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Since the quadratic form is a scalar quantity, = (). Next, by the cyclic property of the trace operator, [ ()] = [ ()]. Since the trace operator is a linear combination of the components of the matrix, it therefore follows from the linearity of the expectation operator that
An integral quadratic form has integer coefficients, such as x 2 + xy + y 2; equivalently, given a lattice Λ in a vector space V (over a field with characteristic 0, such as Q or R), a quadratic form Q is integral with respect to Λ if and only if it is integer-valued on Λ, meaning Q(x, y) ∈ Z if x, y ∈ Λ.
Quadratic classifier; Quadratic form (statistics) Quadratic variation; Qualitative comparative analysis; Qualitative data; Qualitative variation; Quality control; Quantile; Quantile function; Quantile normalization; Quantile regression; Quantile-parameterized distribution; Quantitative marketing research; Quantitative psychological research ...
Positive semidefinite quadratic form; Positive semidefinite bilinear form ... Statistics; Cookie statement; Mobile view; Search. Search.
Binary quadratic form; Brauer–Wall group; Büchi's problem; C. Class number formula; ... Quadratic form (statistics) Surgery structure set; Sylvester's law of ...
In statistics, the theory of minimum norm quadratic unbiased estimation (MINQUE) [1] [2] [3] was developed by C. R. Rao. MINQUE is a theory alongside other estimation methods in estimation theory , such as the method of moments or maximum likelihood estimation .
Quadratic form (statistics), scalar quantity ε'Λε for an n-dimensional square matrix; Quadratic mean, the square root of the mean of the squares of the data; Quadratic variation, in stochastics, useful for the analysis of Brownian motion and martingales
The circularly symmetric version of the complex normal distribution has a slightly different form. Each iso-density locus — the locus of points in k -dimensional space each of which gives the same particular value of the density — is an ellipse or its higher-dimensional generalization; hence the multivariate normal is a special case of the ...