This paper examines a compound collective risk model in which the primary distribution comprised the Poisson–Lindley distribution with a λ parameter, and where the secondary distribution is an exponential one with a θ parameter. We consider the case of dependence between risk profiles (i.e.,...

In Bayesian analysis it is usual to assume that the risk profiles [Theta]1 and [Theta]2 associated with the random variables "number of claims" and "amount of a single claim", respectively, are independent. A few studies have addressed a model of this nature assuming some degree of dependence...

Populations where items are error free are found in many areas of applied statistics, such as auditing and actuarial science. Decisions are then made by inferring the total error in a population. This parameter is usually modelled by two parametric structures under the assumption of prior...