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02 Quantitative Analysis
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Lessons
Tutorial lessons
QTA 1: Fundamentals of Probability
What a sample space, an event, and an event space are Statistics, econometrics and risk management all sit on top of probability. Many events a risk manager cares about carry a number, such as the los
QTA 2: Random Variables
What a random variable is and how a realization differs from the variable Probability is built on events, and an event is an abstract object: the coin landing heads, the borrower failing to pay. Abstr
QTA 3: Common Univariate Random Variables
Which probability distributions risk managers use, and how PMF, PDF and CDF differ Statisticians have named well over two hundred distributions. A risk manager needs about eleven. Each survivor matche
QTA 4: Multivariate Random Variables
What a bivariate random variable is and how its joint PMF works A multivariate random variable is a vector of random variables, an ordered collection whose members are called components. Give it two a
QTA 5: Sample Moments
Population moments and sample moments: estimator versus estimate A random variable carries fixed numerical features: a mean, a variance, a skewness, a kurtosis. These are population moments, belonging