Kernel Density Estimation for Random Symmetric Positive Definite Matrices


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Documentation for package ‘ksm’ version 1.0

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bandwidth_optim Bandwidth optimization for symmetric matrix kernels
dinvWishart Density of inverse Wishart random matrix
dmbeta2 Matrix beta type II density function
dsmlnorm Symmetric matrix-variate lognormal density
dsmnorm Symmetric matrix-variate normal density
dWishart Density of Wishart random matrix
integrate_spd Integration with respect to symmetric positive definite matrices
kdens_smlnorm Symmetric matrix log-normal kernel density
kdens_smnorm Symmetric matrix normal kernel density
kdens_symmat Kernel density estimators for symmetric matrices
kdens_Wishart Wishart kernel density
lcv_kdens_symmat Likelihood cross-validation for symmetric positive definite matrix kernels
lcv_kern_smlnorm Likelihood cross validation criterion for symmetric matrix lognormal kernel
lcv_kern_smnorm Likelihood cross validation criterion for symmetric matrix normal kernel
lcv_kern_Wishart Likelihood cross validation criterion for Wishart kernel
lscv_kern_smlnorm Least square cross validation criterion for log symmetric matrix normal kernel
lscv_kern_Wishart Least square cross validation criterion for Wishart kernel
mgamma Multivariate gamma function
realvar Realized variance of Amazon and SPY
Riccati Solver for Riccati equation
rinvWishart Random matrix generation from the inverse Wishart distribution
rmbeta2 Random matrix generation from matrix beta type II distribution
rmnorm Random vector generation from the multivariate normal distribution
rWAR Random matrix generation from first-order autoregressive Wishart process
rWishart Random matrix generation from Wishart distribution
symmetrize Symmetrize matrix