Narayanaswamy Balakrishnan

Department of Mathematics and Statistics, McMaster University

“Gamma Degradation Model and Related Issues”

Date: Thursday, December 4, 2014

In the reliability testing of many products, only the degradation of an associated quality characteristic is observed rather than the lifetimes of units directly. For analyzing data obtained from such degradation experiments, Wiener degradation and gamma degradation models have been discussed extensively in the literature. In this talk, I will first provide an introduction to the problem and then describe these two models. I will then introduce models with random effects that account for unit-to-unit variation and then discuss likelihood inference for this model and specifically describe the steps of the EM algorithm. I will use a laser data from the literature to illustrate all the inferential methods. Finally, I will discuss the optimal design of a future degradation experiment with budget constraints.


Congratulations to our October, 2018 graduates: Jenna Tichon (Ph.D.), Kanika Grover (M.Sc.), Mohammed Kamso (M.Sc.), Inesh Munaweera Arachchilage (M.Sc.), Joynob Siddiqua (M.Sc.), Shamsia Sobhan (M.Sc.).

Important Date

October 3: Fee Payment Deadline Fall Term

Upcoming Seminars

Statistics seminar: Bo Li: “Spatially Varying Autoregressive Models for Prediction of New HIV Diagnoses” — Thursday, September 20 at 2:45 p.m., P230 Duff Roblin.

Statistics seminar: Mohammad Jafari Jozani: “Quantile Regression with Nominated Samples: An example in Osteoporosis Analysis” — Thursday, September 27 at 2:45 a.m., P230 Duff Roblin.

Statistics seminar: Yuliya Martsynyuk — Thursday, October 4 at 2:45 a.m., P230 Duff Roblin.

Statistics seminar: Darja Barr: “Evidence Driven Best Practices for Teaching the Mathematical Sciences” — Thursday, October 11 at 2:45 a.m., P230 Duff Roblin.

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