Program Overview

Department of Industrial Engineering & Operations Research, IIT Bombay

Overview

The Department of Industrial Engineering & Operations Research at IIT Bombay offers a range of academic programs, including Ph.D., M.Sc., M.Sc-Ph.D., M.Tech, B.Tech, and B.Tech Minor.

Academic Programs

• Ph.D.
• M.Sc.
• M.Sc-Ph.D.
• M.Tech
• B.Tech
• B.Tech Minor
  • IDDDP
  • CEP
• Time Table
• List of IEOR Courses
• Alumnus Endowment Awards

Course Details

IE 605: Engineering Statistics

Prerequisite: Exposure to relevant concepts at undergraduate level and instructor consent

Contents

The course provides a strong foundation in theory and methods of modeling randomness and data analysis in engineering applications. Specific topics include:

• Review of calculus-based probability concepts
• Common distributions
• Expectation
• Moment generating functions
• Sampling statistics
• Order statistics
• Properties of sample mean
• Central Limit Theorem
• Sampling from a Normal distribution
• Parameter estimation
• Maximum likelihood estimators
• Interval estimates
• Bias, efficiency, and consistency of point estimators
• Sampling plans
• Sequential tests
• Hypothesis testing
• Common tests concerning means, variances, goodness-of-fit
• Likelihood ratio test
• Neyman-Pearson lemma
• Regression models
• Design of experiments

References

• Douglas C. Montgomery, Larry Faris Thomas, and George C. Runger (2003) Engineering Statistics, 3rd edition, John Wiley & Sons
• Dennis Wackerly, William Mendenhall, and Richard L. Scheaffer (2007) Mathematical Statistics with Applications, 7th edition, Duxbury Resource Center
• John A. Rice (1994) Mathematical Statistics and Data Analysis, 3rd edition, Thomson Learning
• George Casella and Roger Berger (2004) Statistical Inference, 2nd edition, Thomson Learning
• Ajit C. Tamhane and Dorothy D. Dunlop (1999) Statistics and Data Analysis: From Elementary to Intermediate, Prentice Hall

Admissions

• Ph.D.
• M.Sc.
• M.Tech
• B.Tech
• FAQ - Admissions

Research

• Research Topics
• Publications
• Student Projects
• Computing
• FedEx ALFA
• TCAAI

Opportunities

• Faculty Positions
• Corporate Visitors
• Placements