PhD Qualifying Exam Information for Engineering Applications of Stochastic Processes

Updated:  August 2020

Rules

  1. Students have four hours to complete the exam and submit their exam materials.
  2. Students may bring whatever they want to the exam.
  3. Students shall not access the Internet during the exam.
  4. Students shall not communicate with others during the exam.
  5. Students shall write their response to the questions on additional sheets of paper. These sheets shall be numbered sequentially, and the student shall be identified on each sheet.

Exam Integrity

  1. Before submitting their exam materials, students shall delete all files created during the exam and empty the trash/recycle bin on any devices used during the exam.
  2. When submitting their exam materials, students shall turn in all written work created during the exam.
  3. After completing the exam, students shall not communicate any information about the exam to anyone other than a member of the INEG faculty.

Topical Coverage

  1. Probability Modeling using Events
  2. Static Reliability Models
  3. Discrete Random Variables
  4. Continuous Random Variables
  5. Time-Dependent Reliability Models
  6. Multiple Random Variables
  7. Random Sampling
  8. Renewal Models
  9. Sequences of Bernoulli Trials
  10. Quality Control Sampling Schemes
  11. Poisson Process Models
  12. Discrete-Time Markov Chains
  13. Continuous-Time Markov Chains