Over the past several decades, human life expectancy has been increasing rather consistently, driving concerns about longevity risk for pension plans and annuity providers. While extrapolative methods assume continued mortality declines, recent years have seen stagnation or even declines in life...

In this paper, we develop a number of new composite models for modelling individual claims in general insurance. All our models contain a Weibull distribution for the smallest claims, a lognormal distribution for the medium-sized claims, and a long-tailed distribution for the largest claims....