Complex random vector information

statistics, a complex random vector is typically a tuple of complex-valued random variables, and generally is a random variable taking values in a vector space...

that the complex random vector Z = X + i Y {\displaystyle \mathbf {Z} =\mathbf {X} +i\mathbf {Y} \,} is a complex normal random vector or a complex Gaussian...

\Im {(Z_{n})}\leq \Im {(z_{n})})} as definition for the CDS of a complex random vector Z = ( Z 1 , … , Z N ) T {\displaystyle \mathbf {Z} =(Z_{1},\ldots...

statistics, complex random variables are a generalization of real-valued random variables to complex numbers, i.e. the possible values a complex random variable...

matrix giving the covariance between each pair of elements of a given random vector. Intuitively, the covariance matrix generalizes the notion of variance...

In probability, and statistics, a multivariate random variable or random vector is a list or vector of mathematical variables each of whose value is unknown...

autocorrelation matrix is a Hermitian matrix for complex random vectors and a symmetric matrix for real random vectors.: p.190  The autocorrelation matrix is a...

normal distribution to higher dimensions. One definition is that a random vector is said to be k-variate normally distributed if every linear combination...

space) is a real vector space or a complex vector space with an operation called an inner product. The inner product of two vectors in the space is a...

speed (vector magnitude) will be characterized by a Rayleigh distribution. A second example of the distribution arises in the case of random complex numbers...

A vector monitor, vector display, or calligraphic display is a display device used for computer graphics up through the 1970s. It is a type of CRT, similar...

can consider random elements of other sets E {\displaystyle E} , such as random Boolean values, categorical values, complex numbers, vectors, matrices,...

notice the link between random forest and kernel methods. He pointed out that random forests which are grown using i.i.d. random vectors in the tree construction...

generalizes Gilbert's random graph model, is the random dot-product model. A random dot-product graph associates with each vertex a real vector. The probability...

memory slightly. A random vector (that is, a random variable with values in Rn) is said to be a white noise vector or white random vector if its components...

probability space is usually referred to as a random variable (or random vector if it takes values in a vector space such as the Banach space B {\displaystyle...

the mean and the covariance matrix of the random vector X {\displaystyle \textstyle \mathbf {X} } , a vector whose jth element ( j = 1 , … , K ) {\displaystyle...

A random positioning machine, or RPM, rotates biological samples along two independent axes to change their orientation in space in complex ways and so...

In machine learning, support vector machines (SVMs, also support vector networks) are supervised max-margin models with associated learning algorithms...

the Fiedler vector. The Fiedler vector can be used to partition a graph. For the example graph in the introductory section, the Fiedler vector is ( 0.415...

x^{*}} is the complex conjugate of x . {\displaystyle x.} This variance is a real scalar. If X {\displaystyle X} is a vector-valued random variable, with...

{\displaystyle f(\mathbf {x} )} , where x {\displaystyle \mathbf {x} } is a vector of continuous and/or discrete values. At each iteration, hill climbing will...