When the critical current of bent Bi2223 composite tape is measured for many specimens, the critical current value is different from specimen to specimen, being distributed from low to high values. We need to characterize the distribution of critical current at various applied strains and also to predict the distribution of irreversible strain for reliability and safe design. The present work attempted to describe them from the statistical viewpoint. In the analysis, the unifying parameter approach proposed recently by the authors was employed, in which the difference in damage evolution and critical current among the specimens was correlated with the distribution of the unifying parameter that refers to the tensile damage strain of Bi2223 filaments in composite tapes. By application of this approach to the measured critical current values under various bending strains for three Bi2223 composite tapes from different suppliers (VAM1, VAM2 and VAM3 used as the common test samples in the round robin test of VAMAS/TWA16), the unifying parameters were estimated and were formulated by the Weibull distribution function. With the formulated distribution function of the unifying parameter, the distributions of the critical current at various strains, the distribution of the irreversible bending strain and the average critical current-bending strain relation near the average irreversible bending strain could be described satisfactorily.