  Observations of binary inspiral in a single interferometric gravitational
wave detector can be cataloged according to signal-to-noise ratio $\rho$ and
chirp mass $\cal M$. The distribution of events in a catalog composed of
observations with $\rho$ greater than a threshold $\rho_0$ depends on the
Hubble expansion, deceleration parameter, and cosmological constant, as well as
the distribution of component masses in binary systems and evolutionary
effects. In this paper I find general expressions, valid in any homogeneous and
isotropic cosmological model, for the distribution with $\rho$ and $\cal M$ of
cataloged events; I also evaluate these distributions explicitly for relevant
matter-dominated Friedmann-Robertson-Walker models and simple models of the
neutron star mass distribution. In matter dominated Friedmann-Robertson-Walker
cosmological models advanced LIGO detectors will observe binary neutron star
inspiral events with $\rho>8$ from distances not exceeding approximately
$2\,\text{Gpc}$, corresponding to redshifts of $0.48$ (0.26) for $h=0.8$
($0.5$), at an estimated rate of 1 per week. As the binary system mass
increases so does the distance it can be seen, up to a limit: in a matter
dominated Einstein-deSitter cosmological model with $h=0.8$ ($0.5$) that limit
is approximately $z=2.7$ (1.7) for binaries consisting of two
$10\,\text{M}_\odot$ black holes. Cosmological tests based on catalogs of the
kind discussed here depend on the distribution of cataloged events with $\rho$
and $\cal M$. The distributions found here will play a pivotal role in testing
cosmological models against our own universe and in constructing templates for
the detection of cosmological inspiraling binary neutron stars and black holes.

General Relativity and Quantum Cosmology;Astrophysics