This paper investigates the ordering properties of the largest claim amounts and sample
ranges arising from two sets of heterogeneous portfolios. First, some sufficient conditions are …

In the context of insurance, the smallest and largest claim amounts turn out to be crucial to
insurance analysis since they provide useful information for determining annual premium. In …

In this manuscript, we consider a risk-preference investor allocating some amount of capital
to the dependent risky asset, where the responding asset will occur default if the stochastic …

In the context of actuarial science, the second largest claim amount is crucial to insurance
analysis since they provide useful information for determining annual premium. In this …

In engineering applications, many reliability systems can be modeled as k‐out‐of‐n systems
with components having random weights. Before putting such kind of system into a working …

Let X λ 1,…, X λ n be independent and non-negative random variables belong to the
transmuted-G model and let Y i= I pi X λ i, i= 1,…, n, where I p 1,…, I pn are independent …

In the context of industrial engineering, cold‐standby redundancies allocation strategy is
usually adopted to improve the reliability of coherent systems. This paper investigates …

In risk theory, the distribution of extreme claim amounts of dependent risks is an essential
element, since it provides valuable information to companies for develo** risk reduction …

It is a common belief for actuaries that the heterogeneity of claim severities in a given
insurance portfolio tends to increase its dangerousness, which results in requiring more …

The comparison of two risky portfolios has always been of interest in insurance and finance.
Classically, it is often assumed that the portfolio claims are independent, but in practice, this …