This paper gives the derivation of the Bivariate Stochastic Functional Form (BSFF), which may be seen as the direct generalization of the linear regression model. The derivation does not involve complex mathematical tools such as stochastic calculus. It extends the derivation of the univariate...

In this paper, we introduce a new family of univariate continuous distributions called the Gamma Kumaraswamy-generated family of distributions. Most of its properties are studied in detail, including skewness, kurtosis, analytical comportments of the main functions, moments, stochastic ordering...

A statistical inference for ruin probability from a certain discrete sample of the surplus is discussed under a spectrally negative Lévy insurance risk. We consider the Laguerre series expansion of ruin probability, and provide an estimator for any of its partial sums by computing the...