  An analytical expression of probability density function (PDF) of velocity
fluctuation is derived with the help of the statistics based on generalized
entropy (the Tsallis entropy or the R\'{e}nyi entropy). It is revealed that the
derived PDF explains the detailed structure of experimentally observed PDF as
well as the scaling exponents of velocity structure function. Every parameters
appeared in the analysis, including the index proper to the Tsallis entropy or
the R\'{e}nyi entropy, are determined, self-consistently, by making use of
observed value of intermittency exponent. The experiments conducted by Lewis
and Swinney (1999) are analyzed.
