  Recent wide area hard X-ray and soft Gamma ray surveys have shown that the
fraction of X-ray obscured AGNs in the local universe significantly decreases
with intrinsic luminosity. In this letter we point out that two correction have
to be made to the samples: 1) radio loud AGNs have to be excluded since their
X-ray emission might be dominated by the jet component; 2) Compton thick
sources have to be excluded too since their hard X-ray and soft gamma ray
emission are also strongly attenuated by Compton scattering. The soft gamma-ray
selected AGN samples obtained by SWIFT and INTEGRAL provide the best
opportunity to study the fraction of obscured AGN in the local universe in the
least biased way. We choose these samples to check if the corrections could
alter the above result on the fraction of obscured AGNs. We find that before
the corrections both samples show significant anti-correlation between L_X and
N_H, indicating obvious decrease in the fraction of obscured AGNs with
luminosity. However, after the corrections, we find only marginal evidence of
anti-correlation (at 98% confidence level) in the SWIFT sample, and no evidence
at all in the INTEGRAL sample which consists of comparable number of objects.
We conclude that current samples only show a marginal decrease in the fraction
of obscured AGNs in the local universe, and much larger samples are required to
reach a more robust conclusion.
