Concept of probability and statistics is very important to solve various civil engineering
problems. In this video course, basic probability concept and different probabilistic
models will be discussed to educate the audience about the vital role of such methods
in civil engineering.
Concept and definition of random variables and different functions
of random variables will be covered in the initial part of the course. Both univariate and
multivariate functions will be discussed.
Concept of joint, marginal and conditional
probability distributions, moments, expectations, correlation will also be discussed.
Afterwards, focus is given to commonly used probability distribution functions in civil
engineering.
Both discrete (binomial distribution, poisson’s distribution) and
continuous distribution functions (normal, lognormal, exponential distribution, gamma
distribution) will be discussed.
Concept of central limit theorem will also be also
introduced. The course will be ended with the discussion of statistics and sampling.
In
this part, goodness of fit tests, regression and correlation analyses, estimation of
distribution parameters from statistics, hypothesis testing and their significance and
Bayesian updating of distributions will be discussed.
Each topic is discussed with
reference to different application problems and their solutions. The course is mainly
designed for the post graduate students. However, general concept and basic
applications may be helpful to under graduate students also.
