Characterizing the Gaussian distribution on groups by the uniform distribution of a monomial and linear statisticsLet X be an LCA group, ξ 1 ,···,ξ s , s≥2, be independent, identically μ-distributed random variables with values in X. The paper describes completely the groups X on ...
To achieve this scope, the following aspects were investigated: Section 2 introduces the theoretical model of cutting depth and the first-order partial derivative model based on the Gaussian distribution of the kerf profile; In Section 3, three ductile material properties (Section 3.1), image ...
Following the entropic argument, the simplest such case is any bounded domain in which the entropy is maximized by the uniform, not Gaussian distribution. Physically speaking, it corresponds to particles being confined in some finite area by a reflecting barrier. Such a perfect local confinement ...
This assumption can be realistic if the channel distribution is unknown at the transmitter side. In [Chi02], the author gives the analytical expression of the moment generating function of the mutual information assuming uniform power allocation over the transmit antennas. Let nmin=min{nr,nt} ...
Remembering the definition of the exponential distribution: Now both and , which are coordinates of a point generated from two independent Gaussian distributions, can be expressed using two uniformly distributed values. Ad Break Step 2: From uniform to Gaussian We can now reverse the procedure done...
Some remarks on the uniform distribution and finite sample assumptions: The derivation in Eq. (3.7) is based on the assumption that the distribution of XX is uniform. If the density is not uniform, consider a measure μ with probability density μ(x). The integration in Eqs. (3.7) and (...
If the LR test from nnSVG to assess the statistical significance of SVGs is well calibrated, we expected to see a flat, uniform distribution representing null tests for most of the distribution with a spike close to 0 representing the non-null tests. When we apply filtering to remove lowly...
The 200 data points were used as observational points with a completely random distribution to interpolate this surface. A regular network of locations in the range in −2 ≤ x,y≤ 2 with distances of 0.1 along xand ywas considered the evaluation. Interpolation of this mathematical surface ...
Conversely, generating a random sample from the mixture distribution involves drawing a value of k at random (uniform) and then drawing x from a Gaussian distribution with mean μk and covariance matrix Σ. Expressed in the space defined by the eigenvectors of Σ with non-zero eigenvalues, this...
This assumption can be realistic if the channel distribution is unknown at the transmitter side. In [Chi02], the author gives the analytical expression of the moment generating function of the mutual information assuming uniform power allocation over the transmit antennas. Let nmin=min{nr,nt} ...