We extend the recent work of Sirovich, Smith, and Yakhot (unpublished) and obtain for structure functions of arbitrary order an expression that is uniformly valid for the dissipation as well as the inertial range of scales. We compare the expression with experimental data obtained in a moderate-Reynolds-number turbulent boundary layer and find good agreement. This enables a more definitive determination of the scaling exponents and intermittency corrections than has been possible in the past. The results are substantiated by several consistency checks