Skip to contents

Where the accumulator starts, as a distribution over the rescaled state at time zero. bias is the relative start point in (0, 1), the fraction of the boundary separation above the lower boundary, exactly as in wiener(); 0.5 is unbiased.

Usage

gddm_start_point()

gddm_start_uniform()

Value

A gddm_component.

Details

gddm_start_point()

All mass at bias. Free parameter bias, logit link.

gddm_start_uniform()

Uniform on an interval of half-width sz around bias, with sz measured as a fraction of the half separation. Free parameters bias and sz, both logit link. This is the tape-safe counterpart of the Ratcliff start-point variability, which the analytic family can only reach by quadrature.

A point start is a delta function, which no fixed grid can hold. Both components spread the initial mass with the same cubic B-spline used for the non-decision-time shift, so the starting distribution is smooth in bias and no grid index depends on a parameter. Both are then normalized to unit mass on the grid, which also keeps the family honest when bias and sz together push mass past a boundary.

Writing your own

A start term is the value of gddm_start_term(). Its fn is called as fn(y, h, p), where y are the rescaled grid nodes on (-1, 1) and h is the node spacing, and it returns a density at those nodes.