emp_W {sinar}

Empirical estimate for the matrix W in the Klimko-Nelson.

Description

emp_W is the matrix in the Klimko-Nelson seminal paper. Basically, we know

\sqrt{n}(\hat{a}_{10} - a_{10}, \hat{a}_{01} - a_{01}, \hat{a}_{11} - a_{11}, \hat{\mu}_\epsilon - \mu_\epsilon)^\top \sim MNV(0, \Sigma)

where

\Sigma = V^{-1}W V^{-1}.

For more details, check Klimko and Nelson (1978).

Usage

emp_W(X)

Arguments

X

A integer matrix where each cell is the observed value in the regular lattice.

Value

The matrix W estimated empirically.

Examples

data("nematodes")
emp_V(nematodes)