| Abstract: | This paper presents a number of characterizations of the WEIBULL distribution. Some of these results are generalizations of the corresponding results for the exponential distribution. Some characterizing properties lead to a functional equation f(x) · f(y) = f((xc+yc)i/c) which is analogous to the CAUCHY functional equation. While the first two characterizations assume somewhat less accessible information concerning the probability distribution, the third and fourth require more readily available information regarding the expected values. |
