Tests for Geophysical Eigenvalues


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Documentation for package ‘TFORGE’ version 0.1.14

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TFORGE-package TFORGE: Tests for Geophysical Eigenvalues
as_flat Flat storage of symmetric matrices
as_fsm Flat storage of symmetric matrices
as_kfsm Flat storage of symmetric matrices
boot_calib Bootstrap calibration for single-sample and k-sample tests
chisq_calib Chi Squared Calibration for Testing
conf_fixedtrace Eigenvalue confidence region under fixed trace constraint
conf_fixedtrace_inregion Eigenvalue confidence region under fixed trace constraint
conf_ss1fixedtrace Eigenvalue confidence interval under trace=0 and sum of square constraint
conf_ss1fixedtrace_inregion Eigenvalue confidence interval under trace=0 and sum of square constraint
cov_evals Compute the Covariance of Eigenvalues
dim_vech Flatten a symmetric matrix into a vector.
estimate_OIcov Estimate parameters of orthogonally invariant covariance
fsm Flat storage of symmetric matrices
has_fixedtrace Check if the supplied sample(s) have fixed trace
has_ss1 Check whether the supplied sample(s) have equal sum of squared eigenvalues
inv_vech Flatten a symmetric matrix into a vector.
kfsm Flat storage of symmetric matrices
normalise_ss1 Normalise so that Sum of Squared Eigenvalues is One
normalise_trace Scale symmetric matrices to have trace of one
normalize_trace Scale symmetric matrices to have trace of one
project_trace Project diagonal elements to have trace of zero
rsymm Simulate Symmetric Matrices with Multivariate Normal Elements
rsymm_norm Simulate Symmetric Matrices with Multivariate Normal Elements
rsymm_t Simulate Symmetric Matrices with Multivariate t Elements
stat_fixedtrace Test for eigenvalues when trace is fixed
stat_multiplicity Test eigenvalue multiplicity
stat_ss1 Test for eigenvalues when sum of squared eigenvalues is 1
stat_ss1fixedtrace Test eigenvalues when trace=0 and sum of square eigenvalues = 1
stat_unconstrained Pivotal bootstrap test of mean eigenvalues
test_fixedtrace Test for eigenvalues when trace is fixed
test_multiplicity Test eigenvalue multiplicity
test_multiplicity_nonnegative Test eigenvalue multiplicity
test_multiplicity_OI Test of eigenvalue multiplicity assuming orthogonally invariant covariance
test_ss1 Test for eigenvalues when sum of squared eigenvalues is 1
test_ss1fixedtrace Test eigenvalues when trace=0 and sum of square eigenvalues = 1
test_unconstrained Pivotal bootstrap test of mean eigenvalues
test_unconstrained_aGOE Two Sample Test of Equal Eigenvalues Using GOE Approximation
TFORGE TFORGE: Tests for Geophysical Eigenvalues
translate2multiplicity Test eigenvalue multiplicity
translate_evalsofav Pivotal bootstrap test of mean eigenvalues
vecd Flatten a symmetric matrix into a vector preserving Frobenius norm.
vech Flatten a symmetric matrix into a vector.