Estimates by the method of moments may be used as the first approximation to the solutions of the likelihood equations, and successive improved approximations may then be found by the Newton & ndash; Raphson method.
42.
In statistics, the "'method of moments "'is a method of estimation of population moments ( i . e ., the expected values of powers of the random variable under consideration ) to the parameters of interest.
43.
The following expression for the square of the skewness, in terms of the sample size ? = ? + ? and the variance " var ", is useful for the method of moments estimation of four parameters:
44.
Purely numerical methods such as the boundary element method ( method of moments ), finite difference time domain method ( FDTD ) and finite element methods are limited by computer performance to longer wavelengths or smaller features.
45.
In some cases, infrequent with large samples but not so infrequent with small samples, the estimates given by the method of moments are outside of the parameter space; it does not make sense to rely on them then.
46.
His two-volume monograph on the solution of linear differential and integral equations by the method of moments was translated 1938 1942 by John Vincent Atanasoff who found this work useful in his computer-project ( Atanasoff Berry computer ).
47.
As is usual in the method of moments, we assume an expansion for the source currents over some known set of basis functions with unknown weighting coefficients " J " " j " ( Scott [ 1989 ] ):
48.
Analyses include Signal Processing, Signal Integrity ( SI ) and Electromagnetic Compatibility / Electromagnetic Interference ( EMC / EMI ) using Signal Modeling and Simulation ( M & S ) techniques, Circuit M & S techniques and Method of Moments ( MoM ).
49.
This still leaves the question of how to obtain estimators in a given situation and carry the computation, several methods have been proposed : the method of moments, the maximum likelihood method, the least squares method and the more recent method of estimating equations.
50.
However, the Anderson Hsiao estimator is asymptotically inefficient, as its asymptotic variance is higher than the Arellano Bond estimator, which uses the same set of instruments, but constructs moment conditions from them and uses generalized method of moments estimation rather than instrumental variables estimation.
