Moments of Ratios of Quadratic Forms Using Recursion


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Documentation for package ‘qfratio’ version 1.0.1

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A D H I K M N P Q R S T

qfratio-package qfratio: Moments of Ratios of Quadratic Forms Using Recursion

-- A --

a1_pk Recursion for a_p,k
ABDpqr_int_cmE Internal C++ functions
ABDpqr_int_cvE Internal C++ functions
ABDpqr_int_nmE Internal C++ functions
ABDpqr_int_nvE Internal C++ functions
ABpq_int_cmE Internal C++ functions
ABpq_int_cvE Internal C++ functions
ABpq_int_nmE Internal C++ functions
ABpq_int_nvE Internal C++ functions
ApBDqr_int_cmE Internal C++ functions
ApBDqr_int_cmEc Internal C++ functions
ApBDqr_int_cmEl Internal C++ functions
ApBDqr_int_cvE Internal C++ functions
ApBDqr_int_cvEc Internal C++ functions
ApBDqr_int_cvEl Internal C++ functions
ApBDqr_int_nmE Internal C++ functions
ApBDqr_int_nmEc Internal C++ functions
ApBDqr_int_nmEl Internal C++ functions
ApBDqr_int_nvE Internal C++ functions
ApBDqr_int_nvEc Internal C++ functions
ApBDqr_int_nvEl Internal C++ functions
ApBDqr_npi_cmE Internal C++ functions
ApBDqr_npi_cmEc Internal C++ functions
ApBDqr_npi_cmEl Internal C++ functions
ApBDqr_npi_cvE Internal C++ functions
ApBDqr_npi_cvEc Internal C++ functions
ApBDqr_npi_cvEl Internal C++ functions
ApBDqr_npi_nmE Internal C++ functions
ApBDqr_npi_nmEc Internal C++ functions
ApBDqr_npi_nmEl Internal C++ functions
ApBDqr_npi_nvE Internal C++ functions
ApBDqr_npi_nvEc Internal C++ functions
ApBDqr_npi_nvEl Internal C++ functions
ApBIqr_int_cmE Internal C++ functions
ApBIqr_int_cvE Internal C++ functions
ApBIqr_int_nmE Internal C++ functions
ApBIqr_int_nmEc Internal C++ functions
ApBIqr_int_nmEl Internal C++ functions
ApBIqr_int_nvE Internal C++ functions
ApBIqr_int_nvEc Internal C++ functions
ApBIqr_int_nvEl Internal C++ functions
ApBIqr_npi_cmE Internal C++ functions
ApBIqr_npi_cmEc Internal C++ functions
ApBIqr_npi_cmEl Internal C++ functions
ApBIqr_npi_cvE Internal C++ functions
ApBIqr_npi_cvEc Internal C++ functions
ApBIqr_npi_cvEl Internal C++ functions
ApBIqr_npi_nmE Internal C++ functions
ApBIqr_npi_nmEc Internal C++ functions
ApBIqr_npi_nmEl Internal C++ functions
ApBIqr_npi_nvE Internal C++ functions
ApBIqr_npi_nvEc Internal C++ functions
ApBIqr_npi_nvEl Internal C++ functions
ApBq_int_cmE Internal C++ functions
ApBq_int_cvE Internal C++ functions
ApBq_int_nmE Internal C++ functions
ApBq_int_nvE Internal C++ functions
ApBq_npi_cmE Internal C++ functions
ApBq_npi_cmEc Internal C++ functions
ApBq_npi_cmEl Internal C++ functions
ApBq_npi_cvE Internal C++ functions
ApBq_npi_cvEc Internal C++ functions
ApBq_npi_cvEl Internal C++ functions
ApBq_npi_nmE Internal C++ functions
ApBq_npi_nmEc Internal C++ functions
ApBq_npi_nmEl Internal C++ functions
ApBq_npi_nvE Internal C++ functions
ApBq_npi_nvEc Internal C++ functions
ApBq_npi_nvEl Internal C++ functions
ApIq_int_cmE Internal C++ functions
ApIq_int_nmE Internal C++ functions
ApIq_npi_cvE Internal C++ functions
ApIq_npi_nvE Internal C++ functions
ApIq_npi_nvEc Internal C++ functions
ApIq_npi_nvEl Internal C++ functions
Ap_int_cmE Internal C++ functions
Ap_int_nmE Internal C++ functions

