Long-term X-ray variability of the low-luminosity active galactic nucleus o
f M81 was studied, using 16 ASCA observations spanning 5.5 yr. The object e
xhibits a factor of 3 variation over the 5.5 yr. The source intensity was r
elatively constant within each observation which lasted typically for one d
ay, but intra-day variability by 30 per cent was detected on the 15th obser
vation. The power-spectral density (PSD) was estimated in a 'forward' manne
r, over a frequency range of 10(-8.2)-10(-4.3) Hz (period range of 0.25 d-5
.5 yr), by utilizing the structure function and extensive Monte Carlo simul
ations in order to overcome the very sparse and uneven data samplings. When
the PSD is assumed to be white below a 'break frequency' f(b) and falls of
f as proportional to f(-alpha) above f(b), where f is frequency and alpha i
s a positive parameter, the M81 light curve is well described with 1/f(b)gr
eater than or equal to 800 d and alpha =1.4 +/-0.2.