is.lumpable: Check exact lumpability of a Markov chain

In markovchain: Easy Handling Discrete Time Markov Chains

Check exact lumpability of a Markov chain

Description

Verifies the strong lumpability condition with respect to a partition of the state space. For every pair of macro-states, all micro-states in the same source macro-state must have the same total probability of moving to the destination macro-state.

Usage

is.lumpable(object, partition, tol = 1e-10)

## S4 method for signature 'markovchain'
is.lumpable(object, partition, tol = 1e-10)

Arguments

object	A markovchain object.
partition	A named list of character vectors defining macro-states.
tol	Non-negative numerical tolerance for equality checks.

Value

A logical value.

References

Kemeny, J. G. and Snell, J. L. (1960). Finite Markov Chains.

markovchain documentation built on Oct. 10, 2026, 9:07 a.m.