We use the extensive public archive of ROSAT High Resolution Imager (HRI) o
bservations to carry out a statistical investigation of the X-ray propertie
s of nearby galaxies. Specifically we focus on the sample of 486 bright (B(
T)less than or equal to 12.5) northern galaxies studied by Ho, Filippenko a
nd Sargent (HFS) in the context of their exploration of the optical spectro
scopic properties of nearby galactic nuclei. Over 20 per cent of HFS galaxi
es are encompassed in ROSAT HRI fields of reasonable (greater than or equal
to 10 ks) exposure. The X-ray sources detected within the optical extent o
f each galaxy are categorized as either nuclear or non-nuclear, depending o
n whether the source is positioned within or outside a 25-arcsec radius cir
cle centred on the optical nucleus.
A nuclear X-ray source is detected in over 70 per cent of the galaxies harb
ouring either a Seyfert or LINER nucleus, compared with a detection rate of
only similar to 40 per cent in less active systems. The correlation of the
H alpha luminosity with nuclear X-ray luminosity previously observed in QS
Os and bright Seyfert 1 galaxies appears to extend down into the regime of
ultra-low luminosity (L(X)similar to 10(38)-10(40) erg s(-1)) active galact
ic nuclei (AGN). The inferred accretion rates for this sample of low-lumino
sity AGN are significantly sub-Eddington.
In total, 142 non-nuclear sources were detected. In combination with publis
hed data for M31, this leads to a luminosity distribution (normalized to an
optical blue luminosity of 10(10) L.) for the discrete X-ray source popula
tion in spiral galaxies of the form dN/dL(38) = (1.0 +/- 0.2)L-38(-1.8) whe
re L-38 is the X-ray luminosity in units of 10(38) erg s(-1). The implied L
XLB ratio is similar to 1.1x10(39) erg s(-1)(10(10) L.)(-1). The nature of
the substantial number of 'superluminous' non-nuclear objects detected in t
he survey is discussed.