We combine our previous optical spectroscopic and photometric analysis
of similar to 1600 stars located in the Orion Nebula Cluster (ONC) wi
th our own and published near-infrared photometric surveys of the regi
on in order to investigate the evidence for and properties of circumst
ellar disks. We use the near-infrared continuum excess as our primary
disk diagnostic, although we also study sources with Ca II triplet emi
ssion and those designated as ''proplyds.'' The measured near-infrared
excess is influenced by (1) the presence or absence of a circumstella
r disk, (2) the relative importance of disk accretion and inner disk h
oles, (3) the relative contrast between photospheric and disk emission
, and (4) system inclination. After attempting to understand the effec
ts of these influences, we estimate the frequency of circumstellar dis
ks and discuss the evidence for trends in the disk frequency with stel
lar mass (over the mass range < 0.1-50 M-.), stellar age (over the age
range < 0.1-2 Myr), and projected cluster radius (over the radial ran
ge 0-3 pc). We find that the fraction of stars retaining their inner (
< 0.1 AU) circumstellar disks to the present time is at least 55% and
probably no more than 90%, averaged over the entire range in stellar m
ass and stellar age represented in the ONC and over the entire area of
our survey. We find no trend in the disk fraction with stellar age, a
t least not over the limited age range of the cluster. We find that mo
re massive stars are less likely to have disks, consistent with a scen
ario in which the evolutionary timescales are more rapid for disks sur
rounding more massive stars than for disks surrounding less massive st
ars. We also find that the disk frequency begins to decrease toward th
e lowest masses, although objects of all masses (including those that
appear to be substellar) can have disks. We find that the disk frequen
cy increases toward the cluster center. We then argue, using several l
ines of evidence, that a large fraction of the disks associated with s
tars in the ONC are accretion disks. The observed trends with stellar
age, stellar mass, and projected cluster radius in the disk frequency
may, in fact, be driven primarily by trends in the disk accretion prop
erties. From the magnitude of the near-infrared excess above that expe
cted from pure irradiation disks, we find an accretion disk fraction a
mong the stars identified as having disks of 61%-88%. In addition, app
roximately 20% of the stars in our optical spectroscopic sample show b
road (several hundred km s(-1) FWHM) Ca II emission lines, which are f
eatures often associated with accretion disk/wind phenomena; another 5
0% of the sample have Ca II lines that (at our spectral resolution) ar
e ''filled in,'' indicating an independently derived accretion disk fr
equency of similar to 70%. Finally, we discuss the near-infrared and o
ptical emission-line properties of that portion of our sample identifi
ed from Hubble Space Telescope imaging as having a dark silhouette or
an externally ionized structure. This sample, proposed in the literatu
re to have accretion disks, appears to be no different in terms of its
stellar or circumstellar properties from the rest of the ONC populati
on. The only feature distinguishing these objects from their ONC sibli
ngs thus may be their current (but short-lived) proximity to the massi
ve stars near the cluster center.