List of Symbols

images
matrices and vectors
images
transpose of a vector or a matrix
images
expectation of a random variable
images
variance of a random variable
images
diagonal matrix
images
trace of a matrix
images
real numbers
images
response vector
images
design matrix
images
vector of unknown regression parameters
images
least squares estimator
images
restricted least squares estimator
images
preliminary test least squares estimator
images
James–Stein‐type least squares estimator
images
positive‐rule James–Stein‐type least squares estimator
images
error term
images
ridge regression estimator
images
restricted ridge regression estimator
images
preliminary test ridge regression estimator
images
James–Stein‐type ridge regression estimator
images
positive‐rule James–Stein‐type ridge regression estimator
images
generalized ridge regression estimator
images
shrinkage estimator of the location parameter
images
LASSO estimator of the location parameter
images
modified LASSO estimator of the location parameter
images
generalized least squares estimator
images
restricted generalized least squares estimator
images
preliminary test generalized least squares estimator
images
James–Stein‐type generalized least squares estimator
images
positive‐rule James–Stein‐type generalized least squares estimator
images
images‐estimator
images
restricted images‐estimator
images
preliminary test images‐estimator
images
James–Stein‐type images‐estimator
images
positive‐rule James–Stein‐type images‐estimator
images
images‐estimator
images
restricted images‐estimator
images
preliminary test images‐estimator
images
James–Stein‐type images‐estimator
images
positive‐rule James–Stein‐type images‐estimator
images
bias expression of an estimator
images
images‐risk function of an estimator
images
c.d.f. of a standard normal distribution
images
c.d.f of a chi‐square distribution with images d.f. and noncentrality parameter images
images
c.d.f. of a noncentral images distribution with images d.f. and noncentrality parameter images
images
indicator function
images
identity matrix of order images
images
normal distribution with mean images and variance images
images
images‐variate normal distribution with mean images and covariance images
images
noncentrality parameter
images
covariance matrix of an estimator
images
sign function
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