Publication date: Available online 15 December 2016
Source:Insurance: Mathematics and Economics
Author(s): Serkan Eryilmaz
In this paper, we study the compound random variable when there is a dependence between a random variable and a sequence of random variables . Such a compound random variable has been found to be useful in several fields including actuarial science, risk management, and reliability. In particular, we develop some results on distributional properties of the random variable when is a phase-type random variable that is defined on a sequence of binary trials and depends on . We present illustrative examples and an application for the use of results in actuarial science.
Source:Insurance: Mathematics and Economics
Author(s): Serkan Eryilmaz