Function used within est_multi_glob to invert marginal logits and fit the marginal
regression model; this is an internal function.
inv_glob(eta, type = "g", der = F)vector of logits
type of logit (l = local-logits, g = global-logits)
indicator that the derivative of the canonical parameters with respect to the vector of marginal logits is required (F = not required, T = required)
vector of probabilities
derivative of the canonical parameters with respect to the vector of marginal logits (if der = T)
Colombi, R. and Forcina, A. (2001), Marginal regression models for the analysis of positive association of ordinal response variables, Biometrika, 88, 1007-1019.
Glonek, G. F. V. and McCullagh, P. (1995), Multivariate logistic models, Journal of the Royal Statistical Society, Series B, 57, 533-546.