Department of Industrial Engineering
4207 Bell Engineering Center
1 University of Arkansas
Fayetteville, AR 72701
Phone: (479) 575-3156
Fax: (479) 575-8431
PhD Qualifying Exam Information for Engineering Applications of Stochastic Processes
Updated: August 2020
Rules
- Students have four hours to complete the exam and submit their exam materials.
- Students may bring whatever they want to the exam.
- Students shall not access the Internet during the exam.
- Students shall not communicate with others during the exam.
- 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
- 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.
- When submitting their exam materials, students shall turn in all written work created during the exam.
- 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
- Probability Modeling using Events
- Static Reliability Models
- Discrete Random Variables
- Continuous Random Variables
- Time-Dependent Reliability Models
- Multiple Random Variables
- Random Sampling
- Renewal Models
- Sequences of Bernoulli Trials
- Quality Control Sampling Schemes
- Poisson Process Models
- Discrete-Time Markov Chains
- Continuous-Time Markov Chains