aperiodic 状态要具有非周期性，也就是所有状态的出现不是单一过程的循环。 下图周期为2，你取2，4，6，8...的时间段去看，只能观测到一部分状态吧。

This means that, if one of the states in an irreducible Markov Chain is aperiodic, say, then all the remaining states are also aperiodic. Since, p(1) aa> 0 p a a (1)> 0, by the definition of …

Oct 3, 2019 · I understand the definition of a state being aperiodic or periodic with period d. But what does it mean for a chain to be aperiodic / periodic with period d? Thanks.

Otherwise (k > 1), the state is said to be periodic with period k. A Markov chain is aperiodic if every state is aperiodic. My Explanation The term periodicity describes whether something (an …

Identifying the communicating classes and stating whether they are period, aperiodic, recurrent or transient Ask Question Asked 13 years ago Modified 6 years, 9 months ago

Aug 5, 2021 · Aperiodic, Ergodic, and Stationary are all related. However, a MC does not need to be Aperiodic or Ergodic to be Stationary. Stationary simply means what it seems to mean-- the …

一种直观情况：如果有正整数d，d>1，只有当n=d，2d，3d，…时，有p (n)ij>0 ，则状态i为周期性的状态，周期为d。 该祭出题主所说 不直观 的定义了：若集合 {n: n≥1, pii > 0}非空，则称它 …

Dec 1, 2021 · Given a Markov chain, what are the relationship between the property of aperiodic and the existence of stationary distribution or limiting distribution? Moreover, if a Markov chain …

20. DualCast: A Model to Disentangle Aperiodic Events from Traffic Series 21. DASS: A Dual-Branch Attention-based Framework for Trajectory Similarity Learning with Spatial and …

The characterization of aperiodicity given by Exercise 2.8 here basically says a chain is aperiodic if and only if there isn't a capturing state. This is a moot point, since I think you can do this …