# Distribution of a Markov chain in reverse-time with cluster observations in the extremes of a finite time window

arXiv: https://arxiv.org/abs/2206.05607 · HTML: https://mlsanity.com/paper/2206.05607/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 11 Jun 2022.

## Built on by (most cited first, 1 of 1)

- [Debate-Feedback: A Multi-Agent Framework for Efficient Legal Judgment Prediction](https://mlsanity.com/paper/2504.05358/) (2025)

## Abstract (arXiv)

In this brief note, we find formulas for the distribution and the transition probability matrices of a stochastic process described as a time-reversion in a finite time window of a Markov chain, with cluster observation of the Markov state in the extremes of that window.