STAT 466

Download as PDF

Bayesian Reliability

Statistics College of Computational, Mathematical & Physical Sciences

Course Description

Mathematics, distributions, management, and maintenance of basic reliability concepts; collection and analysis of test data; fault tree analysis; applying reliability in various areas.

When Taught

Winter.

Min

3

Fixed

3

Fixed

3

Fixed

2

Title

Reliability Concepts

Learning Outcome

a - Become familiar with basic reliability concepts and terminology b - Discuss the challenges of modeling censored data

Title

Reliability Data

Learning Outcome

a - Know the attributes of and the situations in which the four main types of reliability data (pass/fail data, failure count data, lifetime data and degradation data) arise b - Be able to identify different types of reliability data

Title

Statistical Modeling of Reliability Data

Learning Outcome

a - Know the basic models for each type of reliability data b - Know how to construct likelihoods for reliability data c - Be able to construct likelihoods for censored lifetime data and explain the rationale

Title

Bayesian Modeling

Learning Outcome

a - Know the different types of prior distributions b - Recognize and identify the influence of prior distributions in an analysis c - Use Bayesian modeling for inference and prediction from reliability data d - Know how to sample from a variety of posterior distributions e - Model censored lifetime data with standard parametric distributions

Title

Advanced concepts

Learning Outcome

Advanced concepts may include: a - Be able to incorporate covariates into reliability models and interpret the results b - Analyze data from accelerated life tests c - Understand and apply the basic concepts of system reliability d - Understand the basic terms and concepts of reliability from a repairable systems context e - Understand the concepts of producer's risk and consumer's risk in assurance testing