  The possibility that long gamma-ray burst (GRB) jets are structured receives
growing attention recently, and we have suggested that most GRBs and their
softer, less energetic fraternity, X-ray flashes (XRFs), can be understood
within a quasi-universal structured jet picture, given that the jet structure
for each individual burst is a Gaussian or similar function. Here we perform a
global test on such a quasi-universal Gaussian-like structured jet by comparing
Monte-Carlo simulation results with a broad spectrum of observational data.
Using the same set of input parameters as in the previous work (Zhang et al.
2004), we confront the model with more observational constraints. These
constraints include the burst redshift distribution, jet break angle
distribution, two-dimensional redshift vs. jet break angle distribution,
luminosity function, and Log N - Log P distribution. The results indicate that
the model is generally compatible with the data. This conclusion, together with
our previous tests with the observed jet break angle vs. isotropic energy and
observed peak energy vs. fluence relations, suggests that current long GRB and
XRF data are generally consistent with such a quasi-standard-energy and
quasi-standard-angle jet picture. With future homogeneous burst samples (such
as the one to be retrieved from the Swift mission), the refined GRB jet
structure can be further constrained through a global comparison between
various observed and predicted burst property distributions and relations.
