Year: 2024
Type: article
Abstract: This paper aims to address the Bernoulli factory problem of 2 p 2\mathtt{p} coins by analysing the relationship between the negative binomial distributions and binomial distributions generated on the same chain of coin flips. The proposed algorithm requires fewer conditions on the constructed sequences compared with the existing algorithms. The feasibility of obtaining such 2 p 2\mathtt{p} -coin based on 𝚙-coins will be considered as well.
Authors: Shenggang Hu, Bo Zhang, Hongsheng Dai, Wei Liang
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $2,489
Awards: On intelligenCE And Networks - Synergistic research in Bayesian Statistics, Microeconomics and Computer Sciences - OCEAN, G450796543, Pooling INference and COmbining Distributions Exactly: A Bayesian approach (PINCODE), G5926391794, G6725583053, G7269369202, Pooling INference and COmbining Distributions Exactly: A Bayesian approach (PINCODE)
OpenAlex ID: W4404785127