A uniform prior for a Bernoulli success probability is a Beta(1,1) distribution. After observing successes and failures, multiplying by the likelihood yields Beta(1+h,1+t), describing uncertainty about that same probability.伯努利成功概率的均匀先验是 Beta(1,1) 分布。观察到 次成功和 次失败后,将先验乘以似然,得到 Beta(1+h,1+t),描述对同一概率的不确定性。
The gold line is the initial prior. The green posterior changes as the fixed sequence 1,1,0,1,0,1,1,1 arrives; green observation dots indicate successes and cyan dots failures.金色线是初始先验。固定序列 1、1、0、1、0、1、1、1 依次出现时,绿色后验随之更新;绿色观测点表示成功,青色点表示失败。