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.

Important Dates

December 10 – December 21: Fall Term Exam Period

December 22 – January 2: Winter Holiday (University Closed)

Upcoming Exams

STAT 1000 Final Exam
Tuesday, December 11 at 9:00 a.m.

STAT 2000 Final Exam
Tuesday, December 11 at 1:30 p.m.

STAT 4530 A01 Final Exam
Tuesday, December 11 at 1:30 p.m.

STAT 2150 A01 Final Exam
Tuesday, December 11 at 1:30 p.m.

Upcoming Seminar

Statistics seminar: Erfan Houqe: “Random effects covariance matrix modeling for longitudinal data with covariates measurement error” — Thursday, January 17 at 2:45 p.m., P230 Duff Roblin.

Where are they now?

Stella Leung, M.Sc. (2004)

Shirley Mills, M.Sc. (1970)