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
Actuarial science is the discipline that applies mathematics, mathematical and statistics, statistical methods to Risk assessment, assess risk in insurance, pension, finance, investment and other industries and professions.
Actuary, Actuaries a ...
, using various forms of mean excess functions . The distribution of the first type is "close" to the
log-normal distribution
In probability theory, a log-normal (or lognormal) distribution is a continuous probability distribution of a random variable whose logarithm is normal distribution, normally distributed. Thus, if the random variable is log-normally distributed ...
.
See also
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log-normal distribution
In probability theory, a log-normal (or lognormal) distribution is a continuous probability distribution of a random variable whose logarithm is normal distribution, normally distributed. Thus, if the random variable is log-normally distributed ...
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Benktander type II distribution
Notes
References
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{{ProbDistributions, continuous-semi-infinite
Continuous distributions