Pareto distributions and related generalizations have historically been viewed as being
suitable for modelling income and wealth distributions. Following a brief review of the history …

In Statistical theory, inclusion of an additional parameter to standard distributions is a usual
practice. In this study, a new distribution referred to as Alpha-Power Pareto distribution is …

We develop statistical inferential tools for estimating and comparing conditional tail
expectation (CTE) functions, which are of considerable interest in actuarial science. In …

Assessment of heavy tailed data and its compound sums has many applications in
insurance, auditing and operational risk capital assessment among others. In this paper, we …

The classical problem of identifying the optimal risk transfer from one insurance company to
multiple reinsurance companies is examined under some quantile-based risk measure …

A new approach to goodness-of-fit for Pareto distributions is introduced. Based on Euclidean
distances between sample elements, the family of statistics and tests is indexed by an …

Many quantities arising in non-life insurance depend on claim severity distributions, which
are usually modeled assuming a parametric form. Obtaining good estimates of the …

Abstract Recently, Psarrakos and Navarro (2013) proposed a new measure of uncertainty
which extends the cumulative residual entropy (CRE), called the generalized cumulative …

The probabilistic behavior of the claim severity variable plays a fundamental role in
calculation of deductibles, layers, loss elimination ratios, effects of inflation, and other …

The Pareto classical distribution is one of the most attractive in statistics and particularly in
the scenario of actuarial statistics and finance. For example, it is widely used when …