Statistics and risk modelling using Python
Statistics and risk modelling using Python
Eric Marsden
Statistics is the science of learning from experience, particularly experience that arrives a little bit at a time. -- B. Efron, Stanford
Learning objectives
Using Python/SciPy tools: 1 Analyze data using descriptive statistics and graphical tools 2 Fit a probability distribution to data (estimate distribution parameters) 3 Express various risk measures as statistical tests 4 Determine quantile measures of various risk metrics 5 Build flexible models to allow estimation of quantities of interest and
associated uncertainty measures 6 Select appropriate distributions of random variables/vectors for stochastic
phenomena
2 / 87
Where does this fit into risk engineering?
curve
fitting
data
probabilistic model
consequence model
event probabilities
event consequences
risks
3 / 87
Where does this fit into risk engineering?
curve
fitting
data
probabilistic model
consequence model
event probabilities
event consequences
risks
costs
criteria
decision-making
3 / 87
Where does this fit into risk engineering?
curve
fitting
data
probabilistic model
consequence model
These slides
3 / 87
event probabilities
event consequences
risks
costs
criteria
decision-making
Angle of attack: computational approach to statistics
Emphasize practical results rather than formul? and proofs Include new statistical tools which have become practical thanks to
power of modern computers ? "resampling" methods, "Monte Carlo" methods Our target: "Analyze risk-related data using computers" If talking to a recruiter, use the term data science ? very sought-after skill in 2019!
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A sought-after skill
Source: jobtrends 6 / 87
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