  Recently, there has been a lot of attention devoted to resolving the quantum
corrections to the Bekenstein-Hawking entropy of the black hole. In particular,
the coefficient of the logarithmic term in the black hole entropy correction
has been of great interest. In this paper, the black hole is corresponded to a
canonical ensemble in statistics by radiant spectrum, resulted from the black
hole tunneling effect studies and the partition function of ensemble is
derived. Then the entropy of the black hole is calculated. When the first order
approximation is taken into account, the logarithmic term of entropy correction
is consistent with the result of the generalized uncertainty principle. In our
calculation, there are no uncertainty factors. The prefactor of the logarithmic
correction and the one if fluctuation is considered are the same. Our result
shows that if the thermal capacity is negative, there is no divergent term. We
provide a general method for further discussion on quantum correction to
Bekenstein-Hawking entropy. We also offer a theoretical basis for comparing
string theory and loop quantum gravitaty and deciding which one is more
reliable.
