Created
August 10, 2016 15:41
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example, Essex, beta/binomial
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| y = 13 | |
| N = 35 | |
| a = 1 | |
| b = 1 | |
| theta = seq(0, 1, len = 100) | |
| likelihood = theta ^ y * (1-theta)^(N-y) #dbinom(y, N, theta) | |
| prior = theta ^ (a-1) * (1-theta)^(b-1) #dbeta(theta, a, b) | |
| posterior1 = prior * likelihood | |
| posterior2 = dbeta(theta, y + a, N - y + b) | |
| plot(theta, likelihood, ty='l') | |
| abline(v = y/N, col="red") | |
| plot(theta, prior, ty='l') | |
| plot(theta, posterior1, ty='l') | |
| plot(theta, posterior2, ty='l', col="blue") |
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