On Parameter Estimation for Spatial Point Processes

is intended to complement K(t). To assess goodness-of-fit, the empirical counterparts k(t) and p(t) calculated from a set of data are compared with those from simulations of the proposed, fully specified model, as suggested by Barnard (1963). Ripley does not discuss the associated problem of parameter estimation, but this can easily be incorporated into the general methodology as follows: let F(t; 0) be any suitable summary of the model with parameter 0, t(t) the empirical counterpart calculated from the data and t(O) some appropriate measure of the discrepancy between F(-) and t(*), for example