distributions. Let's take a look at the mathematics of that.

We consider a single observation x obtained from a univariate Gaussian distribution with both the mean µ and variance, σ 2, unknown, that is,. In this paper the problems of estimating the sufficient ...