Search results
Results from the WOW.Com Content Network
Suppose x is a Gaussian random variable with mean m and variance . Also suppose we observe a value y = x + w , {\displaystyle y=x+w,} where w is Gaussian noise which is independent of x and has mean 0 and variance σ w 2 . {\displaystyle \sigma _{w}^{2}.}
A representation of a tree in terms of its orthogonal components. l represents an internal node, an element of the orthonormal basis. This is a precursor to using the tree as a scaffold for the ilr transform
A description of how a piezoelectric accelerometer works in theory. A piezoelectric accelerometer is an accelerometer that employs the piezoelectric effect of certain materials to measure dynamic changes in mechanical variables (e.g., acceleration, vibration, and mechanical shock).
In statistics and signal processing, the method of empirical orthogonal function (EOF) analysis is a decomposition of a signal or data set in terms of orthogonal basis functions which are determined from the data.
The space of complex-valued class functions of a finite group G has a natural inner product: , := | | () ¯ where () ¯ denotes the complex conjugate of the value of on g.With respect to this inner product, the irreducible characters form an orthonormal basis for the space of class functions, and this yields the orthogonality relation for the rows of the character table:
For instance, a basis set with fixed orientation relative to an airplane can be defined as a set of three orthogonal unit vectors b 1, b 2, b 3, such that b 1 is parallel to the chord line of the wing and directed forward, b 2 is normal to the plane of symmetry and directed rightward, and b 3 is given by the cross product =.
It is known that the least squares estimator minimizes the variance of mean-unbiased estimators (under the conditions of the Gauss–Markov theorem). In the estimation theory for statistical models with one real parameter , the reciprocal of the variance of an ( "efficient" ) estimator is called the " Fisher information " for that estimator. [ 7 ]
Ordinary least squares regression of Okun's law.Since the regression line does not miss any of the points by very much, the R 2 of the regression is relatively high.. In statistics, the coefficient of determination, denoted R 2 or r 2 and pronounced "R squared", is the proportion of the variation in the dependent variable that is predictable from the independent variable(s).