method: character vector that specifies the estimation method: "gs" for gradient search (default) and "df" for Nelder-Mead.
LP_tol_ll: tolerance expressed as absolute change of the log-likelihood.
LP_tol_theta: tolerance expressed as absolute change of theta
check_theta: logical flag. If TRUE the algorithm performs an additional check on the change in the estimates.
LP_step: step size (default standard deviation of response).
beta: decreasing step factor for line search (0,1).
gamma: nondecreasing step factor for line search (>= 1).
reset_step: logical flag. If TRUE the step size is reset to the initial value at each iteration.
LP_max_iter: maximum number of iterations
UP_tol: tolerance expressed as absolute change of the scale parameter.
UP_max_iter: maximum number of iterations.
startQR: logical flag. If FALSE (default) the least squares estimate of the fixed effects is used as starting value of theta_x and scale. If TRUE the lqm estimate is used.
verbose: logical flag.
Details
LP (lower loop) refers to the estimation of regression coefficients and variance-covariance parameters. UP (upper loop) refers to the estimation of the scale parameter.