A Gamma Process with Three Sources of Variability

Degradation modeling requires to consider the complexity of both internal structure highly reliable products and environmental conditions, define appropriate models obtain estimations about reliability quality. These conditions reflect different sources variability that need be considered in aims obtaining accurate estimations. Although several have been proposed literature, few them simultaneous variability. In this paper, we propose a model based on gamma process considers three variability, specifically threshold, initial level degradation, scale parameter process. The convolution operation threshold then characterized via numerical integration with random scale. obtained results showed can used degradation these which means it for case studies where are inherently randomness proved. performance is illustrated comprehensive simulation study application study.