Time Series Modeling of Degradation Due to Outdoor Weathering

Abstract

Environmental variables have an important effect on the reliability of many products such as coatings and polymeric composites. Long-term prediction of the performance or service life of such products must take into account the probabilistic/stochastic nature of the outdoor weather. In this article, we propose a time series modeling procedure to model the time series data of daily accumulated degradation. Daily accumulated degradation is the total amount of degradation accrued within one day and can be obtained by using a degradation rate model for the product and the weather data. The fitted model of the time series can then be used to estimate the future distribution of cumulative degradation over a period of time, and to compute reliability measures such as the probability of failure. The modeling technique and estimation method are illustrated using the degradation of a solar reflector material. We also provide a method to construct approximate confidence intervals for the probability of failure.

Keywords:

• Confidence interval
• Photodegradation
• Reliability
• Service life prediction

Mathematics Subject Classification:

• 62N05

Acknowledgment

We would like thank the editor and two anonymous referees for reviewing our manuscript and for providing valuable comments and suggestions.