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# function returns a Jacobian matrix (a term-by-beta matrix)
jacobian <- function(FUN, coefficients, weights = NULL, eps = 1e-7) {
F0 <- FUN(coefficients, weights = weights)
out <- matrix(NA_real_, nrow = length(F0), ncol = length(coefficients))
colnames(out) <- names(coefficients)
rownames(out) <- names(F0)
for (i in seq_along(coefficients)) {
coeftemp <- coefficients
coeftemp[i] <- coeftemp[i] + eps
out[, i] <- (FUN(coeftemp, weights = weights) - F0) / eps
}
out
}
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