new visualization (lumpability)

[spedygiorgio]

Hi Giorgio, I have used your R package “markovchain” on a large (>10 state) transition matrix, then merged resulting transient states for clearer presentation. I am sure there is a better way, and simplifying or analysing the transition matrix for ‘lumpability’ might be informative. So my question is (with reference to Minh*** chapter 2.17 on Lumpable States****), are there any intentions to add such functions (or do they exist under a different name), or are you aware of software tools that might help? (By the way, I was wondering whether to post a stackoverflow or cross-validated question, but my thoughts are preliminary.) Thanks for any thoughts, Dave

***Minh, D.L. (Paul), 2001. Applied Probability Models, Duxbury. Available at: https://www.amazon.co.uk/Applied-Probability-Models-Paul-Minh/dp/053438157X

**** Minh’s definition of lumpable states “add all the columns of the transition matrix corresponding to those states […] states are lumpable if […] the resultant rows corresponding to all states in the subset are identical”. Also https://en.wikipedia.org/wiki/Lumpability

Dave Evenden BSc(Hons) MSc CEng MIET PhD Researcher – Disease & Healthcare Modelling Business School University of Southampton Room 4045, Building 4, Highfield Campus Southampton SO17 1BJ

https://www.southampton.ac.uk/business-school/postgraduate/research_students/dave-evenden.page

www.management.soton.ac.uk