Media Storage Type : DVD-ROM
NPTEL Course Name : Probability Methods in Civil Engineering
NPTEL Subject Matter Expert : Dr. C. Mallikarjuna
NPTEL Co-ordinating Institute : IIT Guwahati
NPTEL Lecture Count : 40
Lecture Titles:
Lecture 1 - Variability in the data
Lecture 2 - Applications in Civil Engineering
Lecture 3 - Random Events and Graphical description of the data
Lecture 4 - Numerical description of the data
Lecture 5 - Numerical description of the grouped data
Lecture 6 - Introduction to probability: Sample space, event space and events
Lecture 7 - Theory of sets
Lecture 8 - Various approaches to probability
Lecture 9 - Conditional probability, total probability and Bayeï¾’s theorem
Lecture 10 - Definition, Types of random variables; Discrete random variables
Lecture 11 - Continuous random variables: pdf and cdf
Lecture 12 - Characteristics of random variables
Lecture 13 - Moment generating function; Multiple random variables and Joint distribution of two random variables
Lecture 14 - Conditional probability functions
Lecture 15 - Bernoulli and Binomial distributions
Lecture 16 - Geometric distributions
Lecture 17 - Poisson and negative binomial distributions
Lecture 18 - Applications of Poisson and Pascal distributions
Lecture 19 - Continuous distributions; Uniform distribution
Lecture 20 - Applications of negative exponential distribution
Lecture 21 - Normal distribution, Central limit theorem
Lecture 22 - Normal distribution and its applications
Lecture 23 - Lognormal and Gamma distributions
Lecture 24 - Gamma distribution and its applications
Lecture 25 - Erlang and Pearson Type III distributions
Lecture 26 - Extreme Value distributions
Lecture 27 - Random samples, statistics
Lecture 28 - z and t- distributions
Lecture 29 - Chi-square and F-distributions
Lecture 30 - Parameter estimation
Lecture 31 - Confidence interval for the population parameters - I
Lecture 32 - Confidence interval for the population parameters - II
Lecture 33 - Hypotheses and Types of errors
Lecture 34 - Hypotheses formulation and testing
Lecture 35 - Hypotheses testing on population mean
Lecture 36 - Hypotheses testing on two population means
Lecture 37 - Goodness of fit testing
Lecture 38 - Regression analysis - I
Lecture 39 - Regression analysis - II
Lecture 40 - Regression analysis - III