It is well-known that combining life annuities and death benefits introduce opposite effects in payments with respect to the unsystematic mortality risk on lifetime of insured. In a general multi-state framework multiple product types, such joint are less trivial. this paper, we consider multivariate payment process insurance, where components defined terms same Markovian state process. The pre...

The main criterion in investment decisions is to maximize the investors utility. Traditional capital asset pricing models cannot be used when asset returns do not follow a normal distribution. For this reason, we use capital asset pricing model with independent and identically asymmetric power distributed (CAPM-IIAPD) and capital asset pricing model with asymmetric independent and identically a...

Order statistics arising from exponentiated gamma (EG) distribution are considered. Closed from expressions for the single and double moments of order statistics are derived. Measures of skewness and kurtosis of the probability density function of the rth order statistic for different choices of r, n and /theta are presented. Recurrence relations between single and double moments of r...