Persistent homology

Benktander distribution of the first kind

Related distributions

$\underset{b\to 0}{\lim }\mathrm{B}\mathrm{e}\mathrm{n}\mathrm{k}\mathrm{t}\mathrm{a}\mathrm{n}\mathrm{d}\mathrm{e}\mathrm{r}(a,b)\sim \mathrm{P}\mathrm{a}\mathrm{r}\mathrm{e}\mathrm{t}\mathrm{o}(1,a+1).$

References

• Kleiber, Christian; Kotz, Samuel (2003) Statistical size distributions in economics and actuarial sciences, Wiley-Interscience, ISBN 0-471-15064-9
• Benktander, G.; Seherdahl, C.O. (1960) "On the analytical representation of claim distributions with special reference to excess-of-loss reinsurance". Trans. 16-th Intern. Congress Actuaries, 626-646.

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