  We present statistical analysis of a fluence limited sample of over 1100
giant pulses from the Crab pulsar, with fluence > 130 Jy ms at ~1330 MHz. These
were detected in ~260 hours of observation with the National Centre for Radio
Astrophysics (NCRA)-15m radio telescope. We find that the pulse energy
distribution follows a power law with index $\alpha\approx$-3 at least up to a
fluence of ~5 Jy s. The power law index agrees well with that found for lower
energy pulses in the range 3-30 Jy ms. The fluence distribution of the Crab
pulsar hence appears to follow a single power law over ~3 orders of magnitude
in fluence. We do not see any evidence for the flattening at high fluences
reported by earlier studies. We also find that at these fluence levels, the
rate of giant-pulse emission varies by as much as a factor of ~5 on time-scales
of a few days, although the power law index of the pulse-energy distribution
remains unchanged. The slope of the fluence distribution for Crab giant pulses
is similar to that recently determined for the repeating FRB 121102. We also
find an anti-correlation between the pulse fluence and the pulse width, so that
more energetic pulses are preferentially shorter.
