22 Conjugate Priors

Hello there.

Figure 22.1: Progress of streaming updates with conjugate priors. There is an initial prior $\mbox{beta}(\alpha_0, \beta_0)$ and a stream of data $y_1, y_2, \ldots, y_N.$ After each data point $y_n$ is observed, the prior parameters $\alpha_{n-1}, \beta_{n-1}$ are updated to the posterior parameters $\alpha_{n}, \beta_n,$ which then acts as a prior for subsequent data.

$Progress of streaming updates with conjugate priors. There is an initial prior $\mbox{beta}(\alpha_0, \beta_0)$ and a stream of data $y_1, y_2, \ldots, y_N.$ After each data point $y_n$ is observed, the prior parameters $\alpha_{n-1}, \beta_{n-1}$ are updated to the posterior parameters $\alpha_{n}, \beta_n,$ which then acts as a prior for subsequent data.$