Probabilistic Models
Some analysis methods incorporate a statistical model of language evolution and use the properties of the model to estimate the evolution history. Statistical models are also used for simulation of data for testing purposes. A stochastic process can be used to describe how a set of characters evolves within a language. The probability with which a character will change can depend on the branch but not all charters evolve together, nor is the rate identical on all branches. It is often assumed that each character evolves independently but this is not always the case. Within a model borrowing and parallel development (homoplasy) may also be modelled, as well as polymorphisms.
Read more about this topic: Quantitative Comparative Linguistics
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