priori unknown. A Gaussian-like exponential function was chosen, which was confirmed by high energy synchrotron x-ray diffraction measurements $^{23}$. Since α is restricted to [0 , 90 $^{◦}$], the density distribution function has to be renormalized numerically 22 and is formally not a true Gaussian distribution. This implies that α$_{t}$ is no longer the standard deviation of the distribution or an average misalignment angle, which are restricted to angles below 90 $^{◦}$, but only a parameter which characterizes the decrease of the density distribution function between 0 and 90 ◦ and, therefore, the degree of texture. α$_{t}$ converges to zero in the limit of perfect texture and diverges in untextured materials ( f$_{a}$ becomes constant between 0 and 90 ◦ for α$_{t}$ → ∞ , uniform distribution). Only a few quantitative data about texture in MgB$_{2}$ tapes exist in the literature, varying between 20 ◦ and 30 ◦ $^{5,23}$, but the model is not restricted to this angular range. For α$_{t}$ → 0 and ∞ , the results of the model merge the predictions of the anisotropic scaling approach 35 and the percolation model for untextured MgB$_{2}$ $^{14}$, respectively. For the calculation of the angular dependence of J$_{c}$ , B$_{c2}$ and B$_{ρ}$$_{=0}$ , the density distribution function with respect to the direction of the applied magnetic field is needed, which was derived from the distribution function Equ. 1 in Ref. 22. All following calculations are based on this density distribution function. At first we focus on the anisotropy of the zero resistivity (irreversibility) field B$_{ρ}$$_{=0}$ . This quantity is less model dependent than J$_{c}$ . It is independent of the pinning mechanism, the transport exponent and anisotropic scaling. Only the angular dependence of the upper criti- cal field has to be known. Good agreement with the theoretical prediction of the anisotropic Ginzburg Landau theory $^{36}$, was demonstrated $^{10,13,37,38}$. It was shown in Ref. 16, that B$_{ρ}$$_{=0}$ in untextured materials is given by 4 B$_{ρ}$$_{=0}$ = B ab c2 √ ( γ 2 − 1) p 2 c + 1 . (3) B$_{c2}$ ( θ ) = B ab $_{c2}$/ √ γ 2 cos 2 ( θ ) + sin $^{2}$( θ ) , (2) f$_{a}$ ( α ) ∝ $^{exp(}$− α 2 2 α 2 t ) (1) III. RESULTS AND DISCUSSION