Question

Given the TPM of a absorbing Markov chain: $P = \begin{pmatrix} 0 & 1/2 & 1/2 \ 1/2 & 0 & 1/2 \ 0 & 0 & 1 \end{pmatrix}$, a) Is it regular? b) find $P^n$ and its limit when $n \to \infty$ c) identify the nature of states. d) time to absorb from transient states e) absorption probabilities.

          Given the TPM of a absorbing Markov chain: $P = \begin{pmatrix} 0 & 1/2 & 1/2 \ 1/2 & 0 & 1/2 \ 0 & 0 & 1 \end{pmatrix}$,
a) Is it regular? b) find $P^n$ and its limit when $n \to \infty$ c) identify the
nature of states. d) time to absorb from transient states e) absorption
probabilities.

Given the TPM of a absorbing Markov chain: P =
< p m a t r i x >,
a) Is it regular? b) find P^n and its limit when n →∞ c) identify the
nature of states. d) time to absorb from transient states e) absorption
probabilities.

Added by Jorge V.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Luke Humphrey

11/10/2023

Step 1

Step 1: The given TPM is: $$P = \begin{pmatrix} 0 & 1/2 & 1/2 \\ 1/2 & 0 & 1/2 \\ 0 & 0 & 1 \end{pmatrix}$$ Show more…

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with 6 = 9, give 10 Given the TPM of a absorbing Markov chain: P = $$\begin{pmatrix} 0 & 1/2 & 1/2 \\ 1/2 & 0 & 1/2 \\ 0 & 0 & 1 \end{pmatrix}$$, a) Is it regular? b) find P" and its limit when n→∞ c) identify the nature of states. d) time to absorb from transient states e) absorption probabilities. 1/3 1/3 1/3