Crowdly

It is Null Recurrent and Aperiodic.

It is Recurrent and Periodic.

It is Positive Recurrent and Aperiodic.

What is the term for a state in a Markov chain that, once entered, cannot be left (i.e., the transition probability to itself is 1)?

Recurrent State

Aperiodic State

Absorbing State

Transient State

What is a "Homogeneous Markov Chain"?

A chain whose transition probabilities are independent of time n.

A chain whose state space is continuous.

A chain where all states are transient.

A Markov chain is irreducible if

The entire set of states is closed and contains no smaller, proper closed subsets.

All states are transient.

It is periodic.The entire set of states is closed and contains no smaller, proper closed subsets.

It contains at least one absorbing state.

In the context of Markov Chain analysis, what does the "Long-Term Distribution (Steady-State)" aim to determine?

The exact path the system will take in the next 10 steps.

The probabilities of being in each state after the system has run for a very long time

The probability of a system crashing.

The time taken to reach a specific state for the first time.

If a non-Markovian process is 2-dependent (future depends on the two previous states) and the original state space has s=5 states, how many states will the new Markovian process have after state-space expansion?

125

Which statement best defines the Markov property for a stochastic process?

The transition probability is constant over time.

The conditional distribution of the future state depends only on the present state.

The state space must be continuous.