# How did Weibull derive the three parameter Weibull distribution?

How did Weibull or any other mathematician arrive at the above expression? I saw the 1951 paper, but it is not clear to me. In 1939 he had published a book called "A Statistical Theory of the Strength of Materials", and I am currently searching for this book. In the meantime can anyone explain me.

• Not a book so much as a journal article: W. WEIBULL, "A statistical theory of the strength of materials," Ing. Vetenskaps Akad … 293-297. appearing in a Swedish engineering journal. Feb 23 '20 at 19:34

Two of the 3 parameters, $$\gamma$$ and $$\eta$$ (this is me talking, not Lindquist) are location and scale parameters, more or less inevitable in any technological application. The third, $$\beta$$ is the interesting one.