id	author	title	date	pages	extension	mime	words	sentences	flesch	summary	cache	txt
cord-194157-ak2gc3nz	Clum, Charles	Parameter estimation in the SIR model from early infections	2020-08-10		.txt	text/plain	4799	434	83	We introduce a simple algorithm that uses the early infection times from a sample path of the SIR model to estimate the parameters this model, and we provide a performance guarantee in the setting of locally tree-like graphs. Section 3 gives the proof of our main result: that our approach provides decent estimates of λ and µ in the setting of locally tree-like graphs. For example, it is known that for every fixed choice of d ∈ N with d > 1 and c ∈ (0, 1 4 ), there exists γ > 0 such that a random d-regular graph on n vertices is (c log d−1 n, n −γ )-locally tree-like with probability approaching 1 as n → ∞; see Proposition 4.1 in [2] . For each n, consider the SIR model on G n with parameters λ and µ, and let E ∞ denote the event that U (∞) contains a vertex of distance greater than r from U (0).	./cache/cord-194157-ak2gc3nz.txt	./txt/cord-194157-ak2gc3nz.txt