Zij: Calculate element Z_i,j
In MatthewHeun/LMDIR: Log Mean Divisia Index Decomposition in R

Zij	R Documentation

Calculate element `⁠Z_i,j⁠`

Description

There are many special cases for calculating the ⁠i,j⁠th term in Z. These special cases must be handled on a term-by term basis. This function handles all those cases. See Z_byname() for details. The X matrices must be same size, must have same row and column names, and must have same row and column types. Note that i and j must be positive and less than or equal to nrow(X) and ncol(X), respectively.

Usage

Zij(
  i = NULL,
  j = NULL,
  X_0 = NULL,
  X_T = NULL,
  v_0i1 = matsbyname::rowprods_byname(X_0)[i, 1],
  v_Ti1 = matsbyname::rowprods_byname(X_T)[i, 1],
  X_0ij = X_0[i, j],
  X_Tij = X_T[i, j]
)

Arguments

`i`	optional row index for `X_0` and `X_T`.
`j`	optional column index for `X_0` and `X_T`.
`X_0`	optional sub-sector by factor matrix for time 0.
`X_T`	optional sub-sector by factor matrix for time T.
`v_0i1`	the i,1th element of the `v_0` column vector. (v_0 is formed from the row products of the `X_0` matrix.)
`v_Ti1`	the i,1th element of the `v_T` column vector. (v_T is formed from the row products of the `X_T` matrix.)
`X_0ij`	the i,jth element of the `X_0` matrix
`X_Tij`	the i,jth element of the `X_T` matrix