Abstract
The first asymptotic probability function of the smallest values proposed by Kase is not satisfactorily applicable to the distributions of tensile data for all types of vulcanized rubbers.
From a statistical point of view, another distribution function, the third asymptotic probability function was introduced in the present paper. By using the past tensile data of Gorcorn et al., the applicability of this function to the distributions was verified to be reasonable.
In general, the third asymptote contains three parameters, the characteristic value V, the lower limit ε, and the scale parameter1/α, which has no dimension. The values of these parameters were found to be systematically variable with the type of rubber used.