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Course Co-ordinated by :
IIT Guwahati
Course Available from :
03-July-2012
NPTEL
Civil Engineering
Probability Methods in Civil Engineering (Web)
Bernoulli and Binomial distributions
Modules / Lectures
Introduction
Variability in the data
Applications in Civil Engineering
Random Events
Random Events and Graphical description of the data
Numerical description of the data
Numerical description of the grouped data
Introduction to probability: Sample space, event space and events
Theory of sets
Various approaches to probability
Conditional probability, total probability and Baye’s theorem
Random variables
Definition, Types of random variables; Discrete random variables
Continuous random variables: pdf and cdf
Characteristics of random variables
Moment generating function; Multiple random variables and Joint distribution of two random variables
Conditional probability functions
Discrete probability distributions
Bernoulli and Binomial distributions
Geometric distributions
Poisson and negative binomial distributions
Applications of Poisson and Pascal distributions
Continuous probability distributions
Continuous distributions; Uniform distribution.
Applications of negative exponential distribution
Normal distribution, Central limit theorem
Normal distribution and its applications
Lognormal and Gamma distributions
Gamma distribution and its applications
Erlang and Pearson Type III distributions
Extreme Value distributions
Sampling distributions
Random samples, statistics, and sampling distributions
z and t- distributions
Chi-square and F-distributions
Parameter estimation
Parameter estimation
Confidence interval for the population parameters-I
Confidence interval for the population parameters-II
Hypotheses testing
Hypotheses and Types of errors
Hypotheses formulation and testing
Hypotheses testing on population mean
Hypotheses testing on two population means
Goodness of fit testing
Regression analysis-I
Regression analysis-II
Regression analysis III
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