AoI Perspective on the Accuracy of Monitoring Systems for Continuous-Time Markovian Sources

We consider a remote monitoring system where a monitor displays the latest state information obtained from a time-varying information source. Assuming that the information source is represented as a continuous-time Markov chain, we analyze the effect of the age of information (AoI) on the accuracy of the monitoring system. We first obtain the conditional probability of the displayed state, given the actual current state of the information source. We then derive simple lower and upper bounds for the probability that the actual current state is displayed. Finally, we develop a computing method of these probabilities for a special case that the information source is represented as a reversible Markov chain.