Stochastic Modelling: Lecture 1 - Models
UPDATED ACTUAL Questions and CORRECT
Answers
What is a model? An imitation of a real-world system or process that
captures key features rather than full complexity.
Why are models used? To understand, analyze, and predict behavior of
real-world systems.
What is Newton's second law? F = ma, where F is force, m is mass, and a is
acceleration.
What is the exact differential x''(t) + (g/ℓ) sin(x(t)) = 0.
equation for a pendulum?
What is the small angle sin(x) ≈ x.
approximation for a pendulum?
What is a deterministic model? A model where outputs are uniquely determined
by inputs.
What is a stochastic model? A model where outputs are random variables and
not uniquely determined by inputs.
What is the key difference between Deterministic models give one outcome, while
deterministic and stochastic models? stochastic models provide a distribution of
outcomes.
UPDATED ACTUAL Questions and CORRECT
Answers
What is a model? An imitation of a real-world system or process that
captures key features rather than full complexity.
Why are models used? To understand, analyze, and predict behavior of
real-world systems.
What is Newton's second law? F = ma, where F is force, m is mass, and a is
acceleration.
What is the exact differential x''(t) + (g/ℓ) sin(x(t)) = 0.
equation for a pendulum?
What is the small angle sin(x) ≈ x.
approximation for a pendulum?
What is a deterministic model? A model where outputs are uniquely determined
by inputs.
What is a stochastic model? A model where outputs are random variables and
not uniquely determined by inputs.
What is the key difference between Deterministic models give one outcome, while
deterministic and stochastic models? stochastic models provide a distribution of
outcomes.
