10 Questions
What is a stochastic process?
A family of random variables where X(t) takes different values at different points of time.
What defines a discrete-time process?
The set T being finite or countable.
What characterizes a continuous-time process?
T not being finite or countable.
What is the state space in a stochastic process?
The set of real values that X(t) can take.
What does a continuous-time process have for every instant in time?
A value of X(t) defined for every instant t.
What characterizes a continuous-time process?
It has a non-finite or non-countable set for time, such as $T = [0,\infty)$
What defines a discrete-time process?
It has a finite or countable set for time, such as $T = {0, 1, 2, 3, ...}$
What does a stochastic process consist of?
A family of random variables ${X(t) : t \in T}$
What is the state space in a stochastic process?
The set of real values that $X(t)$ can take
What does a continuous-time process have for every instant in time?
$X(t)$ associated with every instant in time
Test your knowledge of stochastic processes with this quiz that covers the definition and properties of stochastic processes, including discrete-time processes. Explore how a random variable can take different values at different points in time, and how it relates to computational statistics and probability.
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