Ages, interpretations, control and applications

Abstract: 

In this talk we define age and compare ages for objects from two populations by making use of their lifetime distributions. The purpose of the talk is to propose definitions based on relationships between different (but equivalent) probability components that allow tractable use in engineering and humane practices. These definitions admit different meanings that are important in many applications. Respectively, there are various areas of use. Most of the statements and Examples are straightforward consequences of the Definitions. For instance there are several ways for evaluation of the true age of an object on the background of its population. An approach to the time scaling in the age evaluation based on accelerated testing is offered, using the concept of accumulated total stress. We generalize this approach to two-dimensional and multi-dimensional distributions that also may represent life, and sketch areas where this knowledge can be applied. 

About the speaker: Boyan Dimitrov is Professor in Probability and Statistics at Kettering University (Michigan, USA). He is doing research and teaching in the areas of Statistics, Probability, and their applications in Operations Research (Reliability, Queuing, Quality Control, Environmental Modelling, Ageing, and Statistical Data Analysis).