Created byRajib Maity
Concept of probability and statistics is very important to solve various civil engineering problems. In this course, basic probability concept and different probabilistic models will be discussed. Concept and definition of random variables and different functions of random variables will be covered in the initial part of the course. Afterwards, focus is given to commonly used probability distribution functions in civil engineering. Discussions on statistics and sampling are presented towards the last part of the course. In this part, goodness of fit tests, regression and correlation analyses, estimation of distribution parameters from statistics, hypothesis testing and their significance will be discussed. Each topic is discussed with reference to different application problems and their solutions in different fields of civil engineering, such as Structural Engineering, Transportation Engineering, Water Resources and Environmental Engineering, Geotechnical Engineering etc.
Core Course and students of BE/ME/MS/MSc/PhD.
Basic Knowledge of Probability and Statistics
Random events, Probability, Set Theory, Assignment
Axioms of Probability, Assignment
Random Variables, Probability Distribution Functions
Cumulative Distribution Functions, Descriptors of random variables, Assignment
Probability Distribution of discrete and continuous random variables, Assignment
Probability Distribution of continuous random variables, Assignment
Functions of Random Variables, Assignment
Common Probability Models, Normal, Log Normal and exponential distributions
Gamma and Extreme value distributions, Assignment
Sampling distribution, Parameter Estimation, Assignment
Hypothesis testing, Goodness-of-fit tests, Assignment
Regression Analysis, Assignment
To access the content, please enroll in the course.
Course Syllabus & Schedule
Dr. Rajib Maity is Associate Professor of Department of Civil Engineering, Indian Institute of Technology, Kharagpur, India. His research area includes hydroclimatology, stochastic hydrology, climate impacts on water resources, hydrologic time series analyses and forecasting etc.