Stochastic Process - Computational Statistics and Probability Quiz
10 Questions
0 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What is a stochastic process?

  • A sequence of random numbers with fixed values at different points of time.
  • A set of deterministic variables where X(t) takes the same value at different points of time.
  • A set of random variables with fixed values at different points of time.
  • A family of random variables where X(t) takes different values at different points of time. (correct)

What defines a discrete-time process?

  • The set T being finite or countable. (correct)
  • The set T being infinite and uncountable.
  • The set T being continuous.
  • The set T being a subset of real numbers.

What characterizes a continuous-time process?

  • T being a subset of real numbers.
  • T not being finite or countable. (correct)
  • T being an infinite sequence.
  • T being finite and countable.

What is the state space in a stochastic process?

<p>The set of real values that X(t) can take. (D)</p> Signup and view all the answers

What does a continuous-time process have for every instant in time?

<p>A value of X(t) defined for every instant t. (A)</p> Signup and view all the answers

What characterizes a continuous-time process?

<p>It has a non-finite or non-countable set for time, such as $T = [0,\infty)$ (C)</p> Signup and view all the answers

What defines a discrete-time process?

<p>It has a finite or countable set for time, such as $T = {0, 1, 2, 3, ...}$ (B)</p> Signup and view all the answers

What does a stochastic process consist of?

<p>A family of random variables ${X(t) : t \in T}$ (D)</p> Signup and view all the answers

What is the state space in a stochastic process?

<p>The set of real values that $X(t)$ can take (B)</p> Signup and view all the answers

What does a continuous-time process have for every instant in time?

<p>$X(t)$ associated with every instant in time (B)</p> Signup and view all the answers

More Like This

Use Quizgecko on...
Browser
Open
Browser
Browser