-- D --

d1_i Coefficients in polynomial expansion of generating function-single matrix
d2_1j Coefficients in polynomial expansion of generating function-for ratios with two matrices
d2_1j_m Coefficients in polynomial expansion of generating function-for ratios with two matrices
d2_1j_v Coefficients in polynomial expansion of generating function-for ratios with two matrices
d2_ij Coefficients in polynomial expansion of generating function-for ratios with two matrices
d2_ij_m Coefficients in polynomial expansion of generating function-for ratios with two matrices
d2_ij_v Coefficients in polynomial expansion of generating function-for ratios with two matrices
d2_pj Coefficients in polynomial expansion of generating function-for ratios with two matrices
d2_pj_m Coefficients in polynomial expansion of generating function-for ratios with two matrices
d2_pj_v Coefficients in polynomial expansion of generating function-for ratios with two matrices
d3_ijk Coefficients in polynomial expansion of generating function-for ratios with three matrices
d3_ijk_m Coefficients in polynomial expansion of generating function-for ratios with three matrices
d3_ijk_v Coefficients in polynomial expansion of generating function-for ratios with three matrices
d3_pjk Coefficients in polynomial expansion of generating function-for ratios with three matrices
d3_pjk_m Coefficients in polynomial expansion of generating function-for ratios with three matrices
d3_pjk_v Coefficients in polynomial expansion of generating function-for ratios with three matrices
dtil1_i Coefficients in polynomial expansion of generating function-single matrix
dtil1_i_m Coefficients in polynomial expansion of generating function-single matrix
dtil1_i_v Coefficients in polynomial expansion of generating function-single matrix
dtil2_1q_m Coefficients in polynomial expansion of generating function-for products
dtil2_1q_v Coefficients in polynomial expansion of generating function-for products
dtil2_pq Coefficients in polynomial expansion of generating function-for products
dtil2_pq_m Coefficients in polynomial expansion of generating function-for products
dtil2_pq_v Coefficients in polynomial expansion of generating function-for products
dtil3_pqr Coefficients in polynomial expansion of generating function-for products
dtil3_pqr_m Coefficients in polynomial expansion of generating function-for products
dtil3_pqr_v Coefficients in polynomial expansion of generating function-for products

-- H --

h2_ij Coefficients in polynomial expansion of generating function-for ratios with two matrices
h2_ij_m Coefficients in polynomial expansion of generating function-for ratios with two matrices
h2_ij_v Coefficients in polynomial expansion of generating function-for ratios with two matrices
h3_ijk Coefficients in polynomial expansion of generating function-for ratios with three matrices
h3_ijk_m Coefficients in polynomial expansion of generating function-for ratios with three matrices
h3_ijk_v Coefficients in polynomial expansion of generating function-for ratios with three matrices
hgs Calculate hypergeometric series
hgs_1d Calculate hypergeometric series
hgs_2d Calculate hypergeometric series
hgs_3d Calculate hypergeometric series
hhat2_1j Coefficients in polynomial expansion of generating function-for ratios with two matrices
hhat2_1j_m Coefficients in polynomial expansion of generating function-for ratios with two matrices
hhat2_1j_v Coefficients in polynomial expansion of generating function-for ratios with two matrices
hhat2_pj Coefficients in polynomial expansion of generating function-for ratios with two matrices
hhat2_pj_m Coefficients in polynomial expansion of generating function-for ratios with two matrices
hhat2_pj_v Coefficients in polynomial expansion of generating function-for ratios with two matrices
hhat3_pjk Coefficients in polynomial expansion of generating function-for ratios with three matrices
hhat3_pjk_m Coefficients in polynomial expansion of generating function-for ratios with three matrices
hhat3_pjk_v Coefficients in polynomial expansion of generating function-for ratios with three matrices
htil2_1j Coefficients in polynomial expansion of generating function-for ratios with two matrices
htil2_1j_m Coefficients in polynomial expansion of generating function-for ratios with two matrices
htil2_1j_v Coefficients in polynomial expansion of generating function-for ratios with two matrices
htil2_pj Coefficients in polynomial expansion of generating function-for ratios with two matrices
htil2_pj_m Coefficients in polynomial expansion of generating function-for ratios with two matrices
htil2_pj_v Coefficients in polynomial expansion of generating function-for ratios with two matrices
htil3_pjk Coefficients in polynomial expansion of generating function-for ratios with three matrices
htil3_pjk_m Coefficients in polynomial expansion of generating function-for ratios with three matrices
htil3_pjk_v Coefficients in polynomial expansion of generating function-for ratios with three matrices

-- I --

IpBDqr_gen_cmE Internal C++ functions
IpBDqr_gen_cmEc Internal C++ functions
IpBDqr_gen_cmEl Internal C++ functions
IpBDqr_gen_cvE Internal C++ functions
IpBDqr_gen_cvEc Internal C++ functions
IpBDqr_gen_cvEl Internal C++ functions
IpBDqr_gen_nmE Internal C++ functions
IpBDqr_gen_nmEc Internal C++ functions
IpBDqr_gen_nmEl Internal C++ functions
IpBDqr_gen_nvE Internal C++ functions
IpBDqr_gen_nvEc Internal C++ functions
IpBDqr_gen_nvEl Internal C++ functions
iseq Are these vectors equal?
is_diagonal Is this matrix diagonal?

-- K --

KiK Matrix square root and generalized inverse

-- M --

methods.qfrm Methods for qfrm and qfpm objects

-- N --

new_qfpm Construct qfrm object
new_qfrm Construct qfrm object

-- P --

plot.qfrm Methods for qfrm and qfpm objects
print.qfpm Methods for qfrm and qfpm objects
print.qfrm Methods for qfrm and qfpm objects

-- Q --

qfmrm Moment of multiple ratio of quadratic forms in normal variables
qfmrm_ApBDqr_int Moment of multiple ratio of quadratic forms in normal variables
qfmrm_ApBDqr_npi Moment of multiple ratio of quadratic forms in normal variables
qfmrm_ApBIqr_int Moment of multiple ratio of quadratic forms in normal variables
qfmrm_ApBIqr_npi Moment of multiple ratio of quadratic forms in normal variables
qfmrm_IpBDqr_gen Moment of multiple ratio of quadratic forms in normal variables
qfm_Ap_int Moment of (product of) quadratic forms in normal variables
qfpm Moment of (product of) quadratic forms in normal variables
qfpm_ABDpqr_int Moment of (product of) quadratic forms in normal variables
qfpm_ABpq_int Moment of (product of) quadratic forms in normal variables
qfrm Moment of ratio of quadratic forms in normal variables
qfrm_ApBq_int Moment of ratio of quadratic forms in normal variables
qfrm_ApBq_npi Moment of ratio of quadratic forms in normal variables
qfrm_ApIq_int Moment of ratio of quadratic forms in normal variables
qfrm_ApIq_npi Moment of ratio of quadratic forms in normal variables
qfrm_cpp Internal C++ functions

-- R --

rqfmr Monte Carlo sampling of ratio/product of quadratic forms
rqfp Monte Carlo sampling of ratio/product of quadratic forms
rqfpE Internal C++ functions
rqfr Monte Carlo sampling of ratio/product of quadratic forms

-- S --

sum_counterdiag Summing up counter-diagonal elements
sum_counterdiag3D Summing up counter-diagonal elements
S_fromUL Make covariance matrix from eigenstructure

-- T --

tr Matrix trace function