[Turing-Southampton] S3RI seminar: Maria Kateri, Thursday 2-3pm

[Ogden H.E.]

Dear all,

On Thursday (12 December) at 2pm in 54 / 10037 (10B), we have an S3RI seminar from Maria Kateri (RWTH Aachen University) on "Step-Stress Accelerated Life Testing Models: Statistical Inference and Optimal Design of Experiments". Details are given below.

The talk will be followed by tea and cake in the staff reading room on level 4 of building 54.

All are welcome!

Best wishes,

Helen

Step-Stress Accelerated Life Testing Models: Statistical Inference and Optimal Design of Experiments

Maria Kateri, Institute of Statistics, RWTH Aachen University

Life testing is a major issue in reliability analysis with applications in diverse fields, ranging from material sciences and quality control to biomedical sciences and ecology statistics. In all these fields acceleration of life testing procedures is important. Step-stress models form an essential part of accelerated life testing (ALT). Under a step-stress ALT (SSALT) model, the test units are exposed to stress levels that increase at intermediate time points of the experiment. Statistical inference is then developed for, e.g., the mean lifetime under each stress level, targeting to the extrapolation under normal operating conditions. This is achieved through an appropriate link function that connects the stress level to the associated mean lifetime. The assumptions made about the time points of stress level change, the termination point of the experiment, the underlying lifetime distributions, the type of censoring, if present, and the way of monitoring, lead to respective models.

Αn SSALT model is introduced that considers a general scale family of distributions, which allows for flexible modeling. It is based on a failure rate approach and leads to explicit expressions for the maximum likelihood estimators of the scale parameters of the underlying lifetime distributions out of this family. The approach is presented for Type-I censored experiments under interval monitoring of the tested items. The points of stress-level change are simultaneously inspection points as well, while there is the option of assigning additional inspection points in between the stress-level change points. Statistical inference, frequentist and Bayes, as well as the issue of optimal designing an SSALT experiment are discussed.

For the current schedule of S3RI seminars, see https://tinyurl.com/s3riseminar<https://eur03.safelinks.protection.outlook.com/?url=https%3A%2F%2Ftinyurl.com%2Fs3riseminar&data=01%7C01%7C%7Cc05734b9ff1c43657fde08d77d420eb0%7C4a5378f929f44d3ebe89669d03ada9d8%7C0&sdata=zJ3YqM7EM8iojd1G%2BMsUemDJ0oelueYzrOzY7viJH5c%3D&reserved=0>
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