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 liorsinai.github.io
Dobble probabilities - Lior Sinai
| | gregorygundersen.com
Proof the Binomial Model Converges to Black-Scholes
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| | jonathanweisberg.org
Laplace's Rule of Succession
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| | Jonathan Weisberg's Homepage
| | www.randomservices.org
Beta-Bernoulli Process
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| | [AI summary] The text presents a comprehensive overview of the beta-Bernoulli process and its related statistical properties. Key concepts include: 1) The Bayesian estimator of the probability parameter $ p $ based on Bernoulli trials, which is $ rac{a + Y_n}{a + b + n} $, where $ a $ and $ b $ are parameters of the beta distribution. 2) The stochastic process $ s{Z} = rac{a + Y_n}{a + b + n} $, which is a martingale and central to the theory of the beta-Bernoulli process. 3) The distribution of the trial number of the $ k $th success, $ V_k $, which follows a beta-negative binomial distribution. 4) The mean and variance of $ V_k $, derived using conditional expectations. 5) The connection between the beta distribution and the negative binomial distributi...
| | unorde.red
What is Diffie-Hellman?
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| [AI summary] This article explains the Diffie-Hellman key exchange algorithm, its mathematical foundation in discrete logarithm problems, and its security implications in modern cryptography.