Tsao (1974) derived a statistical model for the relative error in chopped floating point computations as = U/Z, where U is uniformly distributed on 0, Bd independently of Z whose density is...

Tsao (1974) derived a statistical model for the relative error in chopped floating point computations as = U/Z, where U is uniformly distributed on 0, B−d independently of Z whose density is 1/(loge(B)z) on [1/B, 1). Is the confidence interval (0, m), where P r(U/Z ≤ m) = .95, substantially different from the bound B1−d given in Section 2.5?