Benktander type I distribution explained

The Benktander type I distribution is one of two distributions introduced by Gunnar to model heavy-tailed losses commonly found in non-life/casualty actuarial science, using various forms of mean excess functions . The distribution of the first type is "close" to the log-normal distribution .

See also

• log-normal distribution
• Benktander type II distribution

References

• Book: Kleiber . Christian . Kotz . Samuel . Samuel Kotz . 2003 . 7.4 Benktander Distributions . Statistical Size Distributions in Economics and Actuarial Science . Wiley Series and Probability and Statistics . . 247–250 . 9780471457169.
• Benktander. Gunnar. Segerdahl. Carl-Otto. 1960. On the Analytical Representation of Claim Distributions with Special Reference to Excess of Loss Reinsurance. Proceedings of the XVIth International Congress of Actuaries, Brussels, 1960. 626–646.
• Benktander. Gunnar. 1970. German. Schadenverteilungen nach Grösse in der Nicht-Lebensversicherung. Loss Distributions by Size in Non-life Insurance. Bulletin of the Swiss Association of Actuaries. 263–283.