In this paper, we consider robust estimation of claim severity models in insurance, when data are affected by truncation (due to deductibles), censoring (due to policy limits), and scaling (due to coinsurance). In particular, robust estimators based on the methods of trimmed moments...

Continuous parametric distributions are useful tools for modeling and pricing insurance risks, measuring income inequality in economics, investigating reliability of engineering systems, and in many other areas of application. In this paper, we propose and develop a new method for estimation of...

Today, it is almost inevitable that software is licensed, rather than sold outright. As a part of the licensing policy, some protection mechanisms, whether hardware, legal or code-based, are invariably built into the license. The application of such mechanisms has primarily been in the realm of...

Ventilation Corridor is an important technique to mitigate local climate problems. Evaluating the benefits of ventilation corridors has gradually become the standard of its construction in cities. Previous studies have often analyzed the volume of ventilation from the perspective of geometric...

Numerous robust estimators exist as alternatives to the maximum likelihood estimator (MLE) when a completely observed ground-up loss severity sample dataset is available. However, the options for robust alternatives to a MLE become significantly limited when dealing with grouped loss severity...

Robust Estimation of Loss Models for Lognormal Insurance Payment Severity Data Chudamani Poudyal1Department of Statistics and Data Science University of Central Florida. The primary objective of this scholarly work is to develop two estimation procedures –maximum likelihood estimator(MLE) and...

With some regularity conditions maximum likelihood estimators (MLEs) al-ways produce asymptotically optimal (in the sense of consistency, efficiency, sufficiency,and unbiasedness) estimators. But in general, the MLEs lead to non-robust statisticalinference, for example, pricing models and risk...

In this paper, we study the dividend maximization problem with a non-constant discount rate in a diffusion risk model. We assume that the dividends can only be paid at a bounded rate and restrict ourselves to Markov strategies. This is a time inconsistent control problem. The equilibrium...