grad_l_mvn: Gradient Vector of the Multivariate Normal Distribution -...

In jeksterslab/gammaMatrix: Asymptotic Covariance Matrix of Covariances

Description

Calculates gradient vector of the log of the likelihood function of the multivariate normal distribution for the ith observation.

Usage

grad_l_mvn(x, theta)

Arguments

x	Numeric vector of length k. The ith vector of observations.
theta	Numeric vector. Parameter vector \boldsymbol{θ} = ≤ft\{ \boldsymbol{μ}, \mathrm{vech} ≤ft( \boldsymbol{Σ} \right) \right\}^{\prime}

Value

A vector.

See Also

Other Multivariate Normal Distribution Functions: grad_l_mvn_generic(), hess_l_mvn_generic(), hess_l_mvn(), l_mvn_generic(), l_mvn(), mvn_theta_helper(), negl_mvn(), rmvn_chol()

Examples

n <- 5
mu <- c(0, 0)
sigmacap <- matrix(
  data = c(
    1, 0.5, 0.5, 1
  ),
  nrow = 2
)

xcap <- as.data.frame(
  t(
    rmvn_chol(
      n = n,
      mu = mu,
      sigmacap = sigmacap
    )
  )
)

theta <- c(
  mu,
  vech(sigmacap)
)

lapply(
  X = xcap,
  FUN = grad_l_mvn,
  theta = theta
)

jeksterslab/gammaMatrix documentation built on Dec. 20, 2021, 10:10 p.m.