Support functions for fitting four-parameter kappa sigmoidal curves.
kappa4NLSobj(parms, xvec, y, x_min, x_max)kappa4NLScon(parms, xvec, y, x_min, x_max)
kappa4NLShin(parms, xvec, y, x_min, x_max)
kappa4NLSheq(parms, xvec, y, x_min, x_max)
kappa4ALobj(parms, al_samp, x_min, x_max, q1, q2)
kappa4ALcon(parms, al_samp, x_min, x_max, q1, q2)
kappa4ALhin(parms, al_samp, x_min, x_max, q1, q2)
kappa4ALheq(parms, al_samp, x_min, x_max, q1, q2)
A numeric vector of parameters to be estimated.
A numeric vector of independent observations.
A numeric vector of dependent observations.
The minimum xvec value.
The maximum xvec value.
The sample arc length statistic.
Numeric vectors, for the lower and upper bounds of the intervals over which arc lengths are to be computed.
kappa4NLSobj: The nonlinear least squares objective function.
kappa4NLScon: A vector with three conditions evaluated.
kappa4NLShin: A vector specifying a single nonlinear inequality constraint.
kappa4NLSheq: A vector specifying two nonlinear equality constraints.
kappa4ALobj: The arc length objective function.
kappa4ALcon: A vector with three conditions evaluated.
kappa4ALhin: A vector specifying a single nonlinear inequality constraint.
kappa4ALheq: A vector specifying two nonlinear equality constraints.