This article surveys the application of gamma processes in maintenance. Since the
introduction of the gamma process in the area of reliability in 1975, it has been increasingly …

In comparison with the well‐researched field of analysis and design of structural systems,
the life‐cycle performance prediction of these systems under no maintenance as well as …

Conic optimization is a significant and thriving research area within the optimization
community. Conic optimization is the general class of problems concerned with optimizing a …

Stochastic Processes for Insurance and Finance offers a thorough yet accessible reference
for researchers and practitioners of insurance mathematics. Building on recent and rapid …

The Esscher transform is a time-honored tool in actuarial science. This paper shows that the
Esscher transform is also an efficient technique for valuing derivative securities if the …

Failure Rate Modeling for Reliability and Risk focuses on reliability theory and, specifically,
to the failure rate (the hazard rate, the force of mortality) modeling and its generalizations to …

The book offers an accessible reference for researchers in the probability, statistics and
special functions communities. It gives a variety of interdisciplinary relations between the two …

The only normal martingales which posses the chaotic representation property and the
weaker predictable representation property and which are at the same time also Lévy …

In the evaluation of structural reliability, a failure is defined as the event in which stress
exceeds a resistance that is liable to deterioration. This paper presents a method to combine …

We consider the classical optimal dividend control problem which was proposed by de
Finetti [Trans. XVth Internat. Congress Actuaries 2 (1957) 433-443]. Recently Avram …