Bitcoin Network Size Estimation Based on Coupon Collection Model

Bitcoin was originally proposed in 2009 and exists as a p2p digital currency that can be exchanged for currency in most countries and is uncontrollable. Moreover, the bitcoin network is unstable, so it is imperative to study the security of bitcoin, and estimating its network size is one of the basic and important links. Based on the coupon collector model, this paper uses active measurement to estimate the size of the Bitcoin network. Experiments show that the model can achieve an average coverage of 88%, so the model can be used to estimate the network size. At the end of the paper, the problems and improvement ideas of the model are put forward, and this is the direction and focus of future research.

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