Monte Carlo (Applied Mathematics) trivia
Monte Carlo (Applied Mathematics) Mini Quiz
Test your knowledge with these top questions!
Classic Monte Carlo estimates of π sample points inside a circle and its surrounding what?
The circle-to-square area ratio lets point counts approximate π without measuring the circumference.
Monte Carlo integration estimates an integral by averaging sampled values of what?
For uniform samples, scaling the mean integrand value by the domain size estimates the integral.
Why does a Monte Carlo estimate usually become more stable with more independent samples?
The law of large numbers makes sample averages converge toward the expected value as independent samples accumulate.
In Monte Carlo Metropolis sampling, what can happen when a proposed move lowers the target probability?
Accepting some lower-probability moves helps the chain explore the target distribution instead of becoming trapped